Poisson gauge models and Seiberg-Witten map

Autor(es)

Kupriyanov, V. G. ; Kurkov, M. A. ; Vitale, P.

• Tipo de documento: Artigo Científico
• Fonte: Journal of High Energy Physics; v. N/A, n. 11, p. 27-pg., 2022-11-11.

Resumo

The semiclassical limit of full non-commutative gauge theory is known as Poisson gauge theory. In this work we revise the construction of Poisson gauge theory paying attention to the geometric meaning of the structures involved and advance in the direction of a further development of the proposed formalism, including the derivation of Noether identities and conservation of currents. For any linear non-commutativity, Theta(ab)(x) = f(c)(ab) x(c), with f(c)(ab) being structure constants of a Lie algebra, an explicit form of the gauge Lagrangian is proposed. In particular a universal solution for the matrix rho defining the field strength and the covariant derivative is found. The previously known examples of kappa-Minkowski, lambda-Minkowski and rotationally invariant non-commutativity are recovered from the general formula. The arbitrariness in the construction of Poisson gauge models is addressed in terms of Seiberg-Witten maps, i.e., invertible field redefinitions mapping gauge orbits onto gauge orbits. (AU)

• Processo FAPESP: 21/09313-8 - Álgebras de homotopia, imersões simpléticas e Teoria de Gauge não comutativa
• Beneficiário: Vladislav Kupriyanov
• Modalidade de apoio: Auxílio à Pesquisa - Regular