تقرير
Integrable deformation of $\mathbb{CP}^n$ and generalised Kaehler geometry
| العنوان: | Integrable deformation of $\mathbb{CP}^n$ and generalised Kaehler geometry |
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| المؤلفون: | Demulder, Saskia, Hassler, Falk, Piccinini, Giacomo, Thompson, Daniel C. |
| المصدر: | J. High Energ. Phys. 2020, 86 (2020) |
| سنة النشر: | 2020 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | We build on the results of arXiv:1912.11036 for generalised frame fields on generalised quotient spaces and study integrable deformations for $\mathbb{CP}^n$. 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 $\mathbb{CP}^n$ and the explicit expression for the generalised Kaehler potential for $n=1,2$. Comment: 25 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP10(2020)086 |
| URL الوصول: | http://arxiv.org/abs/2002.11144 |
| رقم الأكسشن: | edsarx.2002.11144 |
| قاعدة البيانات: | arXiv |
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