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D-branes: perturbative and non-perturbative applications to SUSY gauge theories
Alberