Results 61 to 70 of about 1,864,921 (351)
On the positive geometry of conformal field theory [PDF]
Journal of High Energy Physics, 2018 It has long been clear that the conformal bootstrap is associated with a rich geometry. In this paper we undertake a systematic exploration of this geometric structure as an object of study in its own right. We study conformal blocks for the minimal SL(2,
N. Arkani-Hamed +2 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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Universal spinning Casimir equations and their solutions
Journal of High Energy Physics, 2023 Conformal blocks are a central analytic tool for higher dimensional conformal field theory. We employ Harish-Chandra’s radial component map to construct universal Casimir differential equations for spinning conformal blocks in any dimension d of ...
Ilija Burić, Volker Schomerus
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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
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
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 Fyodorov–Bouchaud formula and Liouville conformal field theory [PDF]
Duke mathematical journal, 2017 In a remarkable paper in 2008, Fyodorov and Bouchaud conjectured an exact formula for the density of the total mass of (sub-critical) Gaussian multiplicative chaos (GMC) associated to the Gaussian free field (GFF) on the unit circle.
G. Remy
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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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Anyonic Chains, Topological Defects, and Conformal Field Theory [PDF]
Communications in Mathematical Physics, 2017 Motivated by the three-dimensional topological field theory/two-dimensional conformal field theory (CFT) correspondence, we study a broad class of one-dimensional quantum mechanical models, known as anyonic chains, which can give rise to an enormously ...
M. Buican, A. Gromov
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