Dilaton field induces a commutative Dp-brane coordinate

We consider type IIB superstring theory with embedded D5-brane and choose boundary conditions which preserve half of the initial supersymmetry. In the canonical approach that we use, boundary conditions are treated as canonical constraints. The effective theory, obtained from the initial one on the solution of boundary conditions, has the form of the type I superstring theory with embedded D5-brane. We obtain the expressions for D5-brane background fields of type I theory in terms of the D5-brane background fields of type IIB theory. We show that beside known Ω even fields, they contain squares of Ω odd ones, where Ω is world-sheet parity transformation, Ω : σ → −σ. We relate result of this paper and the results of [1] using T-dualities along four directions orthogonal to D5-brane.

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“…That set of constraints is solved by 2π periodicity of all canonical variables as well as in Refs. [11,12].…”

Section: Consistency Of Fermionic Constraintsmentioning

confidence: 99%

D5-brane type I superstring background fields in terms of type IIB ones by canonical method and T-duality approach

Nikolić

Sazdović

2010

Nuclear Physics B

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“…[2], the Dirichlet boundary conditions were constructed, while in refs. [3,4], the noncommutativity structure was analyzed. Ref.…”

Section: Introductionmentioning

confidence: 99%

Gauge symmetries decrease the number ofDp-brane dimensions. II. Inclusion of the Liouville term

Nikolić

Sazdović

2007

Phys. Rev. D

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It is known that the presence of antisymmetric background field B µν leads to noncommutativity of Dp-brane manifold. Addition of the linear dilaton field in the form Φ(x) = Φ 0 + a µ x µ , causes the appearance of the commutative Dp-brane coordinate x = a µ x µ . In the present article we show that for some particular choices of the background fields,µν a µ a ν = 0, the local gauge symmetries appear in the theory. They turn some Neuman boundary conditions into the Dirichlet ones, and consequently decrease the number of the Dp-brane dimensions.

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“…With the help of the relation (3.16) using Taylor expansion 6) we rewrite these infinite sets of consistency conditions at σ = 0 in compact, σ dependent form…”

Section: Boundary Conditions and Fermionic T-dualitymentioning

confidence: 99%

“…Because the action has the same form as in bosonic case we define the currents analogous with those of Ref. [6] but now in the extended space. It turns out that components of these currents are equal to the currents obtained by light-cone canonical analysis.…”

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confidence: 99%

Dirichlet boundary conditions in type IIB superstring theory and fermionic T-duality

Nikolić

Sazdović

2012

J. High Energ. Phys.

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In this article we investigate the relation between consequences of Dirichlet boundary conditions (momenta noncommutativity and parameters of the effective theory) and background fields of fermionic T-dual theory. We impose Dirichlet boundary conditions on the endpoints of the open string propagating in background of type IIB superstring theory with constant background fields. We showed that on the solution of the boundary conditions the momenta become noncommutative, while the coordinates commute. Fermionic T-duality is also introduced and its relation to noncommutativity is considered. We use compact notation so that type IIB superstring formally gets the form of the bosonic one with Grassman variables. Then momenta noncommutativity parameters are fermionic T-dual fields. The effective theory, the initial theory on the solution of boundary conditions, is bilinear in the effective coordinates, odd under world-sheet parity transformation. The effective metric is equal to the initial one and terms with the effective Kalb-Ramond field vanish.

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Dilaton field induces a commutative Dp-brane coordinate

Cited by 20 publications

References 13 publications

D5-brane type I superstring background fields in terms of type IIB ones by canonical method and T-duality approach

D5-brane type I superstring background fields in terms of type IIB ones by canonical method and T-duality approach

Gauge symmetries decrease the number ofDp-brane dimensions. II. Inclusion of the Liouville term

Dirichlet boundary conditions in type IIB superstring theory and fermionic T-duality

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