Algebroid Yang-Mills theories.

作者: Thomas Strobl

DOI: 10.1103/PHYSREVLETT.93.211601

关键词:

摘要: (Dated: June 23, 2004)A framework for constructing new kinds of gauge theories is suggested. Essentially it consists inreplacing Lie algebras by or Courant algebroids. Besides presenting novel topological theoriesdefined in arbitrary spacetime dimensions, we show that equipping algebroids E with a fibermetric having sufficiently many E-Killing vectors leads to an astonishingly mild deformation ofordinary Yang-Mills theories: Additional fields turn out carry no propagating modes. Insteadthey serve as moduli parameters gluing together part different theories. This toa symmetry enhancement at critical points these fields, also typical String effective fieldtheories.

参考文章(17)
J. Mrčun, Ieke Moerdijk, Introduction to Foliations and Lie Groupoids ,(2003)
Alan Weinstein, Ana Cannas da Silva, Geometric Models for Noncommutative Algebras ,(1999)
James F. Glazebrook, INTRODUCTION TO FOLIATIONS AND LIE GROUPOIDS (Cambridge Studies in Advanced Mathematics 91) Bulletin of The London Mathematical Society. ,vol. 37, pp. 318- 320 ,(2005) , 10.1112/S0024609305224220
Glenn Barnich, Friedemann Brandt, Marc Henneaux, Local BRST cohomology in gauge theories Physics Reports. ,vol. 338, pp. 439- 569 ,(2000) , 10.1016/S0370-1573(00)00049-1
K. Schoutens, A. Sevrin, P. van Nieuwenhuizen, Nonlinear Yang-Mills theories Physics Letters B. ,vol. 255, pp. 549- 553 ,(1991) , 10.1016/0370-2693(91)90264-Q
PETER SCHALLER, THOMAS STROBL, Poisson Structure Induced (Topological) Field Theories arXiv: High Energy Physics - Theory. ,(1994) , 10.1142/S0217732394002951
N. Ikeda, Two-Dimensional Gravity and Nonlinear Gauge Theory Annals of Physics. ,vol. 235, pp. 435- 464 ,(1994) , 10.1006/APHY.1994.1104
Thomas Klösch, Thomas Strobl, Classical and Quantum Gravity in 1+1 Dimensions, Part I: A Unifying Approach arXiv: General Relativity and Quantum Cosmology. ,(1995) , 10.1088/0264-9381/13/5/015
Thomas Klösch, Thomas Strobl, Classical and quantum gravity in 1+1 dimensions: I. A unifying approach Classical and Quantum Gravity. ,vol. 14, pp. 825- 825 ,(1997) , 10.1088/0264-9381/14/3/022
T. Strobl, Gravity from Lie Algebroid Morphisms Communications in Mathematical Physics. ,vol. 246, pp. 475- 502 ,(2004) , 10.1007/S00220-003-1026-Y