We briefly report on our recent results regarding the introduction of a notion of a q-quaternion and the construction of instanton solutions of a would-be deformed su(2) Yang-Mills theory on the corresponding SO_q(4)-covariant quantum space. As the solutions depend on some noncommuting parameters, this indicates that the moduli space of a complete theory will be a noncommutative manifold.
q-Quaternions and Deformed su(2) Instantons on the Quantum Euclidean Space R_q^4 / Fiore, Gaetano. - STAMPA. - (2006), pp. 109-120. (Intervento presentato al convegno VI International Workshop ``Lie Theory and Its Applications to Physics'' tenutosi a Varna, Bulgaria nel agosto 2005).
q-Quaternions and Deformed su(2) Instantons on the Quantum Euclidean Space R_q^4
FIORE, GAETANO
2006
Abstract
We briefly report on our recent results regarding the introduction of a notion of a q-quaternion and the construction of instanton solutions of a would-be deformed su(2) Yang-Mills theory on the corresponding SO_q(4)-covariant quantum space. As the solutions depend on some noncommuting parameters, this indicates that the moduli space of a complete theory will be a noncommutative manifold.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
