Level truncation analysis of a simple tachyon vacuum solution in cubic superstring field theory

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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.

Section: Summary and Discussionmentioning

confidence: 86%

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

Arroyo

2016

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“…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].…”

Section: Summary and Discussionmentioning

confidence: 99%

“…Recall that in numerical curly L 0 level truncation computations, a regularization technique based on Padé approximants provides desired results for gauge invariant quantities like the energy [6,20,23,24]. Let us see if after applying Padé approximants, we can recover the expected result.…”

Section: Conservation Laws and The Two Point Vertex In The Sliver Framementioning

confidence: 99%

Comments on real tachyon vacuum solution without square roots

Arroyo

2018

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Abstract:We analyze the consistency of a recently proposed real tachyon vacuum solution without square roots in open bosonic string field theory. We show that the equation of motion contracted with the solution itself is satisfied. Additionally, by expanding the solution in the basis of the curly L 0 and the traditional L 0 eigenstates, we evaluate numerically the vacuum energy and obtain a result in agreement with Sen's conjecture.

“…Let us finish this section by reviewing the level truncation extensively used in the SFT literature (see e.g. [42,44,45,49,[71][72][73][74][75]) and its implementation to explore the space of conformal boundary conditions [43,47] and conformal defects.…”

Section: Jhep01(2021)120mentioning

confidence: 99%

Conformal defects from string field theory

Budzik

Rapčák

Rojas

2021

Unlike conformal boundary conditions, conformal defects of Virasoro minimal models lack classification. Alternatively to the defect perturbation theory and the truncated conformal space approach, we employ open string field theory (OSFT) techniques to explore the space of conformal defects. We illustrate the method by an analysis of OSFT around the background associated to the (1, 2) topological defect in diagonal unitary minimal models. Numerical analysis of OSFT equations of motion leads to an identification of a nice family of solutions, recovering the picture of infrared fixed points due to Kormos, Runkel and Watts. In particular, we find a continuum of solutions in the Ising model case and 6 solutions for other minimal models. OSFT provides us with numerical estimates of the g-function and other coefficients of the boundary state.