Gauge-dressed complex geometry yields heterotic Buscher-like T-duality rules and an extended Born geometry satisfying hypercomplex algebras.
Double Field Theory Formulation of Heterotic Strings
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abstract
We extend the recently constructed double field theory formulation of the low-energy theory of the closed bosonic string to the heterotic string. The action can be written in terms of a generalized metric that is a covariant tensor under O(D,D+n), where n denotes the number of gauge vectors, and n additional coordinates are introduced together with a covariant constraint that locally removes these new coordinates. For the abelian subsector, the action takes the same structural form as for the bosonic string, but based on the enlarged generalized metric, thereby featuring a global O(D,D+n) symmetry. After turning on non-abelian gauge couplings, this global symmetry is broken, but the action can still be written in a fully O(D,D+n) covariant fashion, in analogy to similar constructions in gauged supergravities.
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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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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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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.