2019/12/31 by Toshiko Kojita, Kojita, Toshiko
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · pdf · doi:10.48550/arxiv.1912.13487
openalex publication_date 2019/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We have focused on the topological structure of Cubic string field theory (CSFT). From the similarity of action between CSFT and Chern-Simons (CS) theory in three dimensions, we have investigated the quantity \cal N=π2/3∫ (UQU-1)3, which is expected to be the counterpart of winding number in CS theory. In our previous research, it was reported that \cal N can only take a limited number of integer values due to the inevitable anomalies in Okawa type solution. To overcome this unsatisfactory results, we evaluate \cal N and EOM against a solution itself, \cal T, for more general class of pure gauge form solution written in K,B and c in this paper. Then we obtain general formula of \cal N and \cal T. From this result, we show that there is an infinite number of solutions that \cal N takes any integer value while keeping \cal T=0. We also show the gauge invariant observable of these solutions take appropriate values. Furthermore, we evaluate the integral form of the BRST-exact quantity as surface integral.