skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: World Sheet Commuting beta-gamma CFT and Non-Relativistic 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 non-relativistic 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 non-relativistic dispersion relation without a nontrivial topology in the non-relativistic setup, which is one of the major differences from the previous works[1, 2, 3]. This simple theory is the non-relativistic 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.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
927836
Report Number(s):
LBNL-63372; UCB-PTH-07/15, arXiv:0708.4261
TRN: US0804731
DOE Contract Number:  
DE-AC02-05CH11231
Resource Type:
Journal Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 76; Related Information: Journal Publication Date: 2007
Country of Publication:
United States
Language:
English
Subject:
72; DIMENSIONS; DISPERSION RELATIONS; SIGMA MODEL; SPACE-TIME; SYMMETRY; TARGETS; TOPOLOGY

Citation Formats

Kim, Bom Soo. World Sheet Commuting beta-gamma CFT and Non-Relativistic StringTheories. United States: N. p., 2007. Web.
Kim, Bom Soo. World Sheet Commuting beta-gamma CFT and Non-Relativistic StringTheories. United States.
Kim, Bom Soo. 2007. "World Sheet Commuting beta-gamma CFT and Non-Relativistic StringTheories". United States. https://www.osti.gov/servlets/purl/927836.
@article{osti_927836,
title = {World Sheet Commuting beta-gamma CFT and Non-Relativistic 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 non-relativistic 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 non-relativistic dispersion relation without a nontrivial topology in the non-relativistic setup, which is one of the major differences from the previous works[1, 2, 3]. This simple theory is the non-relativistic 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 = {},
url = {https://www.osti.gov/biblio/927836}, 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}
}