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Construction of the zero-energy state of SU(2)-matrix theory: Near the origin
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-3456-5846
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2009 (English)In: Nuclear Physics B, ISSN 0550-3213, Vol. 817, no 3, 155-166 p.Article in journal (Refereed) Published
Abstract [en]

We explicitly construct a (unique) Spin(9) x SU(2) singlet state, phi, involving only the fermionic degrees of freedom of the supersymmetric matrix-model corresponding to reduced 10-dimensional super-Yang Mills theory, respectively supermembranes in 11-dimensional Minkowski space. Any non-singular wave-function annihilated by the 16 supercharges of SU(2) matrix theory must, at the origin (where it is assumed to be non-vanishing) reduce to phi.

Place, publisher, year, edition, pages
Elsevier B.V. , 2009. Vol. 817, no 3, 155-166 p.
Keyword [en]
supersymmetric matrix models, singlet state, representation theory, recursive approach
National Category
Other Physics Topics Mathematics
URN: urn:nbn:se:kth:diva-12840DOI: 10.1016/j.nuclphysb.2009.01.020ISI: 000272811100001ScopusID: 2-s2.0-67349266205OAI: diva2:319246
Swedish Research Council
QC20100629Available from: 2010-05-17 Created: 2010-05-17 Last updated: 2011-03-18Bibliographically approved
In thesis
1. Zero-energy states in supersymmetric matrix models
Open this publication in new window or tab >>Zero-energy states in supersymmetric matrix models
2010 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The work of this Ph.D. thesis in mathematics concerns the problem of determining existence, uniqueness, and structure of zero-energy states in supersymmetric matrix models, which arise from a quantum mechanical description of the physics of relativistic membranes, reduced Yang-Mills gauge theory, and of nonperturbative features of string theory, respectively M-theory. Several new approaches to this problem are introduced and considered in the course of seven scientific papers, including: construction by recursive methods (Papers A and D), deformations and alternative models (Papers B and C), averaging with respect to symmetries (Paper E), and weighted supersymmetry and index theory (Papers F and G). The mathematical tools used and developed for these approaches include Clifford algebras and associated representation theory, structure of supersymmetric quantum mechanics, as well as spectral theory of (matrix-) Schrödinger operators.

Place, publisher, year, edition, pages
Stockholm: KTH, 2010. 88 p.
Trita-MAT. MA, ISSN 1401-2278 ; 10:06
supermembrane matrix models, supersymmetric quantum mechanics, zero-energy states, Clifford algebra, matrix-valued Schrödinger operator, spectral theory, bounds for negative eigenvalues
National Category
Mathematics Other Physics Topics
urn:nbn:se:kth:diva-12846 (URN)978-91-7415-662-1 (ISBN)
Public defence
2010-06-04, Sal F3, KTH, Lindstedtsvägen 26, Stockholm, 14:00 (English)
QC20100629Available from: 2010-05-19 Created: 2010-05-17 Last updated: 2010-06-29Bibliographically approved

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Hoppe, JensLundholm, DouglasTrzetrzelewski, Maciej
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