Abstract
Using the algebraic geometry method of Berenstein and Leigh (BL) (hep-th/0009209 and hep-th/0105229), and considering singular toric varieties Vd+1 with NC irrational torus fibration, we construct NC extensions Mdnc of complex d dimension Calabi–Yau (CY) manifolds embedded in Vd+1nc. We give realizations of the NC C∗r toric group, derive the constraint equations for NC Calabi–Yau (NCCY) manifolds Mncd embedded in Vd+1nc and work out solutions for their generators. We study fractional D branes at singularities and show that, due to the complete reducibility property of C∗r group representations, there is an infinite number of noncompact fractional branes at fixed points of the NC toric group.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
