The model for self-dual chiral bosons as a Hodge theory |
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Authors: | Sudhaker Upadhyay Bhabani Prasad Mandal |
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Institution: | 1.Department of Physics,Banaras Hindu University,Varanasi,India |
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Abstract: | We consider (1+1) dimensional theory for a single self-dual chiral boson as a classical model for gauge theory. Using the
Batalin–Fradkin–Vilkovisky (BFV) technique, the nilpotent BRST and anti-BRST symmetry transformations for this theory have
been studied. In this model other forms of nilpotent symmetry transformations like co-BRST and anti-co-BRST, which leave the
gauge-fixing part of the action invariant, are also explored. We show that the nilpotent charges for these symmetry transformations
satisfy the algebra of the de Rham cohomological operators in differential geometry. The Hodge decomposition theorem on compact
manifold is also studied in the context of conserved charges. |
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Keywords: | |
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