Inspired by the recent advances in multiple M2-brane theory, we consider the generalizations of Nahm equations for arbitrary p-algebras. We construct the topological p-algebra quantum mechanics associated to them and we show that this can be obtained as a truncation of the topological p-brane theory previously studied by the authors. The resulting topological p-algebra quantum mechanics is discussed in detail and the relation with the M2-M5 system is pointed out in the p=3 case, providing a geometrical argument for the emergence of the 3-algebra structure in the Bagger-Lambert-Gustavsson theory

Topological branes, p-algebras and generalized Nahm equations / Bonelli, G.; Tanzini, A.; Zabzine, M.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 672:4-5(2009), pp. 390-395. [10.1016/j.physletb.2009.01.051]

Topological branes, p-algebras and generalized Nahm equations

Bonelli, G.;Tanzini, A.;
2009-01-01

Abstract

Inspired by the recent advances in multiple M2-brane theory, we consider the generalizations of Nahm equations for arbitrary p-algebras. We construct the topological p-algebra quantum mechanics associated to them and we show that this can be obtained as a truncation of the topological p-brane theory previously studied by the authors. The resulting topological p-algebra quantum mechanics is discussed in detail and the relation with the M2-M5 system is pointed out in the p=3 case, providing a geometrical argument for the emergence of the 3-algebra structure in the Bagger-Lambert-Gustavsson theory
2009
672
4-5
390
395
https://arxiv.org/abs/0807.5113
Bonelli, G.; Tanzini, A.; Zabzine, M.
File in questo prodotto:
File Dimensione Formato  
004.pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Licenza: Non specificato
Dimensione 194.2 kB
Formato Adobe PDF
194.2 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13091
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 23
  • ???jsp.display-item.citation.isi??? 24
social impact