34,127 research outputs found
Nonrelativistic String Theory in Background Fields
Nonrelativistic string theory is a unitary, ultraviolet finite quantum
gravity theory with a nonrelativistic string spectrum. The vertex operators of
the worldsheet theory determine the spacetime geometry of nonrelativistic
string theory, known as the string Newton-Cartan geometry. We compute the Weyl
anomaly of the nonrelativistic string worldsheet sigma model describing strings
propagating in a string Newton-Cartan geometry, Kalb-Ramond and dilaton
background. We derive the equations of motion that dictate the backgrounds on
which nonrelativistic string theory can be consistently defined quantum
mechanically. The equations of motion we find from our study of the conformal
anomaly of the worldsheet theory are to nonrelativistic string theory what the
(super)gravity equations of motion are to relativistic string theory.Comment: 32 pages; v2: minor clarifications, fixed typos, references added;
v3: a reference adde
Exotic nonrelativistic string
We construct a classical nonrelativistic string model in 3+1 dimensions. The model contains a spurion tensor field that is responsible for the noncommutative structure of the model. Under double-dimensional reduction the model reduces to the exotic nonrelativistic particle in 2+1 dimensions
- …