Results 41 to 50 of about 1,005,211 (317)
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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On Galilean conformal bootstrap
Journal of High Energy Physics, 2021 In this work, we develop conformal bootstrap for Galilean conformal field theory (GCFT). In a GCFT, the Hilbert space could be decomposed into quasiprimary states and its global descendants.
Bin Chen +3 more
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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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Four-dimensional conformal field theory using quaternions [PDF]
Adv. Appl. Clifford Algebras (2017) 27: 2457, 2015 We build a four-dimensional quaternion-parametrized conformal field theory (QCFT) using quaternion holomorphic functions as the generators of quaternionic conformal transformations. Taking the two-dimensional complex-parametrized conformal field theory (CCFT) as our model, we study the stress tensor, the conserved charge, the symmetry generators, the ...
arxiv +1 more source
ALE MANIFOLDS AND CONFORMAL FIELD THEORIES [PDF]
International Journal of Modern Physics A, 1994 We address the problem of constructing the family of (4,4) theories associated with the σ model on a parametrized family ℳζ of asymptotically locally Euclidean (ALE) manifolds. We rely on the ADE classification of these manifolds and on their construction as hyper-Kähler quotients, due to Kronheimer.
ANSELMI D. +4 more
openaire +5 more sources
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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Probabilistic construction of Toda conformal field theories [PDF]
arXiv, 2021 Following the 1984 seminal work of Belavin, Polyakov and Zamolodchikov on two-dimensional conformal field theories, Toda conformal field theories were introduced in the physics literature as a family of two-dimensional conformal field theories that enjoy, in addition to conformal symmetry, an extended level of symmetry usually referred to as W-symmetry
arxiv
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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Stress-Energy in Liouville Conformal Field Theory on Compact Riemann Surfaces [PDF]
arXiv, 2021 We derive the conformal Ward identities for the correlation functions of the Stress--Energy tensor in probabilistic Liouville Conformal Field Theory on compact Riemann surfaces by varying the correlation functions with respect to the background metric. The conformal Ward identities show that the correlation functions of the Stress--Energy tensor can be
arxiv
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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