{"id":29,"date":"2010-05-25T15:01:19","date_gmt":"2010-05-25T15:01:19","guid":{"rendered":"http:\/\/lptms.u-psud.fr\/raoul_santachiara\/?page_id=29"},"modified":"2023-02-01T11:54:11","modified_gmt":"2023-02-01T11:54:11","slug":"publications","status":"publish","type":"page","link":"https:\/\/www.lptms.universite-paris-saclay.fr\/raoul_santachiara\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<ol>\n<li><a href=\"https:\/\/arxiv.org\/abs\/2301.13727\">Long-range quenched bond disorder in bidimensional Potts model<\/a>, Francesco Chippari, Marco Picco, Raoul Santachiara<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/2301.07454\">On the analytical continuation of lattice Liouville theory,<\/a> Xiangyu Cao,\u00a0 Raoul Santachiara, Romain Usciati<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/2111.03846\">On the CFT describing the spin clusters in 2d Potts spin cluster,<\/a><br \/>\nMarco Picco,\u00a0 Raoul Santachiara<\/li>\n<li><a href=\"https:\/\/link.springer.com\/article\/10.1007\/JHEP10(2021)175\">Crossing-symmetric Twist Field Correlators and Entanglement Negativity in Minimal CFTs<\/a> ,<br \/>\nFiliberto Ares, Raoul Santachiara, Jacopo Viti<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/2012.09570\">Level set percolation in Two-Dimensional Gaussian Free Field<\/a>,<br \/>\nXiangyu Cao,\u00a0 Raoul Santachiara<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/2006.09850\">Spin interfaces and crossing probabilities of spin clusters in parafermionic models<\/a>,<br \/>\nYoshishiki Fukusumi, Marco Picco,\u00a0 Raoul Santachiara<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/2005.11830\">Topological effects and conformal invariance in long-range correlated random surfaces<\/a>,<br \/>\nNina Javerzat, Sebastian Grijalva, Alberto Rosso,\u00a0 Raoul Santachiara<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1912.05865\">Three- and four-point connectivities of two-dimensional critical <span id=\"MathJax-Element-36-Frame\" class=\"MathJax\"><span id=\"MathJax-Span-238\" class=\"math\"><span id=\"MathJax-Span-239\" class=\"mrow\"><span id=\"MathJax-Span-240\" class=\"mi\">Q<\/span><span id=\"MathJax-Span-241\" class=\"mo\">\u2212<\/span><\/span><\/span><\/span> Potts random clusters on the torus<\/a>,<br \/>\nNina Javerzat, Marco Picco,\u00a0 Raoul Santachiara<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1907.11041\">Two-point connectivity of two-dimensional Q- Potts random cluster model on the torus,<\/a><br \/>\nNina Javerzat, Marco Picco,\u00a0 Raoul Santachiara<\/li>\n<li><a href=\"https:\/\/scipost.org\/SciPostPhys.7.4.044\">On four-point connectivities in 2d Potts model,<\/a><br \/>\nMarco\u00a0 Picco, Sylvain Ribault, Raoul Santachiara<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1812.10362\">Crossing invariant correlation functions at <span id=\"MathJax-Element-1-Frame\" class=\"MathJax\"><span id=\"MathJax-Span-1\" class=\"math\"><span id=\"MathJax-Span-2\" class=\"mrow\"><span id=\"MathJax-Span-3\" class=\"mi\">c<\/span><span id=\"MathJax-Span-4\" class=\"mo\">=<\/span><span id=\"MathJax-Span-5\" class=\"mn\">1<\/span><\/span><\/span><\/span> from isomonodromic <span id=\"MathJax-Element-2-Frame\" class=\"MathJax\"><span id=\"MathJax-Span-6\" class=\"math\"><span id=\"MathJax-Span-7\" class=\"mrow\"><span id=\"MathJax-Span-8\" class=\"texatom\"><span id=\"MathJax-Span-9\" class=\"mrow\"><span id=\"MathJax-Span-10\" class=\"mo\">\u03c4<\/span><\/span><\/span><\/span><\/span><\/span> functions <\/a>,<br \/>\nP. Gavrilenko, R.Santachiara<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1806.09494\">Modified Szego-Widom Asymptotics for Block Toeplitz Matrices with Zero Modes<\/a>,<br \/>\nE. Basor,J. Dubail,T. Emig, R. Santachiara<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1806.02790\">Notes on the solutions of Zamolodchikov-type recursion relations in Virasoro minimal models<\/a>,<br \/>\nNina Javerzat, Raoul Santachiara, Omar Foda<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1801.09991\">Operator Product Expansion in Liouville Field Theory and Seiberg type transitions in log-correlated Random Energy Models,\u00a0<\/a><br \/>\nXiangyu Cao, Pierre Le-Doussal, Alberto Rosso, Raoul Santachiara<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1711.04361\" target=\"_blank\" rel=\"noopener\">Rigid Fuchsian system in 2-dimensional conformal field theories<\/a>,<br \/>\nVladimir Belavin, Yoshishige Haraoka, Raoul Santachiara<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1611.04814\">Conformal field theory of critical Casimir forces between surfaces with alternating boundary conditions in two dimensions<\/a>,<br \/>\nJerome Dubail, Raoul Santachiara, Thorsten Emig<\/li>\n<li><a href=\"https:\/\/scipost.org\/commentaries\/arXiv:1503.02067v2\/\">Liouville field theory and log-correlated Random Energy Models<\/a>,<br \/>\nXiangyu Cao, Pierre Le-Doussal, Alberto Rosso, Raoul Santachiara<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1610.07993\">Second level semi-degenerate fields in W3 Toda theory: matrix element and differential equation<\/a>,<br \/>\nVladimir Belavin, Xiangyu Cao, Benoit Estienne, Raoul Santachiara<\/li>\n<li><a href=\"https:\/\/scipost.org\/SciPostPhys.1.1.009\">A conformal bootstrap approach to critical percolation in two dimensions<\/a><br \/>\nMarco Picco, Sylvain Ribault, Raoul Santachiara<\/li>\n<li><a href=\"http:\/\/arxiv.org\/abs\/1602.03870\" target=\"_blank\" rel=\"noopener\">Correlation functions with fusion-channel multiplicity in W3 Toda field theory<\/a>,<br \/>\nWladimir Belavin,\u00a0 Benoit Estienne, Omar Foda,\u00a0 Raoul Santachiara<\/li>\n<li><a href=\"http:\/\/arxiv.org\/abs\/1509.03187\" target=\"_blank\" rel=\"noopener\">Extreme value statistics of 2d Gaussian Free Field: effect of finite domains<\/a> \u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"http:\/\/arxiv.org\/abs\/1506.03291\"><br \/>\n<\/a>Xiangyu Cao, Alberto Rosso, Raoul Santachiara<\/li>\n<li><a href=\"http:\/\/arxiv.org\/abs\/1507.03540\">AGT, N-Burge partitions and W_N minimal models<\/a>,<br \/>\nWladimir Belavin,\u00a0 Omar Foda,\u00a0 Raoul Santachiara<\/li>\n<li><a href=\"http:\/\/arxiv.org\/abs\/1506.03291\">Conformal invariance of loop ensembles under Kardar-Parisi-Zhang dynamics<\/a>\u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"http:\/\/arxiv.org\/abs\/1506.03291\"><br \/>\n<\/a>Xiangyu Cao, Alberto Rosso, Raoul Santachiara<\/li>\n<li>\u00a0<a href=\"http:\/\/arxiv.org\/abs\/1505.02145\">Critical Casimir forces between inhomogenous boundaries<\/a><br \/>\nJerome Dubail, Raoul Santachiara, Thorsten Emig<\/li>\n<li>\u00a0<a href=\"http:\/\/arxiv.org\/abs\/1503.02067\" target=\"_blank\" rel=\"noopener\">Liouville theory with a central charge less than one<\/a><br \/>\nSylvain Ribault, Raoul Santachiara<\/li>\n<li>\u00a0<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01006572\/\" target=\"_blank\" rel=\"noopener\">Local logarithmic correlators as limits of Coulomb gas integrals<\/a><br \/>\nRaoul Santachiara, Jacopo Viti, Nuclear Physics B 882,\u00a0 229 (2014)<\/li>\n<li>\u00a0<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-00905455v1\" target=\"_blank\" rel=\"noopener\">Spin clusters and conformal field theory<\/a><br \/>\nGesualdo Delfino, Marco Picco, Raoul Santachiara, Jacopo Viti, Journal of Statistical Mechanics: Theory and Experiment, P11011 (2013)<\/li>\n<li>\u00a0<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-00818106v1\" target=\"_blank\" rel=\"noopener\">Connectivities of Potts Fortuin-Kasteleyn clusters and time-like Liouville correlator<\/a><br \/>\nMarco Picco, Raoul Santachiara, Jacopo Viti, Gesualdo Delfino,\u00a0 Nuclear Physics B, Volume 875, 719 (2013)<\/li>\n<li><a href=\"http:\/\/arxiv.org\/abs\/1110.3524\" target=\"_blank\" rel=\"noopener\">\u00a0<\/a><a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-00633537v1\" target=\"_blank\" rel=\"noopener\">Random ballistic growth and diffusion in symmetric spaces<\/a><br \/>\nA. Gorsky, S. Nechaev, R. Santachiara, G. Schehr,\u00a0 Nucl. Phys. B. 862, 167-192 (2012)<\/li>\n<li>\u00a0<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-00764625v1\" target=\"_blank\" rel=\"noopener\">Conformal blocks in Virasoro and W theories: duality and the Calogero-Sutherland model<\/a><br \/>\nBenoit Estienne, Vincent Pasquier, Raoul Santachiara, Didina Serban<\/li>\n<li>\u00a0<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-00533081v1\" target=\"_blank\" rel=\"noopener\">Critical interfaces and duality in the Ashkin Teller model<\/a><br \/>\nMarco Picco, Raoul Santachiara<br \/>\nPhys. Rev. E 83, 061124 (2011)<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/1005.3475\">Electron-Quasihole Duality and Second Order Differential Equation for Read-Rezayi and Jacks Wavefunctions<\/a><br \/>\nAuthors: Benoit Estienne, B.Andrei Bernevig, Raoul Santachiara<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/1005.0493\">Critical interfaces of the Ashkin-Teller model at the parafermionic point<\/a><br \/>\nAuthors: Marco Picco (LPTHE), Raoul Santachiara (LPTMS)<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/1002.5017\">Moore-Read Fractional Quantum Hall wavefunctions and SU(2) quiver gauge theories<\/a><br \/>\nAuthors: Raoul Santachiara, Alessandro Tanzini<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/0906.1969\">Relating Jack wavefunctions to WA_{k-1} theories<\/a><br \/>\nAuthors: Benoit Estienne, Raoul Santachiara<br \/>\nJournal-ref: J. Phys. A: Math. Theor. 42 No 44 (6 November 2009) 445209<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/0904.3702\">Clustering properties, Jack polynomials and unitary conformal field theories<\/a><br \/>\nAuthors: Benoit Estienne, Nicolas Regnault, Raoul Santachiara<br \/>\nJournal-ref: Nucl. Phys. B824, 539-562(2010)<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/0812.3526\">Geometrical properties of parafermionic spin models<\/a><br \/>\nAuthors: Marco Picco (LPTHE), Raoul Santachiara (LPTMS), Alberto Sicilia (LPTHE)<br \/>\nJournal-ref: Journal of Statistical Mechanics: Theory and Experiment (2009) P04013<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/0811.2991\">Off-diagonal correlations in one-dimensional anyonic models: A replica approach<\/a><br \/>\nAuthors: Pasquale Calabrese, Raoul Santachiara<br \/>\nJournal-ref: J. Stat. Mech. P03002,2009<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/0809.3985\">Critical interfaces in the random-bond Potts model<\/a><br \/>\nAuthors: Jesper L. Jacobsen, Pierre Le Doussal, Marco Picco, Raoul Santachiara, Kay Joerg Wiese<br \/>\nJournal-ref: Phys.Rev.Lett.102:070601,2009<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/0802.1913\">One-particle density matrix and momentum distribution function of one-dimensional anyon gases<\/a><br \/>\nAuthors: Raoul Santachiara, Pasquale Calabrese<br \/>\nJournal-ref: J. Stat. Mech. (2008) P06005<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/0708.4295\">Numerical study on Schramm-Loewner Evolution in nonminimal conformal field theories<\/a><br \/>\nAuthors: Marco Picco (LPTHE), Raoul Santachiara (LPTENS)<br \/>\nJournal-ref: Physical Review Letters 100 (2008) 015704<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/0705.2749\">SLE in self-dual critical Z(N) spin systems: CFT predictions<\/a><br \/>\nAuthors: Raoul Santachiara<br \/>\nJournal-ref: Nucl. Phys. B 793, 396 (2008)<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/cond-mat\/0611326\">Universal width distributions in non-Markovian Gaussian processes<\/a><br \/>\nAuthors: Raoul Santachiara, Alberto Rosso, Werner Krauth<br \/>\nJournal-ref: J. Stat. Mech. (2007) P02009<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/cond-mat\/0610402\">Entanglement properties and moment distributions of a system of hard-core anyons on a ring<\/a><br \/>\nAuthors: Raoul Santachiara, Franck Stauffer, Daniel Cabra<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/cond-mat\/0602527\">Increasing of entanglement entropy from pure to random quantum critical chains<\/a><br \/>\nAuthors: Raoul Santachiara<br \/>\nJournal-ref: J. Stat. Mech. (2006) L06002<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/cond-mat\/0503354\">Supersymmetric Model of Spin-1\/2 Fermions on a Chain <\/a><br \/>\nAuthors: Raoul Santachiara, Kareljan Schoutens<br \/>\nJournal-ref: J.Phys.A: Math.Gen. 38 5425 (2005)<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/cond-mat\/0503134\">Geometry