CONFORMAL ANOMALY IN (2,0) THEORY
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Using Ads 7 /CFT 6 correspondence we compute a subleading O(N) term in the scale anomaly of (2,0) theory describing N coincident M5 branes. The total scale anomaly extrapolated to N=1 is argued to be the same as the anomaly of a single free (2,0) tensor multiplet. This contribution is based on ref. 1,2 where details and references may be found.Keywords:
Anomaly (physics)
Conformal anomaly
Multiplet
Conformal anomaly
Central charge
Bethe ansatz
Scaling dimension
Scaling limit
Chiral Potts curve
Scale invariance
Conformal gravity
Lattice (music)
Ansatz
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A bstract We consider conformal and ’t Hooft anomalies in six-dimensional $$ \mathcal{N} $$ N = (1 , 0) superconformal field theories, focusing on those conformal anomalies that determine the two- and three-point functions of conserved flavor and SU(2) R currents, as well as stress tensors. By analyzing these correlators in superspace, we explain why the number of independent conformal anomalies is reduced in supersymmetric theories. For instance, non- supersymmetric CFTs in six dimensions have three independent conformal c -anomalies, which determine the stress-tensor two- and three-point functions, but in superconformal theories the three c -anomalies are subject to a linear constraint. We also describe anomaly multiplet relations, which express the conformal anomalies of a superconformal theory in terms of its ’t Hooft anomalies. Following earlier work on the conformal a -anomaly, we argue for these relations by considering the supersymmetric dilaton effective action on the tensor branch of such a theory. We illustrate the utility of these anomaly multiplet relations by presenting exact results for conformal anomalies, and hence current and stress-tensor correlators, in several interacting examples.
Multiplet
Conformal anomaly
Anomaly (physics)
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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 or higher-spin symmetry. More precisely Toda conformal field theories provide a natural way to associate to a finite-dimensional simple and complex Lie algebra a conformal field theory for which the algebra of symmetry contains the Virasoro algebra. In this document we use the path integral formulation of these models to provide a rigorous mathematical construction of Toda conformal field theories based on probability theory. By doing so we recover expected properties of the theory such as the Weyl anomaly formula with respect to the change of background metric by a conformal factor and the existence of Seiberg bounds for the correlation functions.
Conformal anomaly
Virasoro algebra
Operator product expansion
Conformal geometry
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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 or higher-spin symmetry. More precisely Toda conformal field theories provide a natural way to associate to a finite-dimensional simple and complex Lie algebra a conformal field theory for which the algebra of symmetry contains the Virasoro algebra. In this document we use the path integral formulation of these models to provide a rigorous mathematical construction of Toda conformal field theories based on probability theory. By doing so we recover expected properties of the theory such as the Weyl anomaly formula with respect to the change of background metric by a conformal factor and the existence of Seiberg bounds for the correlation functions.
Conformal anomaly
Virasoro algebra
Operator product expansion
Conformal geometry
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The conformal anomaly for an interacting field theory in curved space-time is derived in a simple manner using the renormalisation group.
Conformal anomaly
Anomaly (physics)
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The author investigates the effect of the surface term of the linearly divergent diagrams on the supercurrent anomaly. It is found that such a term can not be used to shift the anomaly in the conformal part only. As a consequence the multiplet structure of currents seems to be violated.
Multiplet
Anomaly (physics)
Conformal anomaly
Supercurrent
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Conformal field theory, describing systems with scaling symmetry, plays a crucial role throughout physics. We describe a quantum algorithm to simulate the dynamics of conformal field theories, including the action of local conformal transformations. A full analysis of the approximation errors suggests near-term applicability of our algorithm: promising results for conformal field theories with central charge c=1/2 are obtained already with 128 logical qubits.
Conformal anomaly
Central charge
Weyl transformation
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Conformal anomaly
Anti-de Sitter space
Anomaly (physics)
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Conformal field theory, describing systems with scaling symmetry, plays a crucial role throughout physics. We describe a quantum algorithm to simulate the dynamics of conformal field theories, including the action of local conformal transformations. A full analysis of the approximation errors suggests near-term applicability of our algorithm: promising results for conformal field theories with central charge c=1/2 are obtained already with 128 logical qubits.
Conformal anomaly
Central charge
Weyl transformation
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Citations (2)