Abstract
We consider the compactification on a circle of the Heterotic Superstring effective action to first order in the Regge slope parameter α′ and re-derive the α′-corrected Buscher rules first found in ref. [42], proving the T duality invariance of the dimensionally-reduced action to that order in α′. We use Iyer and Wald’s prescription to derive an entropy formula that can be applied to black-hole solutions which can be obtained by a single non-trivial compactification on a circle and discuss its invariance under the α′-corrected T duality transformations. This formula has been successfully applied to α′-corrected 4-dimensional non-extremal Reissner-Nordström black holes in ref. [21] and we apply it here to a heterotic version of the Strominger-Vafa 5-dimensional extremal black hole.
Highlights
We consider the compactification on a circle of the Heterotic Superstring effective action to first order in the Regge slope parameter α and re-derive the α -corrected Buscher rules first found in ref. [42], proving the T duality invariance of the dimensionallyreduced action to that order in α
We use Iyer and Wald’s prescription to derive an entropy formula that can be applied to black-hole solutions which can be obtained by a single non-trivial compactification on a circle and discuss its invariance under the α -corrected T duality transformations
This formula has been successfully applied to α -corrected 4dimensional non-extremal Reissner-Nordstrom black holes in ref. [21] and we apply it here to a heterotic version of the Strominger-Vafa 5-dimensional extremal black hole
Summary
As a warm-up exercise (and because of the recursive definition of the action that will make necessary the zeroth-order fields in the first-order action), we review the wellknown dimensional reduction of the action at zeroth order in α using the Scherk-Schwarz formalism [54]. The last term is a total derivative that can be absorbed into the definition of the 9dimensional vector field B(1)μ and the remaining terms are manifestly gauge-invariant 2-forms. We can use this result in the reduction of the Lorentz Chern-Simons 3-form; after all, the only difference with the Yang-Mills Chern-Simons 3-form is the gauge group, which now is the 10-dimensional Lorentz group. C log (4.17) Let us move to the gauge-invariant combination H (1)abc, that we will identify with the 9-dimensional Kalb-Ramond 3-form field strength. We have added some O(α 2) terms in order to obtain nicer or simpler expressions
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
