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Finite N index and angular momentum bound from gravity

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Abstract

We exactly compute the finite N index and BPS partition functions for \({\mathcal{N}}=4\) SYM theory in a newly proposed maximal angular momentum limit. The new limit is not predicted from the superconformal algebra, but naturally arises from the supergravity dual. We show that the index does not receive any finite N corrections while the free BPS partition function does.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo, 113-0033, Japan

    Yu Nakayama

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  1. Yu Nakayama
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Correspondence to Yu Nakayama.

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Nakayama, Y. Finite N index and angular momentum bound from gravity. Gen Relativ Gravit 39, 1625–1638 (2007). https://doi.org/10.1007/s10714-007-0480-9

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  • DOI: https://doi.org/10.1007/s10714-007-0480-9

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