On atiyah-singer index of dirac operator on six dimensional sphere with a SO(6)-gauge theory

Küçük Resim Yok

Tarih

2009

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

We consider the Dirac operator on a six dimensional sphere with gravitational and Yang-Mills gauge fields. Here we calculate the Atiyah-Singer index of Dirac operator on a six dimensional sphere with a 50(6)-gauge theory. Moreover, we take the vector field as to be Hedgehog-connection which gives an appropriate result for the field strength and therefore the topological charge. © 2009 Academic Publications.

Açıklama

Anahtar Kelimeler

Anomaly, Atiyah-Singer Index, Dirac Operator, Gravitational Fields, Hedgehog Connection, Topological Charge, Yang- Mills Fields

Kaynak

International Journal of Pure and Applied Mathematics

WoS Q Değeri

Scopus Q Değeri

N/A

Cilt

52

Sayı

5

Künye