Dualities of the matrix model from T-duality of the Type II string

Brace, Daniel; Morariu, Bogdan; Zumino, Bruno

doi:10.1016/s0550-3213(99)00009-7

Cited by 62 publications

(139 citation statements)

References 35 publications

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“…The aim of this subsection is to give a brief review of the democratic formulation of the bosonic sector of (massless) Type IIA and Type IIB supergravity theories [48,49] (also see [50,51]). The (bosonic) matter content of these two theories are as follows:…”

Section: Democratic Formulationmentioning

confidence: 99%

Duality twisted reductions of Double Field Theory of Type II strings

Özer

2017

J. High Energ. Phys.

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We study duality twisted reductions of the Double Field Theory (DFT) of the RR sector of massless Type II theory, with twists belonging to the duality group Spin + (10, 10). We determine the action and the gauge algebra of the resulting theory and determine the conditions for consistency. In doing this, we work with the DFT action constructed by Hohm, Kwak and Zwiebach, which we rewrite in terms of the Mukai pairing: a natural bilinear form on the space of spinors, which is manifestly Spin(n, n) invariant. If the duality twist is introduced via the Spin + (10, 10) element S in the RR sector, then the NS-NS sector should also be deformed via the duality twist U = ρ(S), where ρ is the double covering homomorphism between P in(n, n) and O(n, n). We show that the set of conditions required for the consistency of the reduction of the NS-NS sector are also crucial for the consistency of the reduction of the RR sector, owing to the fact that the Lie algebras of Spin(n, n) and SO(n, n) are isomorphic. In addition, requirement of gauge invariance imposes an extra constraint on the fluxes that determine the deformations.

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Section: Democratic Formulationmentioning

confidence: 99%

Duality twisted reductions of Double Field Theory of Type II strings

Özer

2017

J. High Energ. Phys.

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“…Throughout this paper we will use the same notation as in [10] where it was shown explicitly that the action of a U(n) NCSYM, with magnetic fluxes M ij , can be written as the action of a U(q) NCSYM on a trivial quantum bundle, where q is the greatest common divisor of n and M ij . Thus these two theories must have identical spectra.…”

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confidence: 99%

“…As in [3,11] the action contains magnetic backgrounds which we chose as in [10], so that the vacuum energy vanishes. In general two NCSYM theories are dual to each other if there exists an element Λ of the duality group SO(d, d |Z) with the block decomposition…”

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A note on the BPS spectrum of the matrix model

Brace

Morariu

1999

J. High Energy Phys.

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“…Indeed, substituting the solution back to the original matrix model action, one obtains a non-commutative supersymmetric YangMills theory on this dual torus [24].…”

Section: Compactification On Torimentioning

confidence: 99%

Matrix theory origins of non-geometric fluxes

Chatzistavrakidis

Jonke

2013

J. High Energ. Phys.

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We explore the origins of non-geometric fluxes within the context of M theory described as a matrix model. Building upon compactifications of Matrix theory on non-commutative tori and twisted tori, we formulate the conditions which describe compactifications with non-geometric fluxes. These turn out to be related to certain deformations of tori with non-commutative and nonassociative structures on their phase space. Quantization of flux appears as a natural consequence of the framework and leads to the resolution of nonassociativity at the level of the unitary operators. The quantum-mechanical nature of the model bestows an important role on the phase space. In particular, the geometric and non-geometric fluxes exchange their properties when going from position space to momentum space thus providing a duality among the two. Moreover, the operations which connect solutions with different fluxes are described and their relation to T-duality is discussed. Finally, we provide some insights on the effective gauge theories obtained from these matrix compactifications.

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Dualities of the matrix model from T-duality of the Type II string

Cited by 62 publications

References 35 publications

Duality twisted reductions of Double Field Theory of Type II strings

Duality twisted reductions of Double Field Theory of Type II strings

A note on the BPS spectrum of the matrix model

Matrix theory origins of non-geometric fluxes

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