Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-12-11
Prog.Theor.Phys. 111 (2004) 433-462
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, 7 figures, references added, v3:PTPTeX, typos corrected
Scientific paper
10.1143/PTP.111.433
We show that the boundary states satisfy a nonlinear relation (the idempotency equation) with respect to the star product of closed string field theory. This relation is universal in the sense that various D-branes, including the infinitesimally deformed ones, satisfy the same equation, including the coefficient. This paper generalizes our analysis (hep-th/0306189) in the following senses. (1) We present a background-independent formulation based on conformal field theory. It illuminates the geometric nature of the relation and allows us to more systematically analyze the variations around the D-brane background. (2) We show that the Witten-type star product satisfies a similar relation but with a more divergent coefficient. (3) We determine the coefficient of the relation analytically. The result shows that the alpha parameter can be formally factored out, and the relation becomes universal. We present a conjecture on vacuum theory based on this computation.
Kishimoto Isao
Matsuo Yutaka
Watanabe Eitoku
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