Constraints on the tachyon condensate from anomalous symmetries

TL;DR

This work addresses the exact form of the tachyon condensate in cubic string field theory by exploiting anomalous symmetries of the cubic vertex to generate an infinite set of linear constraints on condensate coefficients. The author derives these identities for even n and reduces them to relations among observables in Siegel gauge, then compares them with level-truncation results, finding reasonable agreement. The results demonstrate that anomalous symmetries encode nontrivial information about the condensate and provide a complementary check to numerical level truncation, offering insight into the exact structure of the tachyon vacuum and potential additional exact symmetries. The findings suggest further symmetries could, in principle, fix the condensate completely and strengthen our understanding of nonperturbative dynamics in cubic string field theory.

Abstract

Using anomalous symmetries of the cubic string field theory vertex we derive set of relations between the coefficients of the tachyon condensate. They are in agreement with the results obtained from level truncation approximation.