Anomalies and Tadpoles in Open/Closed String Duality

Details Anomalies and Tadpoles in Open/Closed String Duality Anomalies and Tadpoles in Open/Closed String Duality

2003-12-22

arxiv.org/abs/hep-th/0312248v1

Class.Quant.Grav. 21 (2004) S1433-1440

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 8 pages. Contribution to the proceedings of the workshop of the RTN Network "The quantum structure of space-time and th

Scientific paper

10.1088/0264-9381/21/10/015

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 and corresponding to the one-loop divergences that one finds in the gauge theory living in the world volume of the brane. This result provides a quantitative evidence of why the chiral and scale anomalies of the supersymmetric and non conformal gauge theories supported by the world volume of the branes can be inferred from supergravity calculations.

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