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D-branes in λ-deformations
Journal of High Energy Physics, Volume: 2018, Issue: 9
Swansea University Author:
Daniel Thompson
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DOI (Published version): 10.1007/JHEP09(2018)015
Abstract
We show that the geometric interpretation of D-branes in WZW models as twisted conjugacy classes persists in the $\lambda$--deformed theory. We obtain such configurations by demanding that a monodromy matrix constructed from the Lax connection of the $\lambda$--deformed theory continues to produce c...
| Published in: | Journal of High Energy Physics |
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| ISSN: | 1029-8479 |
| Published: |
2018
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa44772 |
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| Abstract: |
We show that the geometric interpretation of D-branes in WZW models as twisted conjugacy classes persists in the $\lambda$--deformed theory. We obtain such configurations by demanding that a monodromy matrix constructed from the Lax connection of the $\lambda$--deformed theory continues to produce conserved charges in the presence of boundaries. In this way the D-brane configurations obtained correspond to ``integrable'' boundary configurations. We illustrate this with examples based on $SU(2)$ and $SL(2,\mathbb{R})$, and comment on the relation of these D-branes to both non-Abelian T-duality and Poisson-Lie T-duality. We show that the D2 supported by D0 charge in the $\lambda$--deformed theory map, under analytic continuation together with Poisson-Lie T-duality, to D3 branes in the $\eta$-deformation of the principal chiral model. |
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| Keywords: |
D-branes, integrable field theory, string duality |
| College: |
Faculty of Science and Engineering |
| Issue: |
9 |