Current algebras from QP-manifolds in general dimensions
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2013
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916536253415424 |
|---|---|
| author | Ikeda, Noriaki Xu, Xiaomeng |
| author_facet | Ikeda, Noriaki Xu, Xiaomeng |
| contents | We propose a new unified formulation of the current algebra theory in general dimensions in terms of supergeometry. We take a QP-manifold, i.e. a differential graded (dg) symplectic manifold, as a fundamental framework. A Poisson bracket in a current algebra is constructed by the so called derived bracket of the graded Poisson structure induced from the above QP-structure. By taking a canonical transformation on a QP-manifold, correct anomalous terms in physical theories are derived. A large class of current algebras with and without anomalous terms (central extensions) are constructed from the above structure. Moreover, using this formulation, a new class of current algebras related higher structures are systematically obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1308_0100 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Current algebras from QP-manifolds in general dimensions Ikeda, Noriaki Xu, Xiaomeng Mathematical Physics High Energy Physics - Theory Symplectic Geometry We propose a new unified formulation of the current algebra theory in general dimensions in terms of supergeometry. We take a QP-manifold, i.e. a differential graded (dg) symplectic manifold, as a fundamental framework. A Poisson bracket in a current algebra is constructed by the so called derived bracket of the graded Poisson structure induced from the above QP-structure. By taking a canonical transformation on a QP-manifold, correct anomalous terms in physical theories are derived. A large class of current algebras with and without anomalous terms (central extensions) are constructed from the above structure. Moreover, using this formulation, a new class of current algebras related higher structures are systematically obtained. |
| title | Current algebras from QP-manifolds in general dimensions |
| topic | Mathematical Physics High Energy Physics - Theory Symplectic Geometry |
| url | https://arxiv.org/abs/1308.0100 |