Yang–Mills theory for semidirect products G ⋉ g∗ and its instantons

  1. Ruiz Ruiz, F. 1
  1. 1 Universidad Complutense de Madrid
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    Universidad Complutense de Madrid

    Madrid, España

    ROR 02p0gd045

Revista:
The European Physical Journal C

ISSN: 1434-6044 1434-6052

Año de publicación: 2015

Volumen: 75

Número: 7

Tipo: Artículo

DOI: 10.1140/EPJC/S10052-015-3529-Z GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: The European Physical Journal C

Referencias bibliográficas

  • A. Achúcarro, P.K. Townsend, A Chern–Simons action for three-dimensional anti-de Sitter supergravity theories. Phys. Lett. B 180, 89 (1986)
  • E. Witten, (2+1)-Dimensional gravity as an exactly soluble system. Nucl. Phys. B 311, 46 (1988)
  • F.A. Bais, B.J. Schroers, Quantization of monopoles with nonabelian magnetic charge. Nucl. Phys. B 512, 250 (1998). arXiv:hep-th/9708004
  • G. Altarelli, F. Feruglio, Discrete flavor symmetries and models of neutrino mixing. Rev. Mod. Phys. 82, 2701 (2010). arXiv:1002.0211 [hep-ph]
  • S.F. King, A. Merle, S. Morisi, Y. Shimizu, M. Tanimoto, Neutrino mass and mixing: from theory to experiment. New J. Phys. 16, 045018 (2014). arXiv:1402.4271 [hep-ph]
  • C. Hattori, M. Matsunaga, T. Matsuoka, Semidirect product gauge group $$[SU(3)_{\text{ c }} \times SU(2)_{\text{ L }}]\times U(1)_{ \text{ Y }}$$ [ S U ( 3 ) c × S U ( 2 ) L ] × U ( 1 ) Y and quantization of hypercharge. Phys. Rev. D 83, 015009 (2011). arXiv:1006.0563 [hep-ph]
  • T. Hashimoto, M. Matsunaga and K. Yamamoto, Quantization of hypercharge in gauge groups locally isomorphic but globally non-isomorphic to $$SU(3)_c X SU(2)_L X U(1)_Y$$ S U ( 3 ) c X S U ( 2 ) L X U ( 1 ) Y . arXiv:1302.0669 [hep-ph]
  • A. Medina, Ph Revoy, Algèbres de Lie et produit scalaire invariant. Ann. Sci. Éc. Norm. Sup. 18, 553 (1985)
  • J.M. Figueroa-O’Farrill, S. Stanciu, Nonsemisimple Sugawara constructions. Phys. Lett. B 327, 40 (1994). arXiv:hep-th/9402035
  • K. Sfetsos, Exact string backgrounds from WZW models based on nonsemisimple groups. Int. J. Mod. Phys. A 9, 4759 (1994). arXiv:hep-th/9311093
  • A.A. Tseytlin, On gauge theories for nonsemisimple groups. Nucl. Phys. B 450, 231 (1995). arXiv:hep-th/9505129
  • J.M. Figueroa-O’Farrill, S. Stanciu, Nonreductive WZW models and their CFTs. Nucl. Phys. B 458, 137 (1996). arXiv:hep-th/9506151
  • V.G. Drinfeld, in Proc. ICM. Quantum groups, Berkeley, 1986, p. 798
  • A.A. Belavin, A.M. Polyakov, A.S. Schwartz, Y.S. Tyupkin, Pseudoparticle solutions of the Yang–Mills equations. Phys. Lett. B 59, 85 (1975)
  • G. ’t Hooft, unpublished
  • R. Jackiw, C. Nohl, C. Rebbi, Conformal properties of pseudoparticle configurations. Phys. Rev. D 15, 1642 (1977)
  • E. Witten, Some exact multi-instanton solutions of classical Yang–Mills theory. Phys. Rev. Lett. 38, 121 (1977)
  • M.F. Atiyah, V.G. Drinfeld, N.J. Hitchin, Y.I. Manin, Construction of instantons. Phys. Lett. A 65, 185 (1978)
  • N.H. Christ, E.J. Weinberg, N.K. Stanton, General selfdual Yang–Mills solutions. Phys. Rev. D 18, 2013 (1978)
  • E. Corrigan, D.B. Fairlie, P. Goddard, S. Templeton, A Green’s function for the general selfdual gauge field. Nucl. Phys. B 140, 31 (1978)
  • A.S. Schwarz, On regular solutions of Euclidean Yang–Mills equations. Phys. Lett. B 67, 172 (1977)
  • R. Jackiw, C. Rebbi, Degrees of freedom in pseudoparticle systems. Phys. Lett. B 67, 189 (1977)
  • M.F. Atiyah, B.J. Hitchin, I.M. Singer, Deformations of instantons. Proc. Nat. Acad. Sci. 74, 2662 (1977)
  • L.S. Brown, R.D. Carlitz, C. Lee, Massless excitations in instanton fields. Phys. Rev. D 16, 417 (1977)
  • D. Tong, TASI lectures on solitons: Instantons, monopoles, vortices and kinks. arXiv:hep-th/0509216
  • E.J. Weinberg, Classical solutions in quantum field theory (Cambridge university Press, Cambridge, 2012)
  • G. ’t Hooft, Computation of the quantum effects due to a four-dimensional pseudoparticle. Phys. Rev. D 14, 3432 (1976). (Erratum-ibid. D 18 (1978) 2199)