Gauge-dressed complex geometry yields heterotic Buscher-like T-duality rules and an extended Born geometry satisfying hypercomplex algebras.
Double Field Theory
7 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
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.
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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 parameter constraint, without needing field conditions.
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.
Constructs Čech-de Rham bicomplex from gerbe data for BV-BRST complex and anomaly descent of U(1) 1-form symmetries in Maxwell theory.
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.
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.
Lecture notes reviewing gauge and gravitational theories to present the off-shell single and double copy, including T-duality approaches.
citing papers explorer
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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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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 parameter constraint, without needing field conditions.
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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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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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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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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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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.