Normalization of Off-shell Boundary State, g-function and Zeta Function Regularization

Details Normalization of Off-shell Boundary State, g-function and Zeta Function Regularization Normalization of Off-shell Boundary State, g-function and Zeta Function Regularization

2002-06-14

arxiv.org/abs/hep-th/0206123v2

J.Phys.A35:9395-9412,2002

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX, comments and 3 new references added

Scientific paper

10.1088/0305-4470/35/44/309

We consider the model in two dimensions with boundary quadratic deformation (BQD), which has been discussed in tachyon condensation. The partition function of this model (BQD) on a cylinder is determined, using the method of zeta function regularization. We show that, for closed channel partition function, a subtraction procedure must be introduced in order to reproduce the correct results at conformal points. The boundary entropy (g-function) is determined from the partition function and the off-shell boundary state. We propose and consider a supersymmetric generalization of BQD model, which includes a boundary fermion mass term, and check the validity of the subtraction procedure.

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