Ústav technické a experimentální fyziky Institute of Experimental and Applied Physics

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

NázevTitle
Cotangent bundle over Hermitian symmetric space $E_7/E_6 times U(1)$ from projective superspaceCotangent bundle over Hermitian symmetric space $E_7/E_6 times U(1)$ from projective superspace
Druh výsledkuResult type
Ostatní výsledekOther result
AutořiAuthors
M. Arai, F. Blaschke
Časopis / citaceJournal / citation
arXiv.org. 2012, hep-th/11(11),
RokYear
2012
JazykLanguage
eng
RIVRIV
RIV/68407700:21670/12:00201967!RIV13-MSM-21670___
ProjektProject
Supersymetrie v teoriích pole a strun a ve fyzice za Standardním modelemSupersymmetry in field and string theories and in physics beyond the Standard Model; Mezinárodní experiment ATLAS-CERNInternational Experiment ATLAS-CERN

AbstraktAbstract

We construct an $cN=2$ supersymmetric sigma model on the cotangent bundle over the Hermitian symmetric space $E_7/(E_6times U(1))$ in the projective superspace formalism, which is a manifest $cN=2$ 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 K"ahler potential with respect to a uniform rescaling of coordinates.

We construct an $cN=2$ supersymmetric sigma model on the cotangent bundle over the Hermitian symmetric space $E_7/(E_6times U(1))$ in the projective superspace formalism, which is a manifest $cN=2$ 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 K"ahler potential with respect to a uniform rescaling of coordinates.