Abstract
We study fractional branes in N=2 orbifold and N=1 conifold theories. Placing a large number N of regular D3-branes at the singularity produces the dual AdS5×X5 geometry, and we describe the fractional branes as small perturbations to this background. For the orbifolds, X5=S5/Γ and fractional D3-branes excite complex scalars from the twisted sector which are localized on the fixed circle of X5. The resulting solutions are given by holomorphic functions and the field-theoretic beta-function is simply reproduced. For N regular and M fractional D3-branes at the conifold singularity we find a non-conformal N=1 supersymmetric SU(N+M)×SU(N) gauge theory. The dual Type IB background is AdS5×T1,1 with NS–NS and R–R 2-form fields turned on. This dual description reproduces the logarithmic flow of couplings found in the field theory.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.