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Lectures on Conformal Field Theory

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arxiv 1511.04074 v2 pith:D64CN6RV submitted 2015-11-12 hep-th

classification hep-th
keywords conformalfieldtheorylecturesnationaluniversityalthoughapplications
verification ladder T0 review T1 audit T2 compute T3 formal
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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. 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 program, boundary conformal field theory, and applications related to the AdS/CFT correspondence. We assume the reader to be familiar with quantum mechanics at the graduate level and to have some basic knowledge of quantum field theory. Familiarity with string theory is not a prerequisite for this lectures, although it can only help.

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Cited by 3 Pith papers

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  1. Tensionless limit of M5-brane and conformal symmetry of its bosonic body

    hep-th 2026-07 conditional novelty 6.0 of 10

    The tensionless M5-brane has a complete action whose bosonic sector is invariant under 11D conformal symmetry and reduces to conformal chiral 2-form electrodynamics when transverse fluctuations vanish.

  2. Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators

    hep-th 2025-07 conditional novelty 4.0 of 10

    Gauge-invariant magnetic translation operators, built from a gauge-covariant pseudo-momentum P, reproduce Curtright-Zachos generators through a rotation-dilatation duality.

  3. Lectures on Semiclassical Methods for Composite Operators

    hep-th 2026-06 unverdicted novelty 3.0 of 10

    Lecture notes develop semiclassical methods to compute large-n scaling dimensions of composite operators in CFTs, recovering known results in free theory and deriving one-loop corrections at the Wilson-Fisher fixed point.

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