Symmetries of the Chern - Simons Theory in the Axial Gauge , Manifold with Boundary 1
نویسنده
چکیده
The field equations of the Chern-Simons theory quantized in the axial gauge are shown to be completely determined by supersymmetry Ward identities which express the invariance of the theory under the topological supersymmetry of Delduc, Gieres and Sorella together with the usual Slavnov identity without requiring any action principle.
منابع مشابه
Equivalence of Chern-Simons gauge theory and WZNW model using a BRST symmetry
The equivalence between the Chern-Simons gauge theory on a threedimensional manifold with boundary and theWZNWmodel on the boundary is established in a simple and general way using the BRST symmetry. Our approach is based on restoring gauge invariance of the Chern-Simons theory in the presence of a boundary. This gives a correspondence to the WZNW model that does not require solving any constra...
متن کاملChern - Simons Theory and S - duality
We study S-dualities in analytically continued SL(2) Chern-Simons theory on a 3-manifold M . By realizing Chern-Simons theory via a compactification of a 6d five-brane theory on M , various objects and symmetries in Chern-Simons theory become related to objects and operations in dual 2d, 3d, and 4d theories. For example, the space of flat SL(2,C) connections on M is identified with the space of...
متن کاملFive - dimensional vector - coupled supergravity on a manifold with boundaries 1
We consider the bosonic and fermionic symmetries of five-dimensional Maxwelland YangMills-Einstein supergravity theories on a spacetime with boundaries (isomorphic to M × S/Z2). Due to the appearance of the “Chern-Simons” term, the classical action is not generally invariant under gauge and supersymmetries. Once bulk vector fields are allowed to propagate on the boundaries, there is an “inflow”...
متن کاملCHERN–SIMONS GAUGE THEORY AND THE AdS3/CFT2 CORRESPONDENCE
The bulk partition function of pure Chern–Simons theory on a three-manifold is a state in the space of conformal blocks of the dual boundary RCFT, and therefore transforms non-trivially under the boundary modular group. In contrast the bulk partition function of AdS3 string theory is the modular-invariant partition function of the dual CFT on the boundary. This is a puzzle because AdS3 string t...
متن کاملSymmetries of the Chern - Simons Theory in the Axial Gauge
The Green functions of the Chern-Simons theory quantized in the axial gauge are shown to be calculable as the unique, exact solution of the Ward identities which express the invariance of the theory under the topological supersymmetry of Delduc, Gieres and Sorella. Supported in part by the Swiss National Science Foundation. 2 Supported in part by the ”Fonds zur Förderung der Wissenschaftlichen ...
متن کامل