A singular one-parameter family of solutions in cubic superstring field theory

Abstract

Performing a gauge transformation of a simple identity-like solution of superstring field theory, we construct a one-parameter family of solutions, and by evaluating the energy associated to this family, we show that for most of the values of the parameter the solution represents the tachyon vacuum, except for two isolated singular points where the solution becomes the perturbative vacuum and the half brane solution.

Comments on real tachyon vacuum solution without square roots

“…Finally, regarding to the modified cubic superstring field theory [25] and Berkovits nonpolynomial open superstring field theory [26], since these theories are based on Witten's associative star product, their mathematical setup shares the same algebraic structure of the open bosonic string field theory, and thus the prescription developed in reference [11] and the results shown in this paper should be extended to construct and study new real solutions in the superstring context like the ones discussed in references [24,27,28,29,30,31,32].…”

$KBc$ algebra and the gauge invariant overlap in open string field theory

“…Finally, we would like to comment that the evaluation of the gauge invariant overlap can be generalized for solutions in the context of superstring field theory [30,31,32]. For instance, we should analyze the gauge invariant overlap for solutions constructed out of elements in the so-called GKBcγ algebra introduced in references [33,34,35,36,37]. The analytic computation of this gauge invariant quantity has already been presented for some particular solutions [38,39,40], however it remains the numerical analysis.…”

Numerical solution of open string field theory in Schnabl gauge

“…Schnabl's solution for tachyon condensation [1] in Witten's open bosonic string field theory [2] has been a remarkable achievement which has provided an elegant analytic proof of Sen's first conjecture [3,4]. Schnabl's seminal work has allowed the development of modern analytical and numerical techniques [5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21] which have been used to explore new analytic solutions [22,23,24,25,26,27,28,29,30,31,32,33], and the bosonic results have been extended to the case of open superstring field theories [34,35,36,37,38,39,40,41,42,43,44,45].…”