The general M5-brane superconformal index

Abstract

We calculate and study the general superconformal index for the 6d U(N) (2,0) theory with four chemical potentials, from the indices of gauge theories on CP^2 x R. Our index agrees with the large N supergravity index on AdS_7 x S^4 at low energies, and also yields the negative 'Casimir energy' with an N^3 scaling which was recently calculated from a QFT on S^5. Our approach also suggests a systematic study of the (1,0) superconformal indices.

83 pages, no figures

References in corpus (7)

• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Supersymmetric Gauge Theories on the Five-Sphere
• Instantons on the 5-sphere and M5-branes
• 3d Chern-Simons Theory from M5-branes
• On certain aspects of string theory/gauge theory correspondence
• Complex Chern-Simons from M5-branes on the Squashed Three-Sphere

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• A slow review of the AGT correspondence
• Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
• Holography of 3d-3d correspondence at Large N
• 6d strings from new chiral gauge theories
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• Quantum vortices, M2-branes and black holes
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• General instanton counting and 5d SCFT
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• The Giant Graviton Expansion
• Finite-$N$ superconformal index via the AdS/CFT correspondence
• The geometric Langlands twist in five and six dimensions
• The Weyl Anomaly from the 6D Superconformal Index
• Holography, Supergravity, and the Weak Gravity Conjecture