O(n,n) invariance and Wald entropy formula in the Heterotic Superstring effective action at first order in alpha'

Abstract

We perform the toroidal compactification of the full Bergshoeff-de Roo version of the Heterotic Superstring effective action to first orderin ${\alpha }^{\prime }$. The dimensionally-reduced action is given in a manifestly-O(n,n)-invariant form which we use to derive a manifestly-O(n,n)-invariant Wald entropy formula which we then use to compute the entropy of ${\alpha }^{\prime }$-corrected, 4-dimensional, 4-charge, static, extremal, supersymmetric black holes.

References and comments added. Version to be published in Journal of High Energy Physics

References in corpus (13)

• Black Hole Entropy in the presence of Chern-Simons Terms
• Heterotic $\alpha$'-corrections in Double Field Theory
• Heterotic Effective Action and Duality Symmetries Revisited
• alpha'-Corrections to Extremal Dyonic Black Holes in Heterotic String Theory
• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets
• Note on the First Law with p-form potentials
• Duality Invariance and Higher Derivatives
• The first law and Wald entropy formula of heterotic stringy black holes at first order in alpha prime
• T duality and Wald entropy formula in the Heterotic Superstring effective action at first order in ${\alpha }^{\prime }$
• alpha'-exact entropies for BPS and non-BPS extremal dyonic black holes in heterotic string theory from ten-dimensional supersymmetry
• Green-Schwarz Mechanism for String Dualities
• First law of black hole mechanics with fermions
• On the supersymmetric solutions of the Heterotic Superstring effective action

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