Noncommutativity in interpolating string: A study of gauge symmetries in a noncommutative framework

Gangopadhyay, Sunandan; Hazra, Arindam Ghosh; Saha, A.

doi:10.1103/physrevd.74.125023

Cited by 11 publications

(21 citation statements)

References 17 publications

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“…However, it is expected that this theory should have one independent gauge symmetry corresponding to the invariance of the model in the reparametrization of its trajectory in space-time. Also there should exist an exact mapping between the two sets of parameters, as has been demonstrated in other contexts [43,44,45,16].…”

Section: Resultsmentioning

confidence: 96%

Gauge symmetry and W-algebra in higher derivative systems

Banerjee

Mukherjee

Paul

2011

J. High Energ. Phys.

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The problem of gauge symmetry in higher derivative Lagrangian systems is discussed from a Hamiltonian point of view. The number of independent gauge parameters is shown to be in general {\it{less}} than the number of independent primary first class constraints, thereby distinguishing it from conventional first order systems. Different models have been considered as illustrative examples. In particular we show a direct connection between the gauge symmetry and the W-algebra for the rigid relativistic particle.Comment: 1+22 pages, 1 figure, LaTeX, v2; title changed, considerably expanded version with new results, to appear in JHE

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Section: Resultsmentioning

confidence: 96%

Gauge symmetry and W-algebra in higher derivative systems

Banerjee

Mukherjee

Paul

2011

J. High Energ. Phys.

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“…Note that the fields ψ's with double prime and triple prime arguements in (15) are not located at the boundary.…”

Section: New Normal Ordering For Fermionic String Coordinatesmentioning

confidence: 99%

“…Furthermore, this illustrates the fact that the string BC(s) may play a crucial role in the phenomenology of four-dimensional physics. Various methods have been applied to obtain this result [5,9,10,11,12,13,14,15]. One of the most conventional methods to derive this noncommutativity is to use Dirac'procedure [16]treat the mixed BC(s) as primary constraints [17].…”

Section: Introductionmentioning

confidence: 99%

Normal ordering and non(anti)commutativity in open super strings

Gangopadhyay

Hazra²

2007

Phys. Rev. D

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Nonanticommutativity in an open super string moving in the presence of a background antisymmetric tensor field B µν is investigated in a conformal field theoretic approach, leading to nonanticommutative structures. In contrast to several discussions, in which boundary conditions are taken as Dirac constraints, we first obtain the mode algebra by using the newly proposed normal ordering, which satisfies both equations of motion and boundary conditions. Using these the anticommutator among the fermionic string coordinates is obtained. Interestingly, in contrast to the bosonic case, this new normal ordering plays an important role in uncovering the underlying nonanticommutative structure between the fermionic string coordinates. We feel that our approach is more transparent than the previous ones and the results we obtain match with the existing results in the literature.

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“…Previously in a couple of papers [18,19], two of the authors used this approach to investigate this problem. Surprisingly a common point of all these studies in the superstring theory is that all the literatures are solely confined for the Ramond (R) BC(s) only.…”

Section: Introductionmentioning

confidence: 98%

String Non(anti)commutativity for Neveu-Schwarz Boundary Conditions

Chatterjee

Gangopadhyay

Hazra³

et al. 2008

Int J Theor Phys

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The appearance of non(anti)commutativity in superstring theory, satisfying the Neveu-Schwarz boundary conditions is discussed in this paper. Both an open free superstring and also one moving in a background antisymmetric tensor field are analyzed to illustrate the point that string non(anti)commutativity is a consequence of the nontrivial boundary conditions. The method used here is quite different from several other approaches where boundary conditions were treated as constraints. An interesting observation of this study is that, one requires that the bosonic sector satisfies Dirichlet boundary conditions at one end and Neumann at the other in the case of the bosonic variables X μ being antiperiodic. The non(anti)commutative structures derived in this paper also leads to the closure of the super constraint algebra which is essential for the internal consistency of our analysis.

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Noncommutativity in interpolating string: A study of gauge symmetries in a noncommutative framework

Cited by 11 publications

References 17 publications

Gauge symmetry and W-algebra in higher derivative systems

Gauge symmetry and W-algebra in higher derivative systems

Normal ordering and non(anti)commutativity in open super strings

String Non(anti)commutativity for Neveu-Schwarz Boundary Conditions

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