# A∞/L∞ structure and alternative action for WZW-like superstring field theory

@article{Goto2015ALSA, title={A∞/L∞ structure and alternative action for WZW-like superstring field theory}, author={Keiyu Goto and Hiroaki Matsunaga}, journal={Journal of High Energy Physics}, year={2015}, volume={2017}, pages={1-45} }

A bstractWe propose new gauge invariant actions for open NS, heterotic NS, and closed NS-NS superstring field theories. They are based on the large Hilbert space, and have Wess-Zumino-Witten-like expressions which are the ℤ2$$ {\mathrm{\mathbb{Z}}}_2 $$-reversed versions of the conventional WZW-like actions. On the basis of the procedure proposed in arXiv:1505.01659, we show that our new WZW-like actions are completely equivalent to A∞/L∞ actions proposed in arXiv:1403.0940 respectively.

#### 16 Citations

Notes on the Wess-Zumino-Witten-like structure: L∞ triplet and NS-NS superstring field theory

- Physics
- 2017

A bstractIn the NS-NS sector of superstring field theory, there potentially exist three nilpotent generators of gauge transformations and two constraint equations: it makes the gauge algebra of type… Expand

Superstring field theory and the Wess-Zumino-Witten action

- Physics, Mathematics
- 2017

A bstractWe describe a notion of “higher” Wess-Zumino-Witten-like action which is natural in the context of superstring field theories formulated in the large Hilbert space. For the open string, the… Expand

Comments on complete actions for open superstring field theory

- Physics
- 2015

A bstractWe clarify a Wess-Zumino-Witten-like structure including Ramond fields and propose one systematic way to construct gauge invariant actions: Wess-Zumino-Witten-like complete action SWZW. We… Expand

Construction of action for heterotic string field theory including the Ramond sector

- Physics
- 2016

A bstractExtending the formulation for open superstring field theory given in arXiv:1508.00366, we attempt to construct a complete action for heterotic string field theory. The action is… Expand

Relating Berkovits and A∞ superstring field theories; large Hilbert space perspective

- Physics
- 2016

A bstractWe lift the dynamical field of the A∞ superstring field theory to the large Hilbert space by introducing a gauge invariance associated with the eta zero mode. We then provide a field… Expand

Type II superstring field theory with cyclic L ∞ structure

- 2019

We construct a complete type II superstring field theory that includes all the NS-NS, R-NS, NS-R and R-R sectors. As in the open and heterotic superstring cases, the R-NS, NS-R and R-R string fields… Expand

Type II superstring field theory with cyclic $L_\infty$ structure

- Physics
- 2020

We construct a complete type II superstring field theory that includes all the NS-NS, R-NS, NS-R and R-R sectors. As in the open and heterotic superstring cases, the R-NS, NS-R and R-R string fields… Expand

Gauge reducibility of superstring field theory and Batalin-Vilkovisky master action

- Physics
- 2017

In this paper, we show that there exists a hidden gauge reducibility in superstring field theory based on the small dynamical string field $\Psi \in \mathcal{H}_{\beta \gamma }$ whose gauge variation… Expand

Heterotic string field theory with cyclic L-infinity structure.

- Physics
- 2019

We construct a complete heterotic string field theory that includes both the Neveu-Schwarz and Ramond sectors. We give a construction of general string products, which realizes a cyclic L-infinity… Expand

Relating Berkovits and $A_\infty$ Superstring Field Theories; Large Hilbert Space Perspective

- Physics
- 2015

We lift the dynamical field of the $A_\infty$ superstring field theory to the large Hilbert space by introducing a gauge invariance associated with the eta zero mode. We then provide a field… Expand

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