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Integrable deformation of ℂPn and generalised Kähler geometry

Saskia Demulder, Falk Hassler, Giacomo Piccinini, Daniel Thompson Orcid Logo

Journal of High Energy Physics, Volume: 2020, Issue: 10

Swansea University Author: Daniel Thompson Orcid Logo

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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...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2020
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa55511
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
College: Faculty of Science and Engineering
Funders: SCOAP3
Issue: 10

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