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Double Field Theory
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Double Field Theory
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The zero modes of closed strings on a torus --the torus coordinates plus dual coordinates conjugate to winding number-- parameterize a doubled torus. In closed string field theory, the string field depends on all zero-modes and so can be expanded to give an infinite set of fields on the doubled torus. We use the string field theory to construct a theory of massless fields on the doubled torus. Key to the consistency is a constraint on fields and gauge parameters that arises from the L_0 - \bar L_0=0 condition in closed string theory. The symmetry of this double field theory includes usual and 'dual diffeomorphisms', together with a T-duality acting on fields that have explicit dependence on the torus coordinates and the dual coordinates. We find that, along with gravity, a Kalb-Ramond field and a dilaton must be added to support both usual and dual diffeomorphisms. We construct a fully consistent and gauge invariant action on the doubled torus to cubic order in the fields. We discuss the challenges involved in the construction of the full nonlinear theory. We emphasize that the doubled geometry is physical and the dual dimensions should not be viewed as an auxiliary structure or a gauge artifact.
Forward citations
Cited by 16 Pith papers
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Carrollian limit of NS-NS and Heterotic Supergravity
A finite Carrollian limit of NS-NS and heterotic supergravity is constructed by field expansion, including a gauge sector, a Green-Schwarz mechanism analysis, and a finite leading α' correction.
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Carrollian limit of NS-NS and Heterotic Supergravity
Ultra-relativistic expansion plus dilaton scaling produces finite covariant Carrollian NS-NS and heterotic supergravity actions, with trivializable Green-Schwarz for the 1-form and finite leading Riem^{2} α' corrections.
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Gauge-Dressed Complex Geometry and T-duality in Heterotic String Theories
Gauge-dressed complex geometry yields heterotic Buscher-like T-duality rules and an extended Born geometry satisfying hypercomplex algebras.
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$\alpha'$-Bootstrap
An infinite-dimensional algebraic structure on a megaspace yields recursive, T-duality-covariant NS-NS α' and α'^{2} corrections matching known bosonic and heterotic results up to field redefinitions.
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Generalized Bergshoeff-de Roo identification in the Supergravity frame
A new parametrization of the O(D,D+k) vielbein makes the generalized Bergshoeff–de Roo identification work directly in the supergravity frame, giving an all-order action whose O(α′^2) part has only three couplings.
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Local symmetry and the dependence on extended spacetime
Linearised E theory and its reduction to Siegel theory possess local symmetries under differential constraints on parameters that differ from section conditions, with the dilaton equation invariant under a non-linear ...
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Duality-covariant particles and exotic branes
Proposes enlarged worldline models with coadjoint orbit terms and generalized worldvolume theories for exotic branes that make E8 duality covariance manifest in a Hamiltonian formulation.
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Duality-covariant particles and exotic branes
A particle worldline in E8 exceptional field theory is made gauge-invariant by adding a coadjoint-orbit "duality charge", and the same Hamiltonian framework organizes exotic zero-brane dynamics such as the 0^(1,7) brane.
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On Quantum Aspects of 1-Form Symmetries I: BV-BRST Cohomology and Anomaly Polynomials
Develops Čech-de Rham bicomplex from gerbe data for BV-BRST cohomology of U(1) 2-form gauge theories and anomaly polynomials of 1-form symmetries.
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Curvatures and Non-metricities in the Non-Relativistic Limit of Bosonic Supergravity
A metric-only, torsionless-connection formulation with fixed non-metricities rewrites the non-relativistic limit of bosonic supergravity covariantly and matches the vielbein string Newton-Cartan action at Lagrangian level.
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Mega-Space Current Algebra and Green-Schwarz Geometry in Heterotic String Theory
A Poláček-Siegel mega-space current algebra with Lorentz and heterotic gauge sectors embeds Chern-Simons structures and yields a Green-Schwarz-like Bianchi identity from Jacobi identities, without the α′ tr(R∧R) term.
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On Quantum Aspects of 1-Form Symmetries I: BV-BRST Cohomology and Anomaly Polynomials
Constructs Čech-de Rham bicomplex from gerbe data for BV-BRST complex and anomaly descent of U(1) 1-form symmetries in Maxwell theory.
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Quantum Spacetime, Quantum Gravity and Gravitized Quantum Theory
Quantum spacetime with a non-commutative dual explains the fixed Born rule of quantum theory and leads to gravitized quantum mechanics featuring dynamical probabilities and higher-order interference.
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Heterotic Black Holes in Duality-Invariant Formalism
The work analyzes the dual geometry of charged black holes in a T-duality invariant heterotic string theory in two dimensions and extends a prior non-perturbative solution to multiple abelian gauge fields.
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Lecture notes: Introduction to the Off-shell Double Copy Program
Self-contained lecture notes introduce the off-shell single/double copy relating Yang-Mills and DFDF gauge theories to Einstein-Hilbert, Weyl gravity and NS-NS supergravity via Kerr-Schild and Double Field Theory.
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Lecture notes: Introduction to the Off-shell Double Copy Program
Lecture notes reviewing gauge and gravitational theories to present the off-shell single and double copy, including T-duality approaches.
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