Bosonic String Theory in Background Fields by Canonical Methods
Abstract
We investigate classical dynamics of the bosonic string in the background metric, antisymmetric and dilaton fields. We use canonical methods to find Hamiltonian in terms of energy-momentum tensor components. The later are secondary constraints of the theory. Due to the presence of the dilaton field the Virasoro generators have nonlinear realization. We find that, in the curve space-time, opposite chirality currents do not commute. As a consequence of the two-dimensional general covariance, the energy-momentum tensor components satisfy two Virasoro algebras, even in the curve space-time. We emphasize that background antisymmetric and dilaton fields are the origin of space-time torsion and space-time nonmetricity, respectively.
- Publication:
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International Journal of Modern Physics A
- Pub Date:
- 2005
- DOI:
- 10.1142/S0217751X0502118X
- arXiv:
- arXiv:hep-th/0304085
- Bibcode:
- 2005IJMPA..20.5501S
- Keywords:
-
- 11.25.-w;
- 04.20.Fy;
- 04.40.-b;
- Strings and branes;
- Canonical formalism Lagrangians and variational principles;
- Self-gravitating systems;
- continuous media and classical fields in curved spacetime;
- High Energy Physics - Theory
- E-Print:
- Latex, 11 pages, Sec.3. omitted