World Sheet Commuting betagamma CFT and NonRelativistic StringTheories
Abstract
We construct a sigma model in two dimensions with Galilean symmetry in flat target space similar to the sigma model of the critical string theory with Lorentz symmetry in 10 flat spacetime dimensions. This is motivated by the works of Gomis and Ooguri[1] and Danielsson et. al.[2, 3]. Our theory is much simpler than their theory and does not assume a compact coordinate. This nonrelativistic string theory has a bosonic matter {beta}{gamma} CFT with the conformal weight of {beta} as 1. It is natural to identify time as a linear combination of {gamma} and {bar {gamma}} through an explicit realization of the Galilean boost symmetry. The angle between {gamma} and {bar {gamma}} parametrizes one parameter family of selection sectors. These selection sectors are responsible for having a nonrelativistic dispersion relation without a nontrivial topology in the nonrelativistic setup, which is one of the major differences from the previous works[1, 2, 3]. This simple theory is the nonrelativistic analogue of the critical string theory, and there are many different avenues ahead to be investigated. We mention a possible consistent generalization of this theory with different conformal weights for the {beta}{gamma} CFT. We also mention supersymmetric generalizations of these theories.
 Authors:
 Publication Date:
 Research Org.:
 Ernest Orlando Lawrence Berkeley NationalLaboratory, Berkeley, CA (US)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 927836
 Report Number(s):
 LBNL63372; UCBPTH07/15, arXiv:0708.4261
TRN: US0804731
 DOE Contract Number:
 DEAC0205CH11231
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review D; Journal Volume: 76; Related Information: Journal Publication Date: 2007
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72; DIMENSIONS; DISPERSION RELATIONS; SIGMA MODEL; SPACETIME; SYMMETRY; TARGETS; TOPOLOGY
Citation Formats
Kim, Bom Soo. World Sheet Commuting betagamma CFT and NonRelativistic StringTheories. United States: N. p., 2007.
Web.
Kim, Bom Soo. World Sheet Commuting betagamma CFT and NonRelativistic StringTheories. United States.
Kim, Bom Soo. Thu .
"World Sheet Commuting betagamma CFT and NonRelativistic StringTheories". United States.
doi:. https://www.osti.gov/servlets/purl/927836.
@article{osti_927836,
title = {World Sheet Commuting betagamma CFT and NonRelativistic StringTheories},
author = {Kim, Bom Soo},
abstractNote = {We construct a sigma model in two dimensions with Galilean symmetry in flat target space similar to the sigma model of the critical string theory with Lorentz symmetry in 10 flat spacetime dimensions. This is motivated by the works of Gomis and Ooguri[1] and Danielsson et. al.[2, 3]. Our theory is much simpler than their theory and does not assume a compact coordinate. This nonrelativistic string theory has a bosonic matter {beta}{gamma} CFT with the conformal weight of {beta} as 1. It is natural to identify time as a linear combination of {gamma} and {bar {gamma}} through an explicit realization of the Galilean boost symmetry. The angle between {gamma} and {bar {gamma}} parametrizes one parameter family of selection sectors. These selection sectors are responsible for having a nonrelativistic dispersion relation without a nontrivial topology in the nonrelativistic setup, which is one of the major differences from the previous works[1, 2, 3]. This simple theory is the nonrelativistic analogue of the critical string theory, and there are many different avenues ahead to be investigated. We mention a possible consistent generalization of this theory with different conformal weights for the {beta}{gamma} CFT. We also mention supersymmetric generalizations of these theories.},
doi = {},
journal = {Physical Review D},
number = ,
volume = 76,
place = {United States},
year = {Thu Aug 30 00:00:00 EDT 2007},
month = {Thu Aug 30 00:00:00 EDT 2007}
}

We construct a sigma model in two dimensions with Galilean symmetry in flat target space similar to the sigma model of the critical string theory with Lorentz symmetry in 10 flat spacetime dimensions. This is motivated by the works of Gomis and Ooguri [J. Math. Phys. (N.Y.) 42, 3127 (2001)] and Danielsson et al. [J. High Energy Phys. 10 (2000) 020; J. High Energy Phys. 03 (2001) 041.]. Our theory is much simpler than their theory and does not assume a compact coordinate. This nonrelativistic string theory has a bosonic matter {beta}{gamma} conformal field theory with the conformal weight ofmore »

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