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Five-brane effective action in M-theory
Affiliation:1. CMUC, Department of Mathematics, University of Coimbra, 3001-501 Coimbra, Portugal;2. Department of Mathematics, University of the Basque Country, UPV/EHU, 48080 Bilbao, Spain;3. School of Computer Science, University of Birmingham, B15 2TT, Birmingham, UK;1. Department of Physics, Swansea University, Singleton Park, Swansea SA2 8PP, United Kingdom;2. Departamento de Física, División de Ciencias e Ingenierías, Campus León, Universidad de Guanajuato, Loma del Bosque No. 103 Col. Lomas del Campestre, C.P. 37150, León, Guanajuato, México;1. Université Denis Diderot Paris 7, Institut Mathématique de Jussieu – Paris rive gauche, France;2. Math. Dept., Rutgers University, New Brunswick, NJ 08901, USA;1. Department of Physics, Tokyo Metropolitan University, Minami-ohsawa 1-1, Hachioji-shi, Tokyo 192-0397, Japan;2. Research School of High-Energy Physics, Tomsk Polytechnic University, 2a Lenin Avenue, Tomsk 634050, Russian Federation;3. Kavli Institute for the Physics and Mathematics of the Universe (IPMU), The University of Tokyo, Chiba 277-8568, Japan;4. Department of Physics, Faculty of Science, Chulalongkorn University, Phayathai Road, Pathumwan, Bangkok 10330, Thailand;1. Hooghly Moghin College, Chinsurah, Hooghly-712101, West Bengal, India;2. Indas Mahavidyalaya, Bankura-722205, West Bengal, India
Abstract:On the world-volume of an M-theory five-brane propagates a two-form with self-dual field strength. As this field is non-Lagrangian, there is no obvious framework for determining its partition function. An analogous problem exists in Type IIB superstring theory for the self-dual five-form. The resolution of these problems and definition of the partition function is explained. A more complete analysis of perturbative anomaly cancellation for M-theory five-branes is also presented, uncovering some surprising details.
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