Boundary states in the SU(2) k WZW model from open string field theory

Matěj Kudrna (FZU — Institute of Physics of the Czech Academy of Sciences, Na Slovance 1999/2, Prague 8, 182 21, Czech Republic)

We analyze boundary states in the SU(2) k WZW model using open string field theory in the level truncation approximation. We develop algorithms that allow effective calculation of the action in this model and we search for classical solutions of the equations of motion, which are conjectured to describe boundary states. We find three types of solutions. First, there are real solutions that represent maximally symmetric Cardy boundary states and we show that they satisfy certain selection rules regarding their parameters. Next, we find complex solutions that go beyond the SU(2) model and describe maximally symmetric SL(2, ℂ) boundary conditions. Finally, we find exotic solutions that correspond to symmetry-breaking boundary states. Most of real exotic solutions describe the so-called B-brane boundary states, but some may represent yet unknown boundary states.

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Published on:
29 March 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 3
Pages 1-88
DOI:
https://doi.org/10.1007/JHEP03(2023)228
arXiv:
2112.12213
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: