World volume noncommutativity versus target space noncommutativity

Kato, Mitsuhiro; Kuroki, Tsunehide

doi:10.1088/1126-6708/1999/03/012

Cited by 14 publications

(22 citation statements)

References 31 publications

(46 reference statements)

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“…The latter picture is widely used in constructing gauge theories on the dual torus in terms of matrix models of D0-branes, but the complete description in terms of boundary states is not clear, as opposed to the R 2 case [42]. There are some previous attempts [43,44] on this subject for a torus. Once it is known, the connection of the T-duality and the Morita equivalence becomes more transparent.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Boundary State Analysis on the Equivalence of T-Duality and Nahm Transformation in Superstring Theory

Asakawa¹,

Carow-Watamura²,

Teshima³

et al. 2012

Progress of Theoretical Physics

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We investigated the equivalence of the T-duality for a bound state of D2 and D0-branes with the Nahm transformation of the corresponding gauge theory on a 2-dimensional torus, using the boundary state analysis in superstring theory. In contrast to the case of a 4dimensional torus, it changes a sign in a topological charge, which seems puzzling when regarded as a D-brane charge. Nevertheless, it is shown that it agrees with the T-duality of the boundary state, including a minus sign. We reformulated boundary states in the RRsector using a new representation of zeromodes, and show that the RR-coupling is invariant under the T-duality. Finally, the T-duality invariance at the level of the Chern-Simon coupling is shown by deriving the Buscher rule for the RR potentials, known as the 'Hori formula', including the correct sign. 1

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Section: Conclusion and Discussionmentioning

confidence: 99%

Boundary State Analysis on the Equivalence of T-Duality and Nahm Transformation in Superstring Theory

Asakawa¹,

Carow-Watamura²,

Teshima³

et al. 2012

Progress of Theoretical Physics

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“…where the BRST charge Q is constructed from the world sheet action (3.1). The theory (5.1) gives the noncommutative U(1) Yang-Mills theory in the low energy region in the same sense as Witten's open string field theory in the case of the Neumann boundary condition leads to the ordinary U(1) Yang-Mills theory in the low energy limit 9 . In ref.…”

Section: Transformation Of String Fieldsmentioning

confidence: 95%

Witten's open string field theory in constant B-field background

Sugino¹

2000

J. High Energy Phys.

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In this paper we consider Witten's bosonic open string field theory in the presence of a constant background of the second-rank antisymmetric tensor field B ij . We extend the operator formulation of Gross and Jevicki in this situation and construct the overlap vertices explicitly. As a result we find a noncommutative structure of the Moyal type only in the zero-mode sector, which is consistent with the result of the correlation functions among vertex operators in the world sheet formulation. Furthermore we find out a certain unitary transformation of the string field which absorbs the Moyal type noncommutative structure. It can be regarded as a microscopic origin of the transformation between the gauge fields in commutative and noncommutative gauge theories discussed by Seiberg and Witten.

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“…Thus it is likely that the existence of components of B ′ ij along compact directions which cannot be gauged away is essential to define the momentum noncommutativity in a well-defined manner. § Although in [5] the configuration is compactified on T 2 as mentioned in the above footnote, a similar argument also works in this case.…”

Section: )mentioning

confidence: 60%

“…As shown in [5,21], as a background of string, our configuration of D-instantons is equivalent to a D-string in the background g ij , B ij , F ij given by §…”

Section: Interrelation Between Noncommutativitiesmentioning

confidence: 99%

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Noncommutativities of D-branes and θ-changing degrees of freedom in D-brane matrix models

Kuroki

2000

Physics Letters B

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It is known that when there are several D-branes, their space-time coordinates in general become noncommutative. From the point of view of noncommutative geometry, it reflects noncommutativity of the world volume of the D-branes. On the other hand, as we showed in the previous work, in the presence of the constant antisymmetric tensor field the momentum operators of the D-branes have noncommutative structure. In the present paper, we investigate a relation between these noncommutativities and the description of D-branes in terms of the noncommutative Yang-Mills theory recently proposed by Seiberg and Witten. It is shown that the noncommutativity of the Yang-Mills theory, which implies that of the world volume coordinates, originates from both noncommutativities of the transverse coordinates and momenta from the viewpoint of the lower-dimensional D-branes. Moreover, we show that this noncommutativity is transformed by coordinate transformations on the world volume and thereby can be chosen in an arbitrary fixed value. We also make a brief comment on a relation between this fact and a hidden symmetry of the IIB matrix models. * e-mail address: kuroki@tanashi.kek.jp † Accordingly Matrix theory or a low energy effective field theory of D-branes on a torus in the constant antisymmetric field background is described by a gauge theory on a noncommutative torus [6,7]. * * For example, in [5] such a boundary state is concretely constructed.

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World volume noncommutativity versus target space noncommutativity

Cited by 14 publications

References 31 publications

Boundary State Analysis on the Equivalence of T-Duality and Nahm Transformation in Superstring Theory

Boundary State Analysis on the Equivalence of T-Duality and Nahm Transformation in Superstring Theory

Witten's open string field theory in constant B-field background

Noncommutativities of D-branes and θ-changing degrees of freedom in D-brane matrix models

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