α′ corrections to 4-dimensional non-extremal stringy black holes

We compute the first-order alpha ' corrections to a family of 4-dimensional, 4 charge, non-extremal black hole solutions of Heterotic Supergravity in the case with 3 independent charges. The solutions are fully analytic, reproduce the extremal limit previously found in the literature and, applying T-duality, they transform as expected. If we reduce to the case with a single independent charge we obtain the corrections to four embeddings of the Reissner-Nordstr & ouml;m black hole in string theory. We completely characterize the black hole thermodynamics computing the Hawking temperature, Wald entropy, mass, gauge charges and their dual thermodynamic potentials. We verify that all these quantities are related by the first law of extended black hole mechanics and the Smarr formula once we include a potential associated to the dimensionful parameter alpha ' and the scalar charges. We found that the latter are not identified with the poles at infinity of the scalar fields because they receive alpha ' corrections.

Automated summary

This study computes the first-order alpha' corrections to a family of 4-dimensional non-extremal black hole solutions with 4 charges and 3 independent charges in Heterotic Supergravity. The black hole thermodynamics, including Hawking temperature, Wald entropy, mass, gauge charges, and their thermodynamic potentials, are fully characterized. The study also verifies the relationships between these quantities and the first law of extended black hole mechanics and the Smarr formula.