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Integrable deformation of ℂPn and generalised Kähler geometry
Journal of High Energy Physics, Volume: 2020, Issue: 10
Swansea University Author:
Daniel Thompson
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DOI (Published version): 10.1007/jhep10(2020)086
Abstract
We build on the results of arXiv:1912.11036 for generalised frame fields on generalised quotient spaces and study integrable deformations for CPn. In particular we show how, when the target space of the Principal Chiral Model is a complex projective space, a two-parameter deformation can be introduc...
| Published in: | Journal of High Energy Physics |
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| ISSN: | 1029-8479 |
| Published: |
Springer Science and Business Media LLC
2020
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa55511 |
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| Abstract: |
We build on the results of arXiv:1912.11036 for generalised frame fields on generalised quotient spaces and study integrable deformations for CPn. In particular we show how, when the target space of the Principal Chiral Model is a complex projective space, a two-parameter deformation can be introduced in principle. The second parameter can however be removed via a diffeomorphism, which we construct explicitly, in accordance with the results stemming from a thorough integrability analysis we carry out. We also elucidate how the deformed target space can be seen as an instance of generalised Kaehler, or equivalently bi-Hermitian, geometry. In this respect, we find the generic form of the pure spinors for CPn and the explicit expression for the generalised Kaehler potential for n=1,2 |
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| College: |
Faculty of Science and Engineering |
| Funders: |
SCOAP3 |
| Issue: |
10 |