<< 1 �����\]���q��L�`u�� f�X�M��*�bP+w�¿V? 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. Introduction to conformal field theory, Lecture 1 - YouTube 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. 105 0 obj It has long been suspected that the Langlands duality should somehow be related to various dualities observed in These lectures consisted of an elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory. x��YI��F�ϯ��T�N���xєSI������zd�$�4��}z�K endobj � Some features of the site may not work correctly. 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. Kac determinant and unitarity 5. Although the course was offered primarily for graduate students, these lecture notes have been prepared for a more general audience. Conformal theories in d dimensions 2. 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. 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. Although the course was offered primarily for graduate students, these lecture notes have been prepared for a more general audience. endstream \Conformal Field Theory" b y Di F rancesco-Mathieu-S en ec hal, Springer 1996) more accessible to mathematicians. Semantic Scholar is a free, AI-powered research tool for scientific literature, based at the Allen Institute for AI. %���� Contents: 1. 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. /Filter /FlateDecode 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. xڅSMo�@��W�$3�����q�VQ��-RQ�A������,�Z5UN;;3����@ɉP�iE�8���fo���"ّ�J����TӘ*�c�1�&��f����SvCR�J�0V��*������tWL�'�Q
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��0����ڃ��uZ��S�0�� 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. %PDF-1.5 Identication of m = 3 with the critical Ising model 6. stream Conformal theories in 2 dimensions 3. 140 0 obj /Length 1084 Contents 1 Introduction1 2 Conformal Transformations2 << /Filter /FlateDecode Phys. >> >> theory, based on the t w o-dimensional CFT, of sup erconformal theories. ]!����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�. 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� �o./�� The central charge and the Virasoro algebra 4. Although the course was offered primarily for graduate students, these lecture notes have been prepared for a more general audience. W e will ﬁnish this lecture by discussing the simplest type of conformal ﬁeld theory: one living in d = 1 dimensions. /Length 520 You are currently offline. The one dimension corresponds to time, of course, so we 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. stream