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  Bulk Witten Indices and the Number of Normalizable Ground States in Supersymmetric Quantum Mechanics of Orthogonal, Symplectic and Exceptional Groups

Staudacher, M. (2000). Bulk Witten Indices and the Number of Normalizable Ground States in Supersymmetric Quantum Mechanics of Orthogonal, Symplectic and Exceptional Groups. Physics Letters B, 488, 194-198.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5776-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5777-A
Genre: Journal Article

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 Creators:
Staudacher, Matthias1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: This note addresses the question of the number of normalizable vacuum states in supersymmetric quantum mechanics with sixteen supercharges and arbitrary semi-simple compact gauge group, up to rank three. After evaluating certain contour integrals obtained by appropriately adapting BRST deformation techniques we propose novel rational values for the bulk indices. Our results demonstrate that an asymptotic method for obtaining the boundary contribution to the index, originally due to Green and Gutperle, fails for groups other than SU(N). We then obtain likely values for the number of ground states of these systems. In the case of orthogonal and symplectic groups our finding is consistent with recent conjectures of Kac and Smilga, but appears to contradict their result in the case of the exceptional group G2.

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Language(s): eng - English
 Dates: 2000
 Publication Status: Published in print
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 Identifiers: eDoc: 2808
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Title: Physics Letters B
Source Genre: Journal
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Pages: - Volume / Issue: 488 Sequence Number: - Start / End Page: 194 - 198 Identifier: -