Cotangent bundles over all the Hermitian symmetric spaces

Masato Arai, Kurando Baba

Research output: Contribution to journalConference articlepeer-review

Abstract

We construct the N = 2 supersymmetric nonlinear sigma models on the cotangent bundles over all the compact and non-compact Hermitian symmetric spaces. In order to construct them we use the projective superspace formalism which is an N = 2 off-shell superfield formulation in four-dimensional space-time. This formalism allows us to obtain the explicit expression of N = 2 supersymmetric nonlinear sigma models on the cotangent bundles over any Hermitian symmetric spaces in terms of the N =1 superfields, once the Kahler potentials of the base manifolds are obtained. Starting with N = 1 supersymmetric Kahler nonlinear sigma models on the Hermitian symmetric spaces, we extend them into the N = 2 supersymmetric models by using the projective superspace formalism and derive the general formula for the cotangent bundles over all the compact and non-compact Hermitian symmetric spaces. We apply to the formula for the non-compact Hermitian symmetric space E7/E6 × U(1)1.

Original languageEnglish
Article number012005
JournalJournal of Physics: Conference Series
Volume670
Issue number1
DOIs
Publication statusPublished - 25 Jan 2016
Event23rd International Conference on Integrable Systems and Quantum Symmetries, ISQS 2015 - Prague, Czech Republic
Duration: 23 Jun 201527 Jun 2015

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