Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-03-06
J.Phys.A42:304001,2009
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, Latex, Expanded version of a lecture given at the Conference on Liouville Quantum Gravity and Statistical Systems, i
Scientific paper
10.1088/1751-8113/42/30/304001
Recent results on solutions to the equation of motion of the cubic fermionic string field theory and an equivalence of non-polynomial and cubic string field theories are discussed. To have a possibility to deal with both GSO(+) and GSO(-) sectors in the uniform way a matrix formulation for the NS fermionic SFT is used. In constructions of analytical solutions to open string field theories truncated pure gauge configurations parameterized by wedge states play an essential role. The matrix form of this parametrization for the NS fermionic SFT is presented. Using the cubic open superstring field theory as an example we demonstrate explicitly that for the large parameter of the perturbation expansion these truncated pure gauge configurations give divergent contributions to the equation of motion on the subspace of the wedge states. The perturbation expansion is cured by adding extra terms that are nothing but the terms necessary for the equation of motion contracted with the solution itself to be satisfied.
Aref'eva Irina Ya.
Gorbachev Roman V.
Medvedev Peter B.
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