alpha prime corrections to stringy BHs thermodynamics
by
Matteo Zatti(IFT Madrid)
→
Europe/Berlin
Description
I will report on the recent developments in the computation of first order alpha prime corrections to the thermodynamics of well known families of black hole (BH) solutions of 10d Heterotic String Theory (HST). The prototypical example is the HST non-extremal generalization of the famous 3 charge, 5-dimensional BH considered by Strominger and Vafa. I will briefly review the setup (HST with first order alpha prime corrections) and the technique used to obtain the explicit analytical solution. I will then focus on the BH thermodynamics and discuss the necessity of extending Wald formalism to properly deal with the Chern-Simons terms appearing in the HST action and to obtain a first law of black home mechanics which include the electromagnetic potentials and the scalar charge. I will conclude applying all this machinery to the electrically charged BHs considered by Chen, Maldacena and Vafa in 2109.08563 and commenting on independent methods that can be used in such setup to obtain the thermodynamics corrections. In the last 10 minutes I will talk of an unrelated topic which is still work in progress. I will present a technique to dualize scalar fields which are entering in the action in the form of a non-linear sigma model. As an application we can obtain a democratic description of type 2B theory which does not break the SL(2,R) duality invariance.
