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2011

Winding Number in String Field Theory

Hata, Hiroyuki, Kojita, Toshiko

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Motivated by the similarity between cubic string field theory (CSFT) and the Chern-Simons theory in three dimensions, we study the possibility of interpreting N=(\pi^2/3)\int(U Q_B U^{-1})^3 as a kind of winding number in CSFT taking quantized values.

In particular, we focus on the expression of N as the integration of a BRST-exact quantity, N=\int Q_B A, which vanishes identically in naive treatments.
For realizing non-trivial N, we need a regularization for divergences from the zero eigenvalue of the operator K in the KBc algebra.
This regularization must at same time violate the BRST-exactness of the integrand of N.

Winding Number in String Field Theory · Around

Built on

E. Witten, “Noncommutative Geometry and String Field Theory,” Nucl. Phys. B 268
1986
Earlier work this paper cites.
T. Takahashi and S. Tanimoto, “Marginal and scalar solutions in cubic open string field theory,” JHEP 0203
2002
Earlier work this paper cites.
M. Schnabl, “Analytic solution for tachyon condensation in open string field theory,” Adv. Theor. Math. Phys. 10
2006
Earlier work this paper cites.

Similar

Y. Okawa, “Comments on Schnabl’s analytic solution for tachyon condensation in Witten’s open string field theory,” JHEP 0604
2006
Cited alongside, same era.
T. Erler and M. Schnabl, “A Simple Analytic Solution for Tachyon Condensation,” JHEP 0910
Original
2009
Cited alongside, same era.
T. Erler and C. Maccaferri, “Comments on Lumps from RG flows,” arXiv:1105.6057 [hep-th]
Original
Cited in the paper.

Then

M. Murata and M. Schnabl, “On Multibrane Solutions in Open String Field Theory,” Prog. Theor. Phys. Suppl. 188
Original
2011
Closest in time.
M. Murata and M. Schnabl, talk by M. Murata at the conference “String Field Theory 2011” (Prague, September 2011)
2011
Closest in time.

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