The m-reduction in conformal field theory as the Morita equivalence on two-tori
作者： Vincenzo Marotta , Adele Naddeo
DOI: 10.1088/1126-6708/2008/08/029
关键词:
摘要: We study the Morita equivalence for field theories on noncommutative two-tori. For rational values of noncommutativity parameter θ (in appropriate units) we show between an abelian theory and a nonabelian twisted fields ordinary space. concentrate particular conformal (CFT), one obtained by means m-reduction procedure [1], that also holds at this level. An application to physics quantum Hall fluid Jain fillings ν = m/(2pm+1) is explicitly considered in order further elucidate such correspondence.
harvard.edu
sci-hub.st 参考文章(52)
Vincenzo Marotta, Sress-Tensor for parafermions from the generalized Frenkel-Kac construction of affine algebra arXiv: High Energy Physics - Theory. ,(1997) , 10.1142/S0217732398000929
Diego Hernán Correa, Enrique Francisco Moreno, None, Noncommutative fermions and Morita equivalence Physics Letters B. ,vol. 534, pp. 185- 194 ,(2002) , 10.1016/S0370-2693(02)01665-9
Gerardo Cristofano, Vincenzo Marotta, Adele Naddeo, Twisted CFT and bilayer quantum Hall systems in the presence of an impurity Physics Letters B. ,vol. 571, pp. 250- 259 ,(2003) , 10.1016/J.PHYSLETB.2003.04.001
Yong-Shi Wu, Topological Aspects of the Quantum Hall Effect NATO ASI Series. pp. 461- 491 ,(1990) , 10.1007/978-1-4615-3802-8_12
L. Susskind, The Quantum Hall Fluid and Non-Commutative Chern Simons Theory arXiv: High Energy Physics - Theory. ,(2001)
Michael R. Douglas, Michael R. Douglas, Christopher M. Hull, D-branes and the noncommutative torus Journal of High Energy Physics. ,vol. 1998, pp. 008- 008 ,(1998) , 10.1088/1126-6708/1998/02/008
Nathan Seiberg, Edward Witten, String theory and noncommutative geometry Journal of High Energy Physics. ,vol. 1999, pp. 032- 032 ,(1999) , 10.1088/1126-6708/1999/09/032
Michael Douglas, Nikita Nekrasov, Noncommutative field theory Reviews of Modern Physics. ,vol. 73, pp. 977- 1029 ,(2001) , 10.1103/REVMODPHYS.73.977
D.B. Fairlie, C.K. Zachos, Infinite-dimensional algebras, sine brackets, and SU(∞) Physics Letters B. ,vol. 224, pp. 101- 107 ,(1989) , 10.1016/0370-2693(89)91057-5
Boris Pioline, Albert Schwarz, Morita equivalence and T-duality (or B versus Θ) Journal of High Energy Physics. ,vol. 1999, pp. 021- 021 ,(1999) , 10.1088/1126-6708/1999/08/021