endobj 140 0 obj They are intended as an introduction to conformal field theories in various dimensions, with applications related to topics of particular interest: topics include the conformal bootstrap program, boundary conformal field theory, and applications related to the AdS/CFT correspondence. Kac determinant and unitarity 5. W e will ﬁnish this lecture by discussing the simplest type of conformal ﬁeld theory: one living in d = 1 dimensions. x��YI��F�ϯ��T�N���xєSI������zd�$�4��}z�K << Conformal theories in 2 dimensions 3. LECTURES ON THE LANGLANDS PROGRAM AND CONFORMAL FIELD THEORY 3 Introduction These lecture notes give an overview of recent results in geometric Langlands correspon-dence which may yield applications to quantum eld theory. >> You are currently offline. �����\]���q��L�`u�� f�X�M��*�bP+w�¿V? 0f@Y�5�L�A������m����O���)�cY� �cX`��iȋ���/�u���bR��n��"p�֒�[=>QRb�P�ؐ繯��q�HGIK�����sbP��Gj%h���0A�ܴ�j����h:C�w�p���߮B� B241, 333 (1984), Universal Bounds on Operator Dimensions in General 2D Conformal Field Theories, View 10 excerpts, references background and methods, View 2 excerpts, references background and methods, By clicking accept or continuing to use the site, you agree to the terms outlined in our. � Identication of m = 3 with the critical Ising model 6. Although the course was offered primarily for graduate students, these lecture notes have been prepared for a more general audience. >> << ]!����r��\k�A�$6BQQI�DF�p�V$�.�P��ú��RV��/xQ���x|�v�V!n��mQ�ӝ^%�`J�4��C�b�_�PK��S��oH"�!ǍP�#B�vI�CUVf��F!��ʫ�t�i�q�c����v.ʁ�. Phys. Conformal theories in d dimensions 2. Although the course was offered primarily for graduate students, these lecture notes have been prepared for a more general audience. stream /Length 1084 The mo dest goal of these lectures is to mak e the ph ysical literature on CFT, b oth the original pap ers and the textb o oks (e.g. %���� \Conformal Field Theory" b y Di F rancesco-Mathieu-S en ec hal, Springer 1996) more accessible to mathematicians. %PDF-1.5 theory, based on the t w o-dimensional CFT, of sup erconformal theories. Contents 1 Introduction1 2 Conformal Transformations2 These lectures notes are based on courses given at National Taiwan University, National Chiao-Tung University, and National Tsing Hua University in the spring term of 2015. These lectures notes are based on courses given at National Taiwan University, National Chiao-Tung University, and National Tsing Hua University in the spring term of 2015. Semantic Scholar is a free, AI-powered research tool for scientific literature, based at the Allen Institute for AI. 1 The one dimension corresponds to time, of course, so we xڅSMo�@��W�$3�����q�VQ��-RQ�A������,�Z5UN;;3����@ɉP�iE�8���fo���"ّ�J����TӘ*�c�1�&��f����SvCR�J�0V��*������tWL�'�Q q"��8[/e�?�G�f�4��������@d�AR��T�t����\Ν�n��6\�MՖ!��� �#���R���z��$\��"�7b�*DS�/�),z��\H�MW�c����_�4p&��i y-@���r��݈�!�� �F�R�f7�P �m�/c���0�?���F��ޞ�mS��r�Ou��SS�!��eh� ��0����ڃ��uZ��S�0�� Some features of the site may not work correctly. /Length 520 The central charge and the Virasoro algebra 4. These lectures notes are based on courses given at National Taiwan University, National Chiao-Tung University, and National Tsing Hua University in the spring term of 2015. endstream �o./�� Contents: 1. stream It has long been suspected that the Langlands duality should somehow be related to various dualities observed in 105 0 obj /Filter /FlateDecode Although the course was offered primarily for graduate students, these lecture notes have been prepared for a more general audience. They are intended as an introduction to conformal field theories in various dimensions, with applications related to topics of particular interest: topics include the conformal bootstrap…, Weizmann Lectures on the Numerical Conformal Bootstrap, Higher Spin Operators in Conformal Field Theories, The Conformal Bootstrap: Numerical Techniques and Applications, Hidden global conformal symmetry without Virasoro extension in theory of elasticity, EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions, Wilson-Fisher fixed points for any dimension, AdS/CFT correspondence in operator formalism, Mellin space bootstrap for global symmetry, Lectures on Conformal Invariance and Percolation Lectures Delivered in \new Trends of Mathematical Physics and Probability, What Maxwell Theory in D 4 teaches us about scale and conformal invariance, OPE Convergence in Conformal Field Theory, Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory - Nucl. Lectures on Conformal Field Theories in more than two dimensions Hugh Osborn Department of Applied Mathematics and Theoretical Physics, Wilberforce Road, Cambridge CB3 0WA, England Abstract email:ho@damtp.cam.ac.uk. These lectures consisted of an elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory. Introduction to conformal field theory, Lecture 1 - YouTube

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