Anomaly polynomial of general 6d SCFTs

Abstract

We describe a method to determine the anomaly polynomials of general 6d $\mathcal{N}=(2,0)$ and $\mathcal{N}=(1,0)$ SCFTs, in terms of the anomaly matching on their tensor branches. This method is almost purely field theoretical, and can be applied to all known 6d SCFTs. We demonstrate our method in many concrete examples, including $\mathcal{N}=(2,0)$ theories of arbitrary type and the theories on M5 branes on ALE singularities, reproducing the $N^3$ behavior. We check the results against the anomaly polynomials computed M-theoretically via the anomaly inflow.

34 pages; v2: references added

References in corpus (39)

• Heterotic and Type I String Dynamics from Eleven Dimensions
• Eleven-Dimensional Supergravity on a Manifold with Boundary
• Holographic c-theorems in arbitrary dimensions
• Open P-Branes
• Comments on String Dynamics in Six Dimensions
• Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories
• Eleven Dimensional Origin of String/String Duality: A One Loop Test
• Five-Brane Effective Action In M-Theory
• Some Comments On String Dynamics
• Small $E_8$ Instantons and Tensionless Non-critical Strings
• On the Classification of 6D SCFTs and Generalized ADE Orbifolds
• Branes and Six Dimensional Supersymmetric Theories
• Non-trivial Fixed Points of The Renormalization Group in Six Dimensions
• Positivity Constraints on Anomalies in Supersymmetric Gauge Theories
• Branes at Orbifolds versus Hanany Witten in Six Dimensions
• Anomaly Cancellation in Six Dimensions
• Global aspects of the space of 6D N = 1 supergravities
• New Phases of String Theory and 6d RG Fixed Points via Branes at Orbifold Singularities
• Point-like Instantons on K3 Orbifolds
• Generalized Green-Schwarz mechanism in F theory
• Anomaly Matching and a Hopf-Wess-Zumino Term in 6d, N=(2,0) Field Theories
• On renormalization group flows and the a-theorem in 6d
• (1,0) superconformal models in six dimensions
• RG Fixed Points in Six Dimensions via Branes at Orbifold Singularities
• On the 6d origin of discrete additional data of 4d gauge theories
• Renormalizable supersymmetric gauge theory in six dimensions
• Anomaly polynomial of E-string theories
• 6d, N=(1,0) Coulomb Branch Anomaly Matching
• Global Anomalies and Geometric Engineering of Critical Theories in Six Dimensions
• Anomaly of (2,0) Theories
• Conformal properties of hypermultiplet actions in six dimensions
• A challenge to the $a$-theorem in six dimensions
• The Conformal Anomaly of M5-Branes
• Six-dimensional superconformal couplings of non-abelian tensor and hypermultiplets
• New superconformal models in six dimensions: Gauge group and representation structure
• Chiral anomalies in higher-derivative supersymmetric 6D gauge theories
• Perturbative c-theorem in d-dimensions
• The global anomaly of the self-dual field in general backgrounds
• The partition bundle of type A_{N-1} (2, 0) theory

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• Infinitely many 4d $\mathcal{N}=2$ SCFTs with $a=c$ and beyond
• Reflections on the Matter of 3d $\mathcal{N}=1$ Vacua and Local $Spin(7)$ Compactifications
• Two 6d origins of 4d SCFTs: class $\mathcal{S}$ and 6d (1,0) on a torus
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• On the torus compactifications of $Z_2$ orbifolds of E-string theories
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• Atomic Higgsings of 6D SCFTs
• Isomorphisms of 4d N=2 SCFTs from 6d
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• Supersymmetric zeta functions and determinants
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• Aspects of 4d supersymmetric dynamics and geometry
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