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Showing 1 to 11 of 11 for “"Virasoro"”.
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Boundary conditions, effective action, and Virasoro algebra for AdS₃
… transformations, we derive the well known Virasoro algebra and central charge associated with the boundary of AdS3. Our Virasoro generating transformations are asymptotic symmetries of appropriately defined new asymptotically AdS3 spaces which are relaxed compared to the standard …
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A Study of Equivalence of SUSY Theories using Adinkras and Super Virasoro Algebras
… By using two methods, Adinkras and Super Virasoro algebras (SVAs), more information is gained about SUSY theories: (a.) when two representation may be considered equivalent, that is, describing the same physics, and (b.) the derivation of OPE's that do not rely on Wick rotations. Adinkras …
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Advancing integrability for strings in AdS3/CFT2
… closed strings the implementation of the string Virasoro constraints needs to be modified for geometries with multiple factors where massless modes are present. We show further that with the correct implementation of the Virasoro constraints, massless modes can be included in integrability …
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Vertex algebras generated by primary fields of low conformal weight
… of vertex algebras, finitely generated by a Virasoro field and even (resp. odd) primary fields of conformal weight 1 (resp 3/2). This is the first interesting case to consider when looking at finitely generated vertex algebras containing a Virasoro field (the most interesting from the point …
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Large Gauge Transformations and Black Hole Entropy
… in the context of black holes. The emergence of Virasoro algebras as the asymptotic symmetry algebras of black hole spacetimes suggests a fundamental link to conformal field theory. For the case of the generic Kerr black hole, we hypothesize that the black hole is itself a thermal conformal field …
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Fusion of Perturbed Defects in Conformal Field Theory
… algebra of a conformal field theory (CFT), the Virasoro algebra, is generated by the holomorphic and anti-holomorphic part of the stress tensor. Besides such 'chiral symmetries' the CFT also has an integrable symmetry, that is, infinite families of commuting conserved charges. In this thesis a …
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Graded-commutative nonassociative algebras: higher octonions and Krichever-Novikov superalgebras; their structures, combinatorics and non-trivial cocycles.
… algebra and its central extension called the Virasoro algebra. The K-N Lie (super)algebras for more than two marked points were studied by Schlichenmaier. In particular, he extended the explicit formula of $2$-cocycles due to Krichever and Novikov to multiple-point situation. We give an …
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Studies in Statistical Mechanics and Supersymmetric Lattice Models
… of the measure, motivated by the theory of Virasoro coadjoint orbits. We also provide motivation for the physical origins of the Schwarzian field theory and offer background on the theory of coadjoint orbits. Furthermore, we consider the graphical representations of the Ising model, …
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On Gaussian multiplicative chaos and conformal field theory
… i.e. a unitary representation of the Virasoro algebra. Since it is an infinite dimensional Lie algebra, this is a huge constraint to put on a system and this led Belavin, Polyakov & Zamolodchikov to give an axiomatic framework for CFT based on the representation theory of the Virasoro …
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AdS3 Holography from the Worldsheet
… worldsheet symmetry algebra, beyond the usual Virasoro constraints, which leads to a precise agreement with the hybrid formalism of Berkovits, Vafa and Witten at level $k=1$. Along the way, we discuss several other interesting aspects of $AdS_3/CFT_2$, including a proposal for how …
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An Exploration of AdS3 Gravity as a Holographic Theory
The holographic principle is a supposed property of quantum gravity which states that the description of a volume of space can be encoded on a lower-dimensional boundary to the region. One such example is that of the Bekenstein-Hawking entropy of a black hole, which states the remarkable fact that …