Talk title: Anomalies and Tadpoles in open/closed string duality
Abstract:
In this talk we discuss the role played by the divergences appearing in the
interaction between a fractional D3 brane dressed with an SU(N) gauge field and
a stack of N fractional D3 branes on the orbifolds C^2/Z_2 and C^3/(Z_2 x Z_2).
In particular we show that the logarithmic divergences in the closed string
channel, interpreted as due to twisted massless tadpoles, are mapped, under
open/closed string duality, in the logarithmic ones in the open string channel,
due to the massless states circulating in the annulus diagram. Hence one can
infer the chiral and scale anomalies of the supersymmetric and
non conformal gauge theories living on the world-volume of the branes
from their dual supergravity solutions. Finally we show preliminary results
in the case of non-supersymmetric gauge theories.