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Black holes in string theory
Kudrna, Matěj ; Schnabl, Martin (advisor) ; Krtouš, Pavel (referee)
Recently it was shown by M. Guica, T. Hartman, W. Song and A. Strominger that the entropy of extreme Kerr black hole can be computed through a duality between the quantum gravity on the background of the Kerr black hole and the conformal field theory near the horizon. In our diploma work we have found a generalization of this procedure: we leave the near horizon geometry and we define our boundary conditions and the surface charges in the full spacetime on the horizon of the black hole, where the dual conformal field theory "lives". We use this procedure to rederive the entropy of extremal black holes and then we compute the entropy of general rotating black holes.
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Level Truncation Approach to Open String Field Theory
Kudrna, Matěj ; Schnabl, Martin (advisor) ; Erler, Theodore (referee) ; Kishimoto, Isao (referee)
Given a D-brane background in string theory (or equivalently boundary conditions in a two dimensional conformal field theory), classical solutions of open string field theory equations of motion are conjectured to describe new D-brane backgrounds (boundary conditions). In this thesis we study these solutions in the bosonic open string field theory using the level truncation approach, which is a numerical approach where the string field is truncated to a finite number of degrees of freedom. We start with a review of the theoretical background and numerical methods which are needed in the level truncation approach and then we discuss solutions in several different back- grounds. First we discuss universal solutions, which do not depend on the open string back- ground, then we analyze solutions of the free boson theory compactified on a circle or on a torus, then marginal solutions in three different approaches and finally solutions in theories which in- clude the A-series of Virasoro minimal models. In addition to known D-branes, we find so-called exotic solutions which potentially describe yet unknown boundary states. 1
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Black holes in string theory
Kudrna, Matěj ; Schnabl, Martin (advisor) ; Krtouš, Pavel (referee)
Recently it was shown by M. Guica, T. Hartman, W. Song and A. Strominger that the entropy of extreme Kerr black hole can be computed through a duality between the quantum gravity on the background of the Kerr black hole and the conformal field theory near the horizon. In our diploma work we have found a generalization of this procedure: we leave the near horizon geometry and we define our boundary conditions and the surface charges in the full spacetime on the horizon of the black hole, where the dual conformal field theory "lives". We use this procedure to rederive the entropy of extremal black holes and then we compute the entropy of general rotating black holes.
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