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

Abstract

Nonanticommutativity in an open super string moving in the presence of a background antisymmetric tensor field B{sub {mu}}{sub {nu}} 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.

Authors:
 [1];  [2]
  1. S. N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata-700098 (India)
  2. Sundarban Mahavidyalaya, Kakdwip, South 24 Parganas, West-Bengal (India)
Publication Date:
OSTI Identifier:
21020205
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.065026; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRA; BOUNDARY CONDITIONS; COMMUTATION RELATIONS; CONFORMAL INVARIANCE; COORDINATES; EQUATIONS OF MOTION; FERMIONS; QUANTUM FIELD THEORY; STRING MODELS; TENSOR FIELDS

Citation Formats

Gangopadhyay, Sunandan, and Hazra, Arindam Ghosh. Normal ordering and non(anti)commutativity in open super strings. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.065026.
Gangopadhyay, Sunandan, & Hazra, Arindam Ghosh. Normal ordering and non(anti)commutativity in open super strings. United States. doi:10.1103/PHYSREVD.75.065026.
Gangopadhyay, Sunandan, and Hazra, Arindam Ghosh. Thu . "Normal ordering and non(anti)commutativity in open super strings". United States. doi:10.1103/PHYSREVD.75.065026.
@article{osti_21020205,
title = {Normal ordering and non(anti)commutativity in open super strings},
author = {Gangopadhyay, Sunandan and Hazra, Arindam Ghosh},
abstractNote = {Nonanticommutativity in an open super string moving in the presence of a background antisymmetric tensor field B{sub {mu}}{sub {nu}} 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.},
doi = {10.1103/PHYSREVD.75.065026},
journal = {Physical Review. D, Particles Fields},
number = 6,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}