Double field formulation of Yang-Mills theory

Abstract

Based on our previous work on the differential geometry for the closed string double field theory, we construct a Yang-Mills action which is covariant under O(D,D) T-duality rotation and invariant under three-types of gauge transformations: non-Abelian Yang-Mills, diffeomorphism and one-form gauge symmetries. In double field formulation, in a manifestly covariant manner our action couples a single O(D,D) vector potential to the closed string double field theory. In terms of undoubled component fields, it couples a usual Yang-Mills gauge field to an additional one-form field and also to the closed string background fields which consist of a dilaton, graviton and a two-form gauge field. Our resulting action resembles a twisted Yang-Mills action.

1+14 pages, no figure; v2 refs added. To appear in Physics Letters B

References in corpus (26)

• Target Space Duality in String Theory
• Double Field Theory
• A Strong Coupling Test of S-Duality
• On non-abelian generalisation of Born-Infeld action in string theory
• Generalized metric formulation of double field theory
• Superspace Duality in Low-Energy Superstrings
• A Geometry for Non-Geometric String Backgrounds
• D-Branes and Topological Field Theories
• Two-Vierbein Formalism for String-Inspired Axionic Gravity
• Background independent action for double field theory
• Doubled Geometry and T-Folds
• The gauge algebra of double field theory and Courant brackets
• Differential geometry with a projection: Application to double field theory
• T-duality, Generalized Geometry and Non-Geometric Backgrounds
• A Canonical Approach to Duality Transformations
• Background Field Equations for the Duality Symmetric String
• Solution--Generating Transformations and the String Effective Action
• The other topological twisting of N=4 Yang-Mills
• Duality Symmetric Strings, Dilatons and O(d,d) Effective Actions
• Exact Duality in String Effective Action
• A Study of a Non-Abelian Generalization of the Born-Infeld Action
• Invariances and Equations of Motion in Double Field Theory
• Non-Abelian generalization of Born-Infeld theory inspired by non-commutative geometry
• Born-Infeld inspired bosonic action in a noncommutative geometry
• Topological twisting of conformal supercharges
• T-Dual Formulation of Yang-Mills Theory

Cited by in corpus (56)

• Double Field Theory: A Pedagogical Review
• Exploring Double Field Theory
• Double Field Theory of Type II Strings
• Stringy differential geometry, beyond Riemann
• Gauged Double Field Theory
• Duality orbits of non-geometric fluxes
• SO(5,5) duality in M-theory and generalized geometry
• The local symmetries of M-theory and their formulation in generalised geometry
• Supersymmetric Double Field Theory: Stringy Reformulation of Supergravity
• Covariant action for a string in doubled yet gauged spacetime
• Stringy Unification of Type IIA and IIB Supergravities under N=2 D=10 Supersymmetric Double Field Theory
• The effective action of Double Field Theory
• N=1 Supersymmetric Double Field Theory
• M-theory and Type IIB from a Duality Manifest Action
• Comments on double field theory and diffeomorphisms
• Incorporation of fermions into double field theory
• The O_{D,D} Geometry of String Theory
• Ramond-Ramond Cohomology and O(D,D) T-duality
• Massive Type II in Double Field Theory
• Heterotic Effective Action and Duality Symmetries Revisited
• Supersymmetry for Gauged Double Field Theory and Generalised Scherk-Schwarz Reductions
• Boundary Terms in Generalized Geometry and doubled field theory
• U-geometry : SL(5)
• Duality Symmetric String and M-Theory
• Connecting T-duality invariant theories
• A Double Sigma Model for Double Field Theory
• Einstein Double Field Equations
• Double Field Theory for Double D-branes
• $\mathbf{O}(D,D)$ Covariant Noether Currents and Global Charges in Double Field Theory
• Remarks on the non-Riemannian sector in Double Field Theory
• An O(D,D) Invariant Hamiltonian Action for the Superstring
• The rotation curve of a point particle in stringy gravity
• Green-Schwarz superstring on doubled-yet-gauged spacetime
• Double Field Theory Inspired Cosmology
• E8 duality and dual gravity
• Kaluza-Klein reduction on a maximally non-Riemannian space is moduli-free
• Supersymmetric gauged Double Field Theory: Systematic derivation by virtue of \textit{Twist}
• Standard Model as a Double Field Theory
• $\mathbf{O}(D,D)$ completion of the Friedmann equations
• Pregeometric First Order Yang-Mills Theory
• Fractons, non-Riemannian Geometry, and Double Field Theory
• U-gravity : $\mathbf{SL}(N)$
• Equations of Motion in Double Field Theory: From Particles to Scale Factors
• Post-Newtonian Feasibility of the Closed String Massless Sector
• Heterotic Kerr-Schild Double Field Theory and its double Yang-Mills formulation
• Superconformal Yang-Mills quantum mechanics and Calogero model with OSp(N|2,R) symmetry
• U-duality in three and four dimensions
• New Cosmological Signatures from Double Field Theory
• Stringy Newton Gravity with $H$-flux
• A note on Faddeev--Popov action for doubled-yet-gauged particle and graded Poisson geometry
• Symmetry enhancement interpolation, non-commutativity and Double Field Theory
• Loop Corrections in Double Field Theory: Non-trivial Dilaton Potentials
• Higher Spin Double Field Theory : A Proposal
• Perturbations in $\mathbf{O}(D,D)$ string cosmology from double field theory
• Late-time Cosmology without Dark Sector but with Closed String Massless Sector
• Gravitational Core of Double Field Theory: Lecture Notes