Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-05-09
Nucl.Phys. B480 (1996) 507-540
Physics
High Energy Physics
High Energy Physics - Theory
42 pages, requires phyzzx, BoxedEPS, 6 ps figures
Scientific paper
10.1016/S0550-3213(96)00501-9
In string field theory an infinitesimal background deformation is implemented as a canonical transformation whose hamiltonian function is defined by moduli spaces of punctured Riemann surfaces having one special puncture. We show that the consistency conditions associated to the commutator of two deformations are implemented by virtue of the existence of moduli spaces of punctured surfaces with two special punctures. The spaces are antisymmetric under the exchange of the special punctures, and satisfy recursion relations relating them to moduli spaces with one special puncture and to string vertices. We develop the theory of moduli spaces of surfaces with arbitrary number of special punctures and indicate their relevance to the construction of a string field theory that makes no reference to a conformal background. Our results also imply a partial antibracket cohomology theorem for the string action.
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