Supersymmetric States in M5/M2 CFTs

Abstract

We propose an exact, finite $N$ formula for the partition function over $1/4^{th}$ BPS states in the conformal field theory on the world volume of $N$ coincident M5 branes and $1/8^{th}$ BPS states in the theory of $N$ coincident M2 branes. We obtain our partition function by performing the radial quantization of the Coulomb Branches of these theories, and rederive the same formula from the quantization of supersymmetric giant and dual giant gravitons in $Ad{S}_7\times S^4$ and $Ad{S}_4\times S^7$. Our partition function is qualitatively similar to the analogous quantity in $\mathcal{N}=4$ Yang Mills. It reduces to the sum over supersymmetric multi gravitons at low energies, but deviates from this supergravity formula at energies that scale like a positive power of $N$.

24 pages, harvmac; v2 reference added

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Cited by in corpus (24)

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• M5-branes from gauge theories on the 5-sphere
• W Symmetry in six dimensions
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• M2-branes on M-folds
• Comments on 1/16 BPS Quantum States and Classical Configurations
• Finite-$N$ corrections to the M-brane indices
• Toda Theory From Six Dimensions
• Alignment procedure of the LHCb Vertex Detector
• Aspects of monopole operators in N=6 Chern-Simons theory
• The BPS spectrum of monopole operators in ABJM: towards a field theory description of the giant torus
• Exact Deconstruction of the 6D (2,0) Theory
• Dual Dressed Black Holes as the end point of the Charged Superradiant instability in $\mathcal{N}=4$ Yang Mills
• Indices for 6 dimensional superconformal field theories
• The Coulomb and Higgs Branches of $\mathcal{N}=1$ Theories of Class ${\mathcal{S}}_k$
• Flavor symmetries of six-dimensional $\mathcal{N}=(1,0)$ theories from AdS/CFT correspondence
• M2-M5 giant graviton expansions
• BPS solutions in ABJM theory and Maximal Super Yang-Mills on RxS^2
• Alignment of the LHCb Vertex Locator
• Towards Deconstruction of the Type D (2,0) Theory
• Supersymmetric Electromagnetic Waves on Giants and Dual-Giants