On odd number of fermion zero modes on solitons in quantum field theory and string/M theory

A bstract We argue that having an odd number of Majorana fermion zero modes on a dynamical point-like soliton signifies an inconsistency in a theory with 3+1 and higher dimensions. We check this statement in a couple of examples in field theory and in string/M theory.

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Bibliographische Detailangaben
Veröffentlicht in:	The journal of high energy physics 2022-09, Vol.2022 (9), p.43-11, Article 43
Hauptverfasser:	Sato, Yotaro, Tachikawa, Yuji, Watari, Taizan
Format:	Artikel
Sprache:	eng
Schlagworte:	Anomalies in Field and String Theories Classical and Quantum Gravitation Elementary Particles Fermions Flux Compactifications High energy physics Hilbert space M theory Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Quantum theory Regular Article - Theoretical Physics Relativity Theory Solitary waves Solitons Monopoles and Instantons String Theory Strings
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Zusammenfassung:	A bstract We argue that having an odd number of Majorana fermion zero modes on a dynamical point-like soliton signifies an inconsistency in a theory with 3+1 and higher dimensions. We check this statement in a couple of examples in field theory and in string/M theory.
ISSN:	1029-8479 1029-8479
DOI:	10.1007/JHEP09(2022)043