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Note on Weyl versus conformal invariance in field theory
European Physical Journal C: Particles and Fields, 2017 It was argued recently that conformal invariance in flat spacetime implies Weyl invariance in a general curved background for unitary theories and possible anomalies in the Weyl variation of scalar operators are identified.
Feng Wu
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DILOGARITHM IDENTITIES IN CONFORMAL FIELD THEORY [PDF]
Modern Physics Letters A, 1993 Dilogarithm identities for the central charges and conformal dimensions exist for at least large classes of rational conformally invariant quantum field theories in two dimensions. In many cases, proofs are not yet known but the numerical and structural evidence is convincing.
Nahm, W., Recknagel, A., Terhoeven, M.
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Conformal field theory, boundary conditions and applications to string theory [PDF]
, 2000 This is an introduction to two-dimensional conformal field theory and its applications in string theory. Modern concepts of conformal field theory are explained, and it is outlined how they are used in recent studies of D-branes in the strong curvature ...
Walcher, J. +8 more
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Boundary conformal field theory at large charge
Journal of High Energy Physics, 2021 We study operators with large internal charge in boundary conformal field theories (BCFTs) with internal symmetries. Using the state-operator correspondence and the existence of a macroscopic limit, we find a non-trivial relation between the scaling ...
Gabriel Cuomo +2 more
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4d/2d Correspondence: Instantons and W-Algebras [PDF]
, 2012 In this thesis, we study the 4d/2d correspondence of Alday-Gaiotto-Tachikawa, which relates the class of 4-dimensional N=2 gauge theories (theories of class S) to a 2-dimensional conformal field theory. The 4d gauge theories are obtained by compactifying
Song, Jaewon
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Hecke relations in rational conformal field theory
Journal of High Energy Physics, 2018 We define Hecke operators on vector-valued modular forms of the type that appear as characters of rational conformal field theories (RCFTs). These operators extend the previously studied Galois symmetry of the modular representation and fusion algebra of
Jeffrey A. Harvey, Yuxiao Wu
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Constraints on chiral operators in N=2 SCFTs [PDF]
, 2014 : We study certain higher-spin chiral operators in (formula presented)(formula presented) superconformal field theories (SCFTs). In Lagrangian theories, or in theories related to Lagrangian theories by generalized Argyres-Seiberg-Gaiotto duality (“type A”
Matthew Buican +5 more
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The DOZZ formula from the path integral
Journal of High Energy Physics, 2018 We present a rigorous proof of the Dorn, Otto, Zamolodchikov, Zamolodchikov formula (the DOZZ formula) for the 3 point structure constants of Liouville Conformal Field Theory (LCFT) starting from a rigorous probabilistic construction of the functional ...
Antti Kupiainen +2 more
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Covariant Holographic Renormalization of Non-Conformal Field Theories [PDF]
, 2010 We present a Covariant Holographic Renormalization (CHR) procedure of fake supergravity (sugra) systems. Holography is a strong/weak coupling duality between gravitational and gauge theories, and fake sugra is a theory of gravity coupled to scalars in ...
Van Eijk, Ernestus Petrus
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Space-time CFTs from the Riemann sphere
Journal of High Energy Physics, 2017 We consider two-dimensional chiral, first-order conformal field theories governing maps from the Riemann sphere to the projective light cone inside Minkowski space — the natural setting for describing conformal field theories in two fewer dimensions ...
Tim Adamo +2 more
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