Nonrelativistic Open String and Yang-Mills Theory

Abstract

The classical and quantum worldsheet theory describing nonrelativistic open string theory in an arbitrary nonrelativistic open and closed string background is constructed. We show that the low energy dynamics of open strings ending on n coincident D-branes in flat spacetime is described by a Galilean invariant U(n) Yang-Mills theory. We also study nonrelativistic open string excitations with winding number and demonstrate that their dynamics can be encoded into a local gauge theory in one higher dimension. By demanding conformal invariance of the boundary couplings, the nonlinear equations of motion that govern the consistent open string backgrounds coupled to an arbitrary closed background (described by a string Newton-Cartan geometry, Kalb-Ramond, and dilaton field) are derived and shown to emerge from a Galilean invariant Dirac-Born-Infeld type action.

41 pages

References in corpus (8)

• Double Field Theory
• Non-Relativistic Strings and Limits of the AdS/CFT Correspondence
• Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics
• Extended Galilean symmetries of non-relativistic strings
• T-Duality in Nonrelativistic Open String Theory
• Probing tachyon kinks in Newton-Cartan background
• Renormalization of Galilean Electrodynamics
• Uniqueness of Galilean Conformal Electrodynamics and its Dynamical Structure

Cited by in corpus (31)

• Aspects of Nonrelativistic Strings
• Torsional string Newton-Cartan geometry for non-relativistic strings
• A Non-Relativistic Limit of NS-NS Gravity
• Non-Relativistic Ten-Dimensional Minimal Supergravity
• A non-relativistic limit of M-theory and 11-dimensional membrane Newton-Cartan geometry
• On the Non-Relativistic Expansion of Closed Bosonic Strings
• Torsional Deformation of Nonrelativistic String Theory
• Dual D-Brane Actions in Nonrelativistic String Theory
• Nonrelativistic Approximations of Closed Bosonic String Theory
• Aspects of Non-Relativistic Quantum Field Theories
• Worldsheet Formalism for Decoupling Limits in String Theory
• Galilean Gauge Theories from Null Reductions
• The Supersymmetric Neveu-Schwarz Branes of Non-Relativistic String Theory
• Matrix Theory Reloaded: A BPS Road to Holography
• Non-Lorentzian IIB Supergravity from a Polynomial Realization of SL(2,R)
• KLT Factorization of Nonrelativistic String Amplitudes
• Anisotropic Compactification of Nonrelativistic M-Theory
• Coset space actions for nonrelativistic strings
• 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
• Non-relativistic string monodromies
• Light-Cone Gauge in Non-Relativistic AdS${}_5\times$S${}^5$ String Theory
• Constructing Non-Relativistic AdS${}_5$/CFT${}_4$ Holography
• Dual Non-Lorentzian Backgrounds for Matrix Theories
• Lie Algebra Expansions, Non-Relativistic Matter Multiplets and Actions
• KLT Factorization of Winding String Amplitudes
• D-Brane Actions in Non-Relativistic String Theory and T-Duality
• Formulation of Galilean relativistic Born-Infeld theory