Duality symmetry of script N = 4 Yang-Mills theory on T3

Feike Hacquebord; Herman Verlinde

doi:10.1016/S0550-3213(97)00608-1

Duality symmetry of script N = 4 Yang-Mills theory on T³

Feike Hacquebord
, Herman Verlinde

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

23 Scopus citations

Abstract

We study the spectrum of BPS states in script N = 4 supersymmetric U(N) Yang-Mills theory. This theory has been proposed to describe M-theory on T³ in the discrete light-cone formalism. We find that the degeneracy of irreducible BPS bound states in this model exhibits a (partially hidden) SL(5,ℤ) duality symmetry. Besides the electro-magnetic symmetry, this duality group also contains Nahm-like transformations that interchange the rank N of the gauge group with some of the magnetic or electric fluxes. In the M-theory interpretation, this mapping amounts to a reflection that interchanges the longitudinal direction with one of the transverse directions.

Original language	English (US)
Pages (from-to)	609-622
Number of pages	14
Journal	Nuclear Physics B
Volume	508
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(97)00608-1
State	Published - Dec 29 1997
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

BPS spectrum
Matrix theory
Supersymmetric Yang-Mills theory

Access to Document

10.1016/S0550-3213(97)00608-1

Cite this

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title = "Duality symmetry of script N = 4 Yang-Mills theory on T3",

abstract = "We study the spectrum of BPS states in script N = 4 supersymmetric U(N) Yang-Mills theory. This theory has been proposed to describe M-theory on T3 in the discrete light-cone formalism. We find that the degeneracy of irreducible BPS bound states in this model exhibits a (partially hidden) SL(5,ℤ) duality symmetry. Besides the electro-magnetic symmetry, this duality group also contains Nahm-like transformations that interchange the rank N of the gauge group with some of the magnetic or electric fluxes. In the M-theory interpretation, this mapping amounts to a reflection that interchanges the longitudinal direction with one of the transverse directions.",

keywords = "BPS spectrum, Matrix theory, Supersymmetric Yang-Mills theory",

author = "Feike Hacquebord and Herman Verlinde",

note = "Funding Information: The initial stageso f this work were done in collaboratiown ith RobbertD ijkgraaf, ChristiaanH ofmana ndErik VerlindeW. e furthera cknowledgvea luabled iscussionws ith R. Dijkgraaf,C . Hofman,J -S. Park, S. RamgoolamW, . Taylor and E. Verlinde.T his researchis partlys upportebdy a PionierF ellowshipo f NWO, a Fellowshipo f the Royal Dutch Academyo f Sciences( K.N.A.W.), the PackardF oundationan d the A.P. Sloan Foundation.",

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T1 - Duality symmetry of script N = 4 Yang-Mills theory on T3

AU - Hacquebord, Feike

AU - Verlinde, Herman

N1 - Funding Information: The initial stageso f this work were done in collaboratiown ith RobbertD ijkgraaf, ChristiaanH ofmana ndErik VerlindeW. e furthera cknowledgvea luabled iscussionws ith R. Dijkgraaf,C . Hofman,J -S. Park, S. RamgoolamW, . Taylor and E. Verlinde.T his researchis partlys upportebdy a PionierF ellowshipo f NWO, a Fellowshipo f the Royal Dutch Academyo f Sciences( K.N.A.W.), the PackardF oundationan d the A.P. Sloan Foundation.

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N2 - We study the spectrum of BPS states in script N = 4 supersymmetric U(N) Yang-Mills theory. This theory has been proposed to describe M-theory on T3 in the discrete light-cone formalism. We find that the degeneracy of irreducible BPS bound states in this model exhibits a (partially hidden) SL(5,ℤ) duality symmetry. Besides the electro-magnetic symmetry, this duality group also contains Nahm-like transformations that interchange the rank N of the gauge group with some of the magnetic or electric fluxes. In the M-theory interpretation, this mapping amounts to a reflection that interchanges the longitudinal direction with one of the transverse directions.

AB - We study the spectrum of BPS states in script N = 4 supersymmetric U(N) Yang-Mills theory. This theory has been proposed to describe M-theory on T3 in the discrete light-cone formalism. We find that the degeneracy of irreducible BPS bound states in this model exhibits a (partially hidden) SL(5,ℤ) duality symmetry. Besides the electro-magnetic symmetry, this duality group also contains Nahm-like transformations that interchange the rank N of the gauge group with some of the magnetic or electric fluxes. In the M-theory interpretation, this mapping amounts to a reflection that interchanges the longitudinal direction with one of the transverse directions.

KW - BPS spectrum

KW - Matrix theory

KW - Supersymmetric Yang-Mills theory

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