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

Nikolić, Biljana; Sazdović, B.

doi:10.1016/j.nuclphysb.2010.04.013

Cited by 15 publications

(37 citation statements)

References 19 publications

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“…This kind of symmetry can be generalized to the arbitrary toroidal compactification [6], and extended to the non-flat conformal backgrounds [7,8]. In the case of the open string, there exists a relation between the T -dual background fields and the coordinate non-commutativity parameters [9], as well as the relation between fermionic T -dual fields and the momenta noncommutativity parameters [10].…”

Section: Introductionmentioning

confidence: 99%

$$T$$ T -duality in a weakly curved background

Davidović

Sazdović

2014

Eur. Phys. J. C

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We consider the closed string propagating in a weakly curved background which consists of a constant metric and a Kalb-Ramond field with an infinitesimally small coordinate-dependent part. We propose a procedure for constructing the T -dual theory, performing T -duality transformations along the coordinates on which the Kalb-Ramond field depends. The theory obtained is defined in the nongeometric double space, described by the Lagrange multiplier y μ and its T -dual in the flat spaceỹ μ . We apply the proposed T -duality procedure to the T -dual theory and obtain the initial one. We discuss the standard relations between the T -dual theories that imply that the equations of motion and momentum modes of one theory are the Bianchi identities and the winding modes of the other.

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Section: Introductionmentioning

confidence: 99%

$$T$$ T -duality in a weakly curved background

Davidović

Sazdović

2014

Eur. Phys. J. C

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“…The T-dual background fields have the same form as in the flat background [1,5,25] but in the present case fields B μν ,G…”

Section: The T-dual Actionmentioning

confidence: 91%

T-duality diagram for a weakly curved background

2015

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In one of our previous papers we generalized the Buscher T-dualization procedure. Here we will investigate the application of this procedure to the theory of a bosonic string moving in the weakly curved background. We obtain the complete T-dualization diagram, connecting the theories which are the result of the T-dualizations over all possible choices of the coordinates. We distinguish three forms of the T-dual theories: the initial theory, the theory obtained Tdualizing some of the coordinates of the initial theory and the theory obtained T-dualizing all of the initial coordinates. While the initial theory is geometric, all the other theories are non-geometric and additionally non-local. We find the T-dual coordinate transformation laws connecting these theories and show that the set of all T-dualizations forms an Abelian group.

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“…Buscher T-dualization can be applied along directions on which background fields do not depend [4][5][6][7][8][9][10]. Such a procedure was used in Refs.…”

Section: Introductionmentioning

confidence: 99%

T-dualization of type II superstring theory in double space

Nikolić

Sazdović

2017

Eur. Phys. J. C

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In this article we offer a new interpretation of the T-dualization procedure of type II superstring theory in the double space framework. We use the ghost free action of type II superstring in pure spinor formulation in approximation of constant background fields up to the quadratic terms. Tdualization along any subset of the initial coordinates, x a , is equivalent to the permutation of this subset with subset of the corresponding T-dual coordinates, y a , in double space coordinate Z M = (x μ , y μ ). Requiring that the T-dual transformation law after the exchange x a ↔ y a has the same form as the initial one, we obtain the T-dual NS-NS and NS-R background fields. The T-dual R-R field strength is determined up to one arbitrary constant under some assumptions. The compatibility between supersymmetry and T-duality produces a change of bar spinors and R-R field strength. If we dualize an odd number of dimensions x a , such a change flips type IIA/B to type II B/A. If we T-dualize the time-like direction, one imaginary unit i maps type II superstring theories to type II ones.

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

Cited by 15 publications

References 19 publications

$$T$$ T -duality in a weakly curved background

$$T$$ T -duality in a weakly curved background

T-duality diagram for a weakly curved background

T-dualization of type II superstring theory in double space

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