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Title: Dimensional Duality

Abstract

We show that string theory on a compact negatively curved manifold, preserving a U(1)b1 winding symmetry, grows at least b1 new effective dimensions as the space shrinks. The winding currents yield a ''D-dual'' description of a Riemann surface of genus h in terms of its 2h dimensional Jacobian torus, perturbed by a closed string tachyon arising as a potential energy term in the worldsheet sigma model. D-branes on such negatively curved manifolds also reveal this structure, with a classical moduli space consisting of a b{sub 1}-torus. In particular, we present an AdS/CFT system which offers a non-perturbative formulation of such supercritical backgrounds. Finally, we discuss generalizations of this new string duality.

Authors:
; ; ; ; ; ; ; ; ;
Publication Date:
Research Org.:
Stanford Linear Accelerator Center (SLAC)
Sponsoring Org.:
USDOE
OSTI Identifier:
907709
Report Number(s):
SLAC-PUB-12439
Journal ID: ISSN 0031-9007; PRLTAO; arXiv:0705.0550; TRN: US0703360
DOE Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DIMENSIONS; DUALITY; POTENTIAL ENERGY; RIEMANN SHEET; SIGMA MODEL; SYMMETRY; TACHYONS; Theory-HEP,HEPTH

Citation Formats

Green, Daniel, /SLAC /Stanford U., Phys. Dept., Lawrence, Albion, /Brandeis U., McGreevy, John, /MIT, LNS, Morrison, David R., /Duke U., CGTP /UC, Santa Barbara, Silverstein, Eva, and /SLAC /Stanford U., Phys. Dept. Dimensional Duality. United States: N. p., 2007. Web. doi:10.1103/PhysRevD.76.066004.
Green, Daniel, /SLAC /Stanford U., Phys. Dept., Lawrence, Albion, /Brandeis U., McGreevy, John, /MIT, LNS, Morrison, David R., /Duke U., CGTP /UC, Santa Barbara, Silverstein, Eva, & /SLAC /Stanford U., Phys. Dept. Dimensional Duality. United States. doi:10.1103/PhysRevD.76.066004.
Green, Daniel, /SLAC /Stanford U., Phys. Dept., Lawrence, Albion, /Brandeis U., McGreevy, John, /MIT, LNS, Morrison, David R., /Duke U., CGTP /UC, Santa Barbara, Silverstein, Eva, and /SLAC /Stanford U., Phys. Dept. Fri . "Dimensional Duality". United States. doi:10.1103/PhysRevD.76.066004. https://www.osti.gov/servlets/purl/907709.
@article{osti_907709,
title = {Dimensional Duality},
author = {Green, Daniel and /SLAC /Stanford U., Phys. Dept. and Lawrence, Albion and /Brandeis U. and McGreevy, John and /MIT, LNS and Morrison, David R. and /Duke U., CGTP /UC, Santa Barbara and Silverstein, Eva and /SLAC /Stanford U., Phys. Dept.},
abstractNote = {We show that string theory on a compact negatively curved manifold, preserving a U(1)b1 winding symmetry, grows at least b1 new effective dimensions as the space shrinks. The winding currents yield a ''D-dual'' description of a Riemann surface of genus h in terms of its 2h dimensional Jacobian torus, perturbed by a closed string tachyon arising as a potential energy term in the worldsheet sigma model. D-branes on such negatively curved manifolds also reveal this structure, with a classical moduli space consisting of a b{sub 1}-torus. In particular, we present an AdS/CFT system which offers a non-perturbative formulation of such supercritical backgrounds. Finally, we discuss generalizations of this new string duality.},
doi = {10.1103/PhysRevD.76.066004},
journal = {Physical Review Letters},
number = ,
volume = ,
place = {United States},
year = {Fri May 18 00:00:00 EDT 2007},
month = {Fri May 18 00:00:00 EDT 2007}
}