2007/02/28 by Sayantani Bhattacharyya, Shiraz Minwalla · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Central charge #Conformal field theory #Conformal map #Coulomb #Graviton #Noncommutative and Quantum Gravity Theories #Partition function (quantum field theory) #Quantization (signal processing) #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1088/1126-6708/2007/12/004
published as JHEP 0712:004,2007 · 24 pages, harvmac; v2 reference added
arxiv created 2007/10/01 · openalex publication_date 2007/12/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We propose an exact, finite N formula for the partition function over 1/4th BPS states in the conformal field theory on the world volume of N coincident M5 branes and 1/8th 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 AdS7 × S4 and AdS4 × S7. Our partition function is qualitatively similar to the analogous quantity in \cal 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.