The string partition function in Hull's doubled formalism
arXiv:hep-th/0701080 · doi:10.1016/j.physletb.2007.03.007
Abstract
T-duality is one of the essential elements of string theory. Recently, Hull has developed a formalism where the dimension of the target space is doubled so as to make T-duality manifest. This is then supplemented with a constraint equation that allows the connection to the usual string sigma model. This paper analyses the partition function of the doubled formalism by interpreting the constraint equation as that of a chiral scalar and then using holomorphic factorisation techniques to determine the partition function. We find there is quantum equivalence to the ordinary string once the topological interaction term is included.
16 pages, latex, v2 typos corrected, v3 some comments added
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Cited by in corpus (36)
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- Background Field Equations for the Duality Symmetric String
- Lectures on Nongeometric Flux Compactifications
- Duality Invariance: From M-theory to Double Field Theory
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- Duality Symmetric Strings, Dilatons and O(d,d) Effective Actions
- Duality Symmetric String and M-Theory
- Strings and Branes are Waves
- Connecting T-duality invariant theories
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- The Geometry, Branes and Applications of Exceptional Field Theory
- A Double Sigma Model for Double Field Theory
- Double Field Theory for Double D-branes
- D-branes and doubled geometry
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- String Theory and non-Riemannian Geometry
- Mirrorfolds with K3 Fibrations
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- Superstring partition functions in the doubled formalism
- Bound-states of D-branes in L-R asymmetric superstring vacua
- Aspects of the Doubled Worldsheet
- Comparing Double String Theory Actions
- Born sigma model for branes in exceptional geometry
- Type II strings are Exceptional
- M-branes on U-folds
- Old Dualities and New Anomalies
- Currents, charges and algebras in exceptional generalised geometry
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- Double Field Theory and Geometric Quantisation
- Solution-generating transformations in duality-invariant theories and the fluid/gravity correspondence
- Doubled Formalism, Complexification and Topological Sigma-Models
- Duality Covariant Solutions in Extended Field Theories
- Extended Field Theories as higher Kaluza-Klein theories