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Born-Infeld corrections to the entropy function of heterotic black holes

“…This in turn brings about the importance of α corrections from the near horizon analysis. In fact, if the above analysis could be repeated in higher dimensions, with the higher GaussBonnet densities, then, there might be a suggested bound on the charges, from the coefficients of Lovelock terms to each order [53], putting a bound on the existence of extremal configurations. Now as expected, the entire correction to the radius of AdS 2 and S 2 in eqn.…”

“…Attractor equations fix the values of moduli in terms of the charges carried by the black hole. The results can be generalized to include higher Gauss-Bonnet densities, based on Lovelock type of actions [53]. All the same, it is not yet clear why only a particular set of higher curvature corrections should be added to a given system.…”