Closed string deformations in open string field theory. Part III. $$ \mathcal{N} $$ = 2 worldsheet localization

Author:

Maccaferri CarloORCID,Vošmera JakubORCID

Abstract

Abstract In this paper, which is the last of a series including [1, 2] we first verify that the two open-closed effective potentials derived in the previous paper from the WZW theory in the large Hilbert space and the A theory in the small Hilbert space have the same vacuum structure. In particular, we show that mass-term deformations given by the effective (open)2-closed couplings are the same, provided the effective tadpole is vanishing to first order in the closed string deformation. We show that this condition is always realized when the worldsheet BCFT enjoys a global $$ \mathcal{N} $$ N = 2 superconformal symmetry and the deforming closed string belongs to the chiral ring in both the holomorphic and anti-holomorphic sector. In this case it is possible to explicitly evaluate the mass deformation by localizing the SFT Feynman diagrams to the boundary of world-sheet moduli space, reducing the amplitude to a simple open string two-point function. As a non-trivial check of our construction we couple a constant Kalb-Ramond closed string state to the OSFT on the D3–D(1) system and we show that half of the bosonic blowing-up moduli become tachyonic, making the system condense to a bound state whose binding energy we compute exactly to second order in the closed string deformation, finding agreement with the literature.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Quantum deformation of cubic string field theory;International Journal of Modern Physics A;2024-06-30

2. Open-closed string field theory in the large N limit;Journal of High Energy Physics;2023-09-19

3. The classical cosmological constant of open-closed string field theory;Journal of High Energy Physics;2022-10-26

4. Open-closed homotopy algebra in superstring field theory;Progress of Theoretical and Experimental Physics;2022-08-18

5. Closed string deformations in open string field theory. Part I. Bosonic string;Journal of High Energy Physics;2021-09

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