A Note on T-duality in Heterotic String Theory

Abstract

We revisit the T-duality transformation rules in heterotic string theory, pointing out that the chiral structure of the world-sheet leads to a modification of the standard Buscher's transformation rules. The simplest instance of such modifications arises for toroidal compactifications, which are rederived by analyzing a bosonized version of the heterotic world-sheet Lagrangian. Our study indicates that the usual heterotic toroidal T-duality rules naively extended to the curved case cannot be correct, leading in particular to an incorrect Bianchi identity for the field strength H of the Kalb-Ramond field B. We explicitly show this problem and provide a specific example of dual models where we are able to get new T-duality rules which, contrary to the standard ones, lead to a correct T-dual Bianchi identity for H to all orders in α'.

13 pages; v2: one reference added, to appear in Phys. Lett. B

References in corpus (1)

• Duality and Dilaton

Cited by in corpus (12)

• Heterotic $\alpha$'-corrections in Double Field Theory
• Heterotic Effective Action and Duality Symmetries Revisited
• Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT's
• Exploring the landscape of heterotic strings on T^d
• A new twist on heterotic string compactifications
• T duality and Wald entropy formula in the Heterotic Superstring effective action at first order in ${\alpha }^{\prime }$
• O(n,n) invariance and Wald entropy formula in the Heterotic Superstring effective action at first order in alpha'
• Topology Change from (Heterotic) Narain T-Duality
• T-duality, Non-geometry and Lie Algebroids in Heterotic Double Field Theory
• A Note on T-dualities in the Pure Spinor Heterotic String
• Non-geometric Five-branes in Heterotic Supergravity
• Gauge Five-brane Solutions of Co-dimension Two in Heterotic Supergravity