of Gaussian signals<\/a><br \/>\nAuthors: Alberto Rosso, Raoul Santachiara, Werner Krauth<br \/>\nJournal-ref: J. Stat. Mech. (2005) L08001<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/hep-th\/0501128\">The third parafermionic chiral algebra with the symmetry Z_{3}<\/a><br \/>\nAuthors: Vladimir S. Dotsenko, Raoul Santachiara<br \/>\nJournal-ref: Phys.Lett. B611 (2005) 189-192<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/hep-th\/0310131\">Parafermionic theory with the symmetry Z_N, for N even <\/a><br \/>\nAuthors: Vladimir S Dotsenko, Jesper Lykke Jacobsen, Raoul Santachiara<br \/>\nJournal-ref: Nucl.Phys. B679 (2004) 464-494<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/hep-th\/0310102\">Conformal field theories with Z_N and Lie algebra symmetries<\/a><br \/>\nAuthors: Vladimir S Dotsenko, Jesper Lykke Jacobsen, Raoul Santachiara<br \/>\nJournal-ref: Phys.Lett. B584 (2004) 186-191<\/li>\n<li><a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/hep-th\/0303126\">Parafermionic theory with the symmetry Z_N, for N odd<\/a><br \/>\nAuthors: Vladimir S Dotsenko, Jesper Lykke Jacobsen, Raoul Santachiara<br \/>\nJournal-ref: Nucl.Phys. B664 (2003) 477-511<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/hep-th\/0212158\">Parafermionic theory with the symmetry Z_5<\/a><br \/>\nAuthors: Vladimir Dotsenko, Jesper Lykke Jacobsen, Raoul Santachiara<br \/>\nJournal-ref: Nucl.Phys. B656 (2003) 259-324<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/cond-mat\/0112120\">Universality of coupled Potts models<\/a><br \/>\nAuthors: Vl.S. Dotsenko, J.L. Jacobsen, X.S. Nguyen, R. Santachiara<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/hep-th\/0110210\">Coupled Models $WD_{3}$. Their Fixed Points<\/a><br \/>\nAuthors: Vladimir S. Dotsenko, Xuan Son Nguyen, Raoul Santachiara<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/hep-th\/0104197\">Models WD_{n} in the presence of disorder and the coupled models <\/a><br \/>\nAuthors: Vladimir S. Dotsenko, Xuan Son Nguyen, Raoul Santachiara<br \/>\nJournal-ref: Nucl.Phys. B613 (2001) 445-471<\/li>\n<li>\u00a0<a title=\"Download PDF\" href=\"http:\/\/arxiv.org\/pdf\/cond-mat\/0007280\">On-site magnetization in open antiferromagnetic chains: a classical analysis versus NMR experiments in a spin-1 compound<\/a><br \/>\nAuthors: S. Botti, A. Rosso, R. Santachiara, F. Tedoldi<br \/>\nJournal-ref: Phys. Rev. B 63, 012409 (2001)<\/li>\n<li><a href=\"http:\/\/lptms.u-psud.fr\/raoul_santachiara\/files\/browse.pdf\">\u00a089Y NMR Imaging of the Staggered Magnetization in the Doped Haldane Chain Y2BaNi1-xMgxO5<\/a><br \/>\nAuthors: F.Tedoldi, R.Santachiar, M.Horvatic<br \/>\nRef:Phys. Rev. Lett. 83, 412 (1999)<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Long-range quenched bond disorder in bidimensional Potts model, Francesco Chippari, Marco Picco, Raoul Santachiara On the analytical continuation of lattice Liouville theory, Xiangyu Cao,\u00a0 Raoul Santachiara, Romain Usciati On the CFT describing the spin clusters in 2d Potts spin cluster, &hellip; <a href=\"https:\/\/www.lptms.universite-paris-saclay.fr\/raoul_santachiara\/publications\/\">Continuer la lecture <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-29","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/raoul_santachiara\/wp-json\/wp\/v2\/pages\/29","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/raoul_santachiara\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/raoul_santachiara\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/raoul_santachiara\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/raoul_santachiara\/wp-json\/wp\/v2\/comments?post=29"}],"version-history":[{"count":39,"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/raoul_santachiara\/wp-json\/wp\/v2\/pages\/29\/revisions"}],"predecessor-version":[{"id":98,"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/raoul_santachiara\/wp-json\/wp\/v2\/pages\/29\/revisions\/98"}],"wp:attachment":[{"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/raoul_santachiara\/wp-json\/wp\/v2\/media?parent=29"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}