S-duality in Abelian gauge theory revisited
نویسندگان
چکیده
منابع مشابه
S-duality in Abelian gauge theory revisited
Definition of the partition function of U(1) gauge theory is extended to a class of fourmanifolds containing all compact spaces and the asymptotically locally flat (ALF) ones including the multi-Taub–NUT sopaces. The partition function is calculated via zetafunction regularization and heat kernel techniques with special attention to its modular properties. In the compact case, compared with the...
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U(1) gauge theory on R is known to possess an electric-magnetic duality symmetry that inverts the coupling constant and extends to an action of SL(2,Z). In this paper, the duality is studied on a general four-manifold and it is shown that the partition function is not a modular-invariant function but transforms as a modular form. This result plays an essential role in determining a new low-ener...
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It is observed that the magnetic charges of classical monopole solutions in Yang-Mills-Higgs theory with non-abelian unbroken gauge group H are in one-to-one correspondence with coherent states of a dual or magnetic group H̃. In the spirit of the Goddard-Nuyts-Olive conjecture this observation is interpreted as evidence for a hidden magnetic symmetry of Yang-Mills theory. SU(3) Yang-Mills-Higgs ...
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متن کاملS-duality in Yang-Mills theory with non-abelian unbroken gauge group
It is observed that the magnetic charges of classical monopole solutions in Yang-Mills-Higgs theory with non-abelian unbroken gauge group H are in one-to-one correspondence with coherent states of a dual or magnetic group H̃. In the spirit of the Goddard-Nuyts-Olive conjecture this observation is interpreted as evidence for a hidden magnetic symmetry of Yang-Mills theory. The action of the magne...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2011
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2010.12.007