Relating non-relativistic string theories

A bstract Non-relativistic string theories promise to provide simpler theories of quantum gravity as well as tractable limits of the AdS/CFT correspondence. However, several apparently distinct non-relativistic string theories have been constructed. In particular, one approach is to reduce a relativ...

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Published in:The journal of high energy physics Vol. 2019; no. 11; pp. 1 - 32
Main Authors: Harmark, Troels, Hartong, Jelle, Menculini, Lorenzo, Obers, Niels A., Oling, Gerben
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2019
Springer Nature B.V
SpringerOpen
Subjects:
AdS-CFT Correspondence
Algebra
Charged particles
Classical and Quantum Gravitation
Conformal Field Models in String Theory
Dilatons
Elementary Particles
Gauge-gravity correspondence
Geometry
Gravity
High energy physics
Matrix theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum gravity
Quantum Physics
Regular Article - Theoretical Physics
Relativism
Relativistic effects
Relativistic theory
Relativity Theory
Spacetime
String Duality
String Theory
Symmetry
Theory of relativity
AdS-CFT Correspondence
Gauge-gravity correspondence
Conformal Field Models in String Theory
String Duality
ISSN:1029-8479, 1126-6708, 1029-8479
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Summary:A bstract Non-relativistic string theories promise to provide simpler theories of quantum gravity as well as tractable limits of the AdS/CFT correspondence. However, several apparently distinct non-relativistic string theories have been constructed. In particular, one approach is to reduce a relativistic string along a null isometry in target space. Another method is to perform an appropriate large speed of light expansion of a relativistic string. Both of the resulting non-relativistic string theories only have a well-defined spectrum if they have nonzero winding along a longitudinal spatial direction. In the presence of a Kalb-Ramond field, we show that these theories are equivalent provided the latter direction is an isometry. Finally, we consider a further limit of non-relativistic string theory that has proven useful in the context of AdS/CFT (related to Spin Matrix Theory). In that case, the worldsheet theory itself becomes non-relativistic and the dilaton coupling vanishes.
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ISSN:1029-8479
1126-6708
1029-8479
DOI:10.1007/JHEP11(2019)071