BPS quantization of the five-brane

Robbert Dijkgraaf; Erik Verlinde; Herman Verlinde

doi:10.1016/S0550-3213(96)00639-6

BPS quantization of the five-brane

Robbert Dijkgraaf, Erik Verlinde, Herman Verlinde

Physics

Research output: Contribution to journal › Article › peer-review

90 Scopus citations

Abstract

We give a unified description of all BPS states of M-theory compactified on T⁵ in terms of the five-brane. We compute the mass spectrum and degeneracies and find that the SO(5,5,ℤ) U-duality symmetry naturally arises as a T-duality by assuming that the world-volume theory of the five-brane itself is described by a string theory. We also consider the compactification on S¹/ℤ₂ × T₄, and give a new explanation for its correspondence with heterotic string theory by exhibiting its dual equivalence to M-theory on K3 × S₁.

Original language	English (US)
Pages (from-to)	89-113
Number of pages	25
Journal	Nuclear Physics B
Volume	486
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(96)00639-6
State	Published - Feb 17 1997

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

BPS states
Black holes
Duality
Entropy
Five-brane
M-theory
String theory

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10.1016/S0550-3213(96)00639-6

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AU - Dijkgraaf, Robbert

AU - Verlinde, Erik

AU - Verlinde, Herman

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AB - We give a unified description of all BPS states of M-theory compactified on T5 in terms of the five-brane. We compute the mass spectrum and degeneracies and find that the SO(5,5,ℤ) U-duality symmetry naturally arises as a T-duality by assuming that the world-volume theory of the five-brane itself is described by a string theory. We also consider the compactification on S1/ℤ2 × T4, and give a new explanation for its correspondence with heterotic string theory by exhibiting its dual equivalence to M-theory on K3 × S1.

KW - BPS states

KW - Black holes

KW - Duality

KW - Entropy

KW - Five-brane

KW - M-theory

KW - String theory

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BPS quantization of the five-brane

Abstract

All Science Journal Classification (ASJC) codes

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