Introduces the twisted Villain model to realize exact T-duality on the lattice for fibred manifolds, recovering bundle-flux exchange and defining topological defects via half-gauging.
An Introduction to T-Duality in String Theory
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
In these lectures a general introduction to T-duality is given. In the abelian case the approaches of Buscher, and Ro\u{c}ek and Verlinde are reviewed. Buscher's prescription for the dilaton transformation is recovered from a careful definition of the gauge integration measure. It is also shown how duality can be understood as a quite simple canonical transformation. Some aspects of non-abelian duality are also discussed, in particular what is known on relation to canonical transformations. Some implications of the existence of duality on the cosmological constant and the definition of distance in String Theory are also suggested.
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Derives inherently 9D one-loop effective couplings in type IIB from T-duality on reduced IIA terms at order alpha'^3, demonstrating S-duality invariance without tree-level or non-perturbative input and consistency with heterotic duality.
Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian strings.
citing papers explorer
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Stringy T-duality on the lattice and the twisted Villain model
Introduces the twisted Villain model to realize exact T-duality on the lattice for fibred manifolds, recovering bundle-flux exchange and defining topological defects via half-gauging.
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The emergence of inherently 9-dimensional one-loop effective action from T-duality
Derives inherently 9D one-loop effective couplings in type IIB from T-duality on reduced IIA terms at order alpha'^3, demonstrating S-duality invariance without tree-level or non-perturbative input and consistency with heterotic duality.
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Worldsheet Formalism for Decoupling Limits in String Theory
Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian strings.