Dual D-Brane Actions in Nonrelativistic String Theory
arXiv:2112.09316 · doi:10.1007/JHEP04(2022)161
Abstract
We study worldvolume actions for D-branes coupled to the worldvolume U(1) gauge field and Ramond-Ramond (RR) potentials in nonrelativistic string theory. This theory is a self-contained corner of relativistic string theory and has a string spectrum with a Galilean-invariant dispersion relation. We therefore refer to such D-branes in nonrelativistic string theory as nonrelativistic D-branes. We focus on the bosonic fields in spacetime and also couple the D-branes to general closed string geometry, Kalb-Ramond, and dilaton background fields. We dualize nonrelativistic D-branes by performing a duality transformation on the worldvolume U(1) gauge field and uncover novel dual D-brane actions. This generalizes familiar properties, such as the SL(2,Z) duality in Type IIB superstring theory and the relation between Type IIA superstring and M-theory, to nonrelativistic string and M-theory. Moreover, we generalize the limit of string theory, in which nonrelativistic string theory arises, to include RR potentials. This stringy limit induces a codimension-two foliation structure in spacetime. This spacetime geometry is non-Riemannian and known as string Newton-Cartan geometry. In contrast, nonrelativistic M-theory that we probe by dualizing D2- and D4-branes in nonrelativistic string theory arises as a membrane limit of M-theory, and it is coupled to a membrane Newton-Cartan geometry with a codimension-three foliation structure. We also discuss T-duality in nonrelativistic string theory and generalize Buscher rules from earlier work to include RR potentials.
63 pages; v2: published version
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- Matrix Theory Reloaded: A BPS Road to Holography
- The Supersymmetric Neveu-Schwarz Branes of Non-Relativistic String Theory
- Non-Lorentzian IIB Supergravity from a Polynomial Realization of SL(2,R)
- Generalized Newton-Cartan Geometries for Particles and Strings
- Anisotropic Compactification of Nonrelativistic M-Theory
- Branched SL(2,Z) Duality
- Longitudinal Galilean and Carrollian limits of non-relativistic strings
- Quantization of Interacting Galilean Field theories
- Supersymmetric Galilean Electrodynamics
- Nonrelativistic expansion of M2 branes and M theory backgrounds
- Dual Non-Lorentzian Backgrounds for Matrix Theories
- Renormalization of Supersymmetric Lifshitz Sigma Models
- de Sitter Holography and Carrollian Brane Theories
- Nonrelativistic expansion of type IIA NS5 brane