Classical solutions and order of zeros in open string field theory

Earlier an analytic approach is proposed for classical solutions describing tachyon vacuum in open string field theory. Based on the approach, we construct a certain class of classical solutions written in terms of holomorphic functions with higher order zeros. Taking the simplest among the new classical solutions, we study the cohomology of the new BRS charge and make a numerical analysis of the vacuum energy. The results indicate that the new non-trivial solution is another analytic candidate for the tachyon vacuum.

[1]  A. Sen.  Tachyon Dynamics in Open String Theory , 2004, hep-th/0410103.

[2]  S. Zeze.  World Sheet Geometry of Classical Solutions in String Field Theory , 2004, hep-th/0405097.

[3]  Tomohiko Takahashi,et al.  Gauge Fixing and Scattering Amplitudes in String Field Theory Expanded around Universal Solutions , 2003, hep-th/0304261.

[4]  Tomohiko Takahashi.  Tachyon condensation and universal solutions in string field theory , 2003, hep-th/0302182.

[5]  L. Rastelli,et al.  Experimental string field theory , 2002, hep-th/0211012.

[6]  Tomohiko Takahashi,et al.  Open String Field Theory around Universal Solutions , 2002, hep-th/0205275.

[7]  K. Ohmori.  A Review on Tachyon Condensation in Open String Field Theories , 2001, hep-th/0102085.

[8]  A. Sen,et al.  Tachyon condensation in string field theory , 1999, hep-th/9912249.

[9]  A. U.S.,et al.  Level truncation and the tachyon in open bosonic string field theory , 2000 .

[10]  A. Sen.  Universality of the tachyon potential , 1999, hep-th/9911116.

[11]  A. Sen.  Descent Relations among Bosonic D-Branes , 1999, hep-th/9902105.

[12]  V. Kostelecký,et al.  On a nonperturbative vacuum for the open bosonic string , 1990 .

[13]  I. Frenkel,et al.  Semi-infinite cohomology and string theory. , 1986, Proceedings of the National Academy of Sciences of the United States of America.

[14]  M. Henneaux.  Remarks on the cohomology of the BRS operator in string theory , 1986 .

[15]  Edward Witten,et al.  Non-commutative geometry and string field theory , 1986 .

[16]  Mitsuhiro Kato,et al.  Covariant quantization of string based on BRS invariance , 1983 .