Showing papers by "Suresh Govindarajan published in 2012"
TL;DR: In this article, the Mathieu group, M 24, acts on this module by recovering the Siegel modular forms that count twisted dyons as a trace over this module, which is done by recovering Borcherds product formulae for these modular forms using the M 24 action.
37 citations
TL;DR: In this article, the degeneracy of quarter BPS dyons in N = 4 type II compactifications of string theory was studied, and it was shown that the genus-two Siegel modular forms generating the degeneracies of the quarter dyons of the type II theories can be expressed in terms of BKM Lie superalgebra structures for the Z N (for N = 2, 3, 4 ) orbifolds of the string compactified on a six-torus.
14 citations
TL;DR: In this paper, the authors conjecture that the asymptotic behavior of the numbers of solid partitions of all integers is identical to that of the three-dimensional MacMahon numbers.
Abstract: We conjecture that the asymptotic behavior of the numbers of solid (three-dimensional) partitions is identical to the asymptotics of the three-dimensional MacMahon numbers. Evidence is provided by an exact enumeration of solid partitions of all integers ⩽68 whose numbers are reproduced with surprising accuracy using the asymptotic formula (with one free parameter) and better accuracy on increasing the number of free parameters. We also conjecture that similar behavior holds for higher dimensional partitions and provides some preliminary evidence for four- and five-dimensional partitions.
7 citations
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TL;DR: In this paper, a twisted index was computed for an orbifold theory when the twist generating group does not commute with the dihedral group, and the residual reflection symmetry was chosen to act as a "twist" on the partition function.
Abstract: We compute a twisted index for an orbifold theory when the twist generating group does not commute with the orbifold group. The twisted index requires the theory to be defined on moduli spaces that are compatible with the twist. This is carried for CHL models at special points in the moduli space where they admit dihedral symmetries. The commutator subgroup of the dihedral groups are cyclic groups that are used to construct the CHL orbifolds. The residual reflection symmetry is chosen to act as a “twist” on the partition function. The reflection symmetries do not commute with the orbifolding group and hence we refer to this as a non-commuting twist. We count the degeneracy of half-BPS states using the twisted partition function and find that the contribution comes mainly from the untwisted sector. We show that the generating function for these twisted BPS states are related to the Mathieu group M24.
1 citations