Abstract

We construct an analytic solution for tachyon condensation around identity-based marginal solutions in Berkovits' WZW-like open superstring field theory. Using this, which is a kind of wedge-based solution, the gauge invariant overlaps for the identity-based marginal solutions can be calculated analytically. This is a straightforward extension of a method in bosonic string field theory, which has been elaborated by the authors, to superstring. We also comment on a gauge equivalence relation between the tachyon vacuum solution and its marginally deformed one. From this viewpoint, we can find the vacuum energy of the identity-based marginal solutions to be zero, which agrees with the previous result as a consequence of $\xi$ zero mode counting.

Highlights

  • JHEP07(2014)031 fully use the tachyon vacuum solution given by Erler [9] and a supersymmetric extension of the techniques used in the bosonic case

  • We construct an analytic solution for tachyon condensation around identitybased marginal solutions in Berkovits’ WZW-like open superstring field theory

  • The solution ΦJ, which is in the large Hilbert space, can be related to ΨJ which is regarded as a marginal solution in the modified cubic superstring field theory [12, 13]: ΨJ

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Summary

Identity-based marginal solutions

In [1], we have a type of identity-based marginal solutions in Berkovits’ WZW-like superstring field theory: ΦJ = VLa(Fa)I, VLa(f ) ≡. Where Fa(z) is some function such as Fa(−1/z) = z2Fa(z), CL denotes a half unit circle: |z| = 1, Re z ≥ 0 and I is the identity state. The solution ΦJ , which is in the large Hilbert space, can be related to ΨJ which is regarded as a marginal solution in the modified cubic superstring field theory [12, 13]: ΨJ. From the expression in (2.2), it can be found that ΦJ satisfies the equation of motion in the NS sector, η0 e−ΦJ QBeΦJ = 0,. By expanding the NS action S[Φ; QB] of Berkovits’ WZW-like superstring field theory around ΦJ as eΦ = eΦJ eΦ′ ,.

Deformed algebra
Tachyon vacuum solution
Analytic evaluation of observables for identity-based marginal solutions
Concluding remarks
A On gauge equivalence relations

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