27/32

Abstract

We show that when an N=2 SCFT flows to an N=1 SCFT via giving a mass to the adjoint chiral superfield in a vector multiplet with marginal coupling, the central charges a and c of the N=2 theory are related to those of the N=1 theory by a universal linear transformation. In the large N limit, this relationship implies that the central charges obey a_IR/a_UV=c_IR/c_UV=27/32. This gives a physical explanation to many examples of this number found in the literature, and also suggests the existence of a flow between some theories not previously thought to be connected.

3 pages. v2: references added, minor typos corrected

References in corpus (19)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The Holographic Weyl anomaly
• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Supergravity description of field theories on curved manifolds and a no go theorem
• Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
• The Exact Superconformal R-Symmetry Maximizes a
• Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories
• S-duality in N=2 supersymmetric gauge theories
• Einstein manifolds and conformal field theories
• New Vacua of Gauged N=8 Supergravity
• Central charges of N=2 superconformal field theories in four dimensions
• Correlation Functions of Conserved Currents in N = 2 Superconformal Theory
• Generalized Conifolds and 4d N=1 SCFT
• New N=1 Superconformal Field Theories and their Supergravity Description
• The Volume of some Non-spherical Horizons and the AdS/CFT Correspondence
• Orbifolds and Flows from Gauged Supergravity
• Holographic Duals of a Family of N=1 Fixed Points
• A counterexample to the a-'theorem'
• N=1 Field Theories and Fluxes in IIB String Theory

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• The $Ad{S}_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N}=1$ linear quiver from M5-branes
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• Holographic RG Flows for Four-dimensional $\mathcal{N}=2$ SCFTs
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• A bestiary of black holes on the conifold with fluxes
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• Nilpotent Networks and 4D RG Flows
• Confinement and duality in supersymmetric gauge theories
• New Confinement Phases from Singular SCFT
• Marginal deformations from type IIA supergravity
• $\mathcal{N}=1$ conformal dualities from unoriented chiral quivers
• Klebanov-Witten flows in M-theory
• A landscape of 4d N=1 SCFTs with a=c
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings
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