Cotangent bundle over Hermitian symmetric space $E_7/E_6\times U(1)$ from projective superspace

Abstract

We construct an $\mathcal{N}$ supersymmetric sigma model on the cotangent bundle over the Hermitian symmetric space $E_7/(E_6\times U(1))$ in the projective superspace formalism, which is a manifest $\mathcal{N}=2$ off-shell superfield formulation in four-dimensional spacetime. To obtain this model we elaborate on results developed in arXiv:0811.0218 and present a new closed formula for the cotangent bundle action, which is valid for all Hermitian symmetric spaces. We show that the structure of cotangent bundle action is intimately related to the analytic structure of the Kähler potential with respect to a uniform rescaling of coordinates.

19 pages, different Latex style is used. English corrected, arXiv admin note: text overlap with arXiv:0709.2633

References in corpus (5)

• On superconformal projective hypermultiplets
• Hyper-Kahler Sigma Models on (Co)tangent Bundles with SO(n) isometry
• Hyperkahler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace
• Polar supermultiplets, Hermitian symmetric spaces and hyperkahler metrics
• Chiral formulation for hyperkaehler sigma-models on cotangent bundles of symmetric spaces

Cited by in corpus (2)

• Revisiting Atiyah-Hitchin manifold in the generalized Legendre transform
• Supersymmetry and Cotangent Bundle over Non-compact Exceptional Hermitian Symmetric Space