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Solutions of the Bosonic Master-Field Equation from a Supersymmetric Matrix Model

Klinkhamer, F. R.


It has been argued that the bosonic large-N master field of the IIB matrix model can give rise to an emergent classical spacetime. In a recent paper, we have obtained solutions of a simplified bosonic master-field equation from a related matrix model. In this simplified equation, the effects of dynamic fermions were removed. We now consider the full bosonic master-field equation from a related supersymmetric matrix model for dimensionality D = 3 and matrix size N = 3. In this last equation, the effects of dynamic fermions are included. With an explicit realization of the random constants entering this algebraic equation, we establish the existence of nontrivial solutions. The small matrix size, however, does not allow us to make a definitive statement as to the appearance of a diagonal/banddiagonal structure in the obtained matrices.

Verlagsausgabe §
DOI: 10.5445/IR/1000140564
Veröffentlicht am 30.11.2021
DOI: 10.5506/APhysPolB.52.1339
Zitationen: 3
Web of Science
Zitationen: 2
Zitationen: 1
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Theoretische Physik (ITP)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2021
Sprache Englisch
Identifikator ISSN: 0587-4254, 1509-5770
KITopen-ID: 1000140564
Erschienen in Acta physica Polonica / B
Verlag Jagiellonian University
Band 52
Heft 11
Seiten 1339-1356
Nachgewiesen in Dimensions
Web of Science
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