Note on a fermionic solution of the matrix model and noncommutative superspace

Shibusa, Yuuichirou; Tada, Tsukasa

doi:10.1016/j.physletb.2003.10.110

Cited by 12 publications

(10 citation statements)

References 39 publications

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“…If we consider string theories in the R-R field strength or graviphoton background, coordinates of superspace become non(anti)commutative [3,4,5]. Various aspects of noncommutative superspace have been studied in [6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22]. Some studies from the viewpoint of supermatrix models are found in [23,24,25].…”

Section: Introductionmentioning

confidence: 99%

Fuzzy supersphere and supermonopole

Hasebe

Kimura

2005

Nuclear Physics B

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It is well-known that coordinates of a charged particle in a monopole background become noncommutative. In this paper, we study the motion of a charged particle moving on a supersphere in the presence of a supermonopole. We construct a supermonopole by using a supersymmetric extension of the first Hopf map. We investigate algebras of angular momentum operators and supersymmetry generators. It is shown that coordinates of the particle are described by fuzzy supersphere in the lowest Landau level. We find that there exist two kinds of degenerate wavefunctions due to the supersymmetry. Ground state wavefunctions are given by the Hopf spinor and we discuss their several properties.

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Section: Introductionmentioning

confidence: 99%

Fuzzy supersphere and supermonopole

Hasebe

Kimura

2005

Nuclear Physics B

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“…In such cases, the equations for the field (dα +dα) satisfied by the boundary state for a Dp-brane are different from those for D-instantons. In order to modify such boundary conditions, we should add (qα −qα) in (16). These operators are not free fields and do not commute with y m and so on.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

D3-Brane from D-Instantons in the Hybrid Formalism of Superstring

Amemiya¹,

Araki²,

Katagiri³

2004

Progress of Theoretical Physics

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A Dp-brane can be regarded as a configuration of infinitely many D(p −2k)-branes in bosonic string. We will show this property of D-branes in the superstring case using the hybrid formalism. It is convenient to study the boundary state for such D-branes to study such property between D-branes. We show that the boundary state for a D3-brane in a constant self-dual gauge field background can be expressed in terms of the boundary state for D-instantons in the hybrid formalism. * )

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“…This model has a classical solutionÂ α =π α corresponding to a derivative operator on a non-commutative superspace. * )11)- 16) Considering fluctuations ofÂ α expanded about this solution, we can obtain the action of a reduced model on the non-commutative superspace, (1 . 4) where ⋆ indicates that the product of this action is the ⋆-product, which we define in subsequent section.…”

Section: §1 Introductionmentioning

confidence: 99%

Super Yang-Mills Theory from a Supermatrix Model

Morita

2006

Progress of Theoretical Physics

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It is known that Yang-Mills theories on non-commutative space can be derived from large-N reduced models. Gauge fields in non-commutative Yang-Mills theories can be described as fluctuations of matrices expanded about an appropriate classical solution of the reduced models. We investigate a generalization of this procedure in superfield formalism. We show that we can construct a supermatrix model such that D=4 $\N=1$ super Yang-Mills theory can be derived from it. In addition, we can couple matter supermatrices to this supermatrix model and also construct models corresponding to $\N=2$ and $\N=4$ super Yang-Mills theories. In these investigations, we need to introduce a new non-anti-commutative superspace, and we investigate the definition of field theories on this space.Comment: 24 pages, published versio

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Note on a fermionic solution of the matrix model and noncommutative superspace

Abstract: We present a new fermionic solution of the supersymmetric matrix model. The solution satisfies the commutation and anticommutation relations for noncommutative superspace. Therefore the solution can be considered as an implementation of noncommutative superspace on the matrix model.

Cited by 12 publications

References 39 publications

Fuzzy supersphere and supermonopole

Fuzzy supersphere and supermonopole

D3-Brane from D-Instantons in the Hybrid Formalism of Superstring

Super Yang-Mills Theory from a Supermatrix Model

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