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      Dyon degeneracies from Mathieu moonshine symmetry

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      Physical Review D
      American Physical Society (APS)

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          Counting Dyons in N=4 String Theory

          We present a microscopic index formula for the degeneracy of dyons in four-dimensional N=4 string theory. This counting formula is manifestly symmetric under the duality group, and its asymptotic growth reproduces the macroscopic Bekenstein-Hawking entropy. We give a derivation of this result in terms of the type II five-brane compactified on K3, by assuming that its fluctuations are described by a closed string theory on its world-volume. We find that the degeneracies are given in terms of the denominator of a generalized super Kac-Moody algebra. We also discuss the correspondence of this result with the counting of D-brane states.
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            Maximally Supersymmetric String Theories in D<10

            , , (2010)
            The existence of maximally supersymmetric solutions to heterotic string theory that are not toroidal compactifications of the ten-dimensional superstring is established. We construct an exact fermionic realization of an N=1 supersymmetric string theory in D=8 with non-simply-laced gauge group Sp(20). Toroidal compactification to six and four dimensions gives maximally extended supersymmetric theories with reduced rank (4,12) and (6,14) respectively.
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              Notes on the K3 Surface and the Mathieu group M_24

              We point out that the elliptic genus of the K3 surface has a natural decomposition in terms of dimensions of irreducible representations of the largest Mathieu group M_24. The reason is yet a mystery.
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                Author and article information

                Journal
                PRVDAQ
                Physical Review D
                Phys. Rev. D
                American Physical Society (APS)
                2470-0010
                2470-0029
                October 2017
                October 25 2017
                : 96
                : 8
                Article
                10.1103/PhysRevD.96.086020
                edd9bfc9-f67b-45a3-bba9-586e4cf93131
                © 2017

                https://link.aps.org/licenses/aps-default-license

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