BKM Lie Superalgebras in N=4 Supersymmetric String Theory[HBNI Th 20]

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BKM Lie Superalgebras in N=4 Supersymmetric String Theory[HBNI Th 20]

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Title: BKM Lie Superalgebras in N=4 Supersymmetric String Theory[HBNI Th 20]
Author: Gopala Krishna, K.
Advisor: Suresh, Govindarajan, I.I.T.(M); Kalyana Rama, S., IMSc., Chennai
Degree: Ph.D
Main Subjects: Physics
Institution: HBNI
Year: 2009
Pages: 219p.
Abstract: This thesis studies the problem of counting dyons in certain supersymmetric string theory models and the infinite dimensional Lie algebras that underlie the dyonic degeneracies. The counting of 1/4 BPS states in N = 4 supersymmetric four-dimensional string theories can be carried out in a mathematically precise and rigorous fashion due to the fact that the spectrum of these BPS states can be generated by genus-two modular forms[1,2]. The same modular form also occurs in the context of Borcherds-Kac-Mody(BKM) Lie super algebras[3,4] in their dominator identities. The surprising mathematical structure underlying the spectrum of these states is the idea that is developed in this thesis.
URI: http://hdl.handle.net/123456789/235

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