The Conformal Anomaly of M5-Branes

Abstract

We show that the conformal anomaly for N M5-branes grows like $N^3$. The method we employ relates Coulomb branch interactions in six dimensions to interactions in four dimensions using supersymmetry. This leads to a relation between the six-dimensional conformal anomaly and the conformal anomaly of N=4 Yang-Mills. Along the way, we determine the structure of the four derivative interactions for the toroidally compactified (2,0) theory, while encountering interesting novelties in the structure of the six derivative interactions.

38 pages, LaTeX; references added

References in corpus (9)

• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• On D=5 super Yang-Mills theory and (2,0) theory
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• M-theory branes and their interactions
• Boundary Conditions for Interacting Membranes
• Aspects of Multiple Membranes
• The 3-Lie Algebra (2,0) Tensor Multiplet and Equations of Motion on Loop Space
• Wess-Zumino term in the N=4 SYM effective action revisited
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Cited by in corpus (29)

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• Cardy Formulae for SUSY Theories in d=4 and d=6
• Deformations of Superconformal Theories
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• 6d holographic anomaly match as a continuum limit
• Generalized $F$-Theorem and the $\epsilon$ Expansion
• Stress Tensors from Trace Anomalies in Conformal Field Theories
• RG flows in d dimensions, the dilaton effective action, and the a-theorem
• Non-Abelian Tensor Towers and (2,0) Superconformal Theories
• Supersymmetric Renyi Entropy and Anomalies in Six-Dimensional (1,0) Superconformal Theories
• Exact coefficients for higher dimensional operators with sixteen supersymmetries
• Highly Effective Actions
• A new 6d fixed point from holography
• Interpolating the Coulomb Phase of Little String Theory
• Evidence for a 5d F-theorem
• Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0) Theories
• Non-abelian Self-Dual String and M2-M5 Branes Intersection in Supergravity
• Non-Abelian Self-Dual String Solutions
• The Dilaton Wess-Zumino Action in 6 Dimensions from Weyl Gauging: Local Anomalies and Trace Relations
• Supersymmetry Constraints and String Theory on K3
• Cardy Limits of 6d Superconformal Theories
• Weyl Anomaly and Vacuum Magnetization Current of M5-brane in Background Flux
• Boundary String Current & Weyl Anomaly in Six-dimensional Conformal Field Theory
• Renormalization Group Flows, the $a$-Theorem and Conformal Bootstrap
• The Yang-Mills and chiral fields in six dimensions
• Abelian M5-brane on $S^6$
• Nonabelian M5-brane on $S_q^6$
• Abelian M5-brane on $S_q^6$