A note on the BPS spectrum of the matrix model

Brace, Daniel; Morariu, Bogdan

doi:10.1088/1126-6708/1999/02/004

Cited by 21 publications

(17 citation statements)

References 13 publications

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“…for integer n i . This result differs from that in [17], for which proper corrections were pointed out in [25] and [26].…”

Section: Toruscontrasting

confidence: 82%

Matrix compactification on orientifolds

1999

Phys. Rev. D

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Generalizing previous results for orbifolds, in this paper we describe the compactification of the matrix model on an orientifold which is a quotient space R d /⌫ as a Yang-Mills theory residing on a quantum space. The information of the compactification is encoded in the action of the discrete symmetry group ⌫ on Euclidean space R d and a projective representation U of ⌫. The choice of Hilbert space on which the algebra of U is realized as an operator algebra corresponds to the choice of a physical background for the compactification. All these data are summarized in the spectral triple of the quantum space. ͓S0556-2821͑99͒06512-1͔

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“…for integer n i . This result differs from that in [17], for which proper corrections were pointed out in [25] and [26].…”

Section: Toruscontrasting

confidence: 82%

Matrix compactification on orientifolds

1999

Phys. Rev. D

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“…We check in this paper that BPS spectra of YM theories on Morita equivalent tori coincide. This coincidence was conjectured at first in [1] and analyzed later in a number of papers ( [7], [11], [12], [10]). The paper [12] contains an important observation that quantum fluctuations of BPS fields were not taken into account in [10, v1] and that the proper treatment of fluctuations could essentially change the answer.…”

Section: Introductionmentioning

confidence: 81%

“…Note that to compare this expression with the analogous formulas from [7], [10] one should use the relation between the Yang-Mills and the M-theory coupling constants:…”

Section: Energy Of Bps Statesmentioning

confidence: 99%

1/4-BPS states on noncommutative tori

Konechny

Schwarz

1999

J. High Energy Phys.

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“…One then has (Connes et al, 1998;Brace and Morariu, 1999;Hofman and Verlinde, 1999;Konechny and Schwarz, 1999) …”

Section: F Canonical Formulationmentioning

confidence: 99%

Noncommutative field theory

Douglas¹,

Nekrasov²

2001

Rev. Mod. Phys.

2,034

2,552

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We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states. In the last few years they have been studied intensively, and many qualitatively new phenomena have been discovered, both on the classical and quantum level. Submitted to Reviews of Modern Physics.

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A note on the BPS spectrum of the matrix model

Abstract: We calculate, using noncommutative supersymmetric Yang-Mills gauge theory, the part of the spectrum of the toroidally compactified Matrix theory which corresponds to quantized electric fluxes on two and three tori.

Cited by 21 publications

References 13 publications

Matrix compactification on orientifolds

Matrix compactification on orientifolds

1/4-BPS states on noncommutative tori

Noncommutative field theory

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