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

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arxiv hep-th/9707149 v1 pith:S7ASQX43 submitted 1997-07-16 hep-th

J. A. Minahan , D. Nemeschansky , N. P. Warner This is my paper · ORCID
classification hep-th
keywords statesfunctionsnon-criticalpartitionstringwindingalgorithmanomaly
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abstract

We 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.

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Cited by 2 Pith papers

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  1. BPS Invariants for Generalized Toric Calabi-Yau Threefolds

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    Gopakumar–Vafa invariants are transported across Hanany–Witten transitions after removing a universal parallel-brane sector, giving first-time high-degree invariants for local dP4.

  2. A Pathway to Decay and Fission of Orthosymplectic Quiver Theories

    hep-th 2024-12 conditional novelty 6.0 of 10

    An orthosymplectic extension of the Decay and Fission algorithm is proposed, validated on class S and 6d orbi-instanton quivers, and used to predict new Higgs branch RG flows.

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