(m,n)-String and D1-Brane in Stringy Newton-Cartan Background

Abstract

This paper is devoted to the analysis of (m,n)-string in stringy Newton-Cartan background. We start with the Hamiltonian constraint for (m,n)-string in general background and perform limiting procedure on metric and NSNS and Ramond-Ramond two form background that leads to stringy Newton-Cartan gravity. We also analyze conditions that these background fields have to obey in order to define consistent world-sheet (m,n)-theory. We also discuss D1-brane with dynamical electric field in stringy Newton-Cartan gravity.

arXiv comment19 pages

References in corpus (16)

• Dirichlet-Branes and Ramond-Ramond Charges
• Non-Relativistic Closed String Theory
• IIA/B, Wound and Wrapped
• `Stringy' Newton-Cartan Gravity
• Strings with Non-Relativistic Conformal Symmetry and Limits of the AdS/CFT Correspondence
• Nonrelativistic String Theory and T-Duality
• Torsional Newton-Cartan gravity from the large $c$ expansion of General Relativity
• Newton-Cartan (super)gravity as a non-relativistic limit
• The Manifestly Sl(2;Z)-covariant Superstring
• Membrane tension and manifest IIB S-duality
• Remark About Non-Relativistic String in Newton-Cartan Background and Null Reduction
• Newton-Cartan Gravity and Torsion
• Nonrelativistic String Theory Sigma Model and Its Canonical Formulation
• Note About Hamiltonian Formalism for Newton-Cartan String and p-Brane
• Non-relativistic Spinning Particle in a Newton-Cartan Background
• Canonical Analysis of Non-Relativistic Particle and Superparticle

Cited by in corpus (19)

• Non-Relativistic Gravity and its Coupling to Matter
• String Theory and String Newton-Cartan Geometry
• Relating non-relativistic string theories
• Nonrelativistic String Theory in Background Fields
• A Non-Relativistic Limit of NS-NS Gravity
• Non-Relativistic Ten-Dimensional Minimal Supergravity
• A worldsheet supersymmetric Newton-Cartan string
• Background Field Method for Nonlinear Sigma Models in Nonrelativistic String Theory
• Non-Riemannian geometry of M-theory
• Oddity in nonrelativistic, strong gravity
• Non-Relativistic M2-Brane
• The Supersymmetric Neveu-Schwarz Branes of Non-Relativistic String Theory
• Non-Relativistic D-brane from T-duality Along Null Direction
• Branched SL(2,Z) Duality
• Stable and Unstable Dp-branes in p-brane Newton-Cartan Background
• Lie Algebra Expansions, Non-Relativistic Matter Multiplets and Actions
• D-Brane Actions in Non-Relativistic String Theory and T-Duality
• Lagrangians for non-relativistic gravity
• Neumann-Rosochatius system for (m,n) string in $Ad{S}_3\times S^3$ with mixed flux