Partition Functions for BPS States of the Non-Critical E_8 String

dc.creatorMinahan, J. A.
dc.creatorNemeschansky, D.
dc.creatorWarner, N. P.
dc.date1997-07-16
dc.date.accessioned2026-07-07T11:36:06Z
dc.date.available2026-07-07T11:36:06Z
dc.descriptionWe consider the BPS states of the $E_8$ non-critical string wound around one of the circles of a toroidal compactification to four dimensions. These states are indexed by their momenta and winding numbers. We find explicit expressions, $G_n$, for the momentum partition functions for the states with winding number $n$. The $G_n$ are given in terms of modular forms. We give a simple algorithm for generating the $G_n$, and we show that they satisfy a recurrence relation that is reminiscent of the holomorphic anomaly equations of Kodaira-Spencer theory.
dc.description17 pages, harvmac(b)
dc.identifierhttps://arxiv.org/abs/hep-th/9707149
dc.identifierhttp://arxiv.org/abs/hep-th/9707149
dc.identifierAdv.Theor.Math.Phys.1:167-183,1998
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198808
dc.subjectHigh Energy Physics - Theory
dc.titlePartition Functions for BPS States of the Non-Critical E_8 String
dc.typetext

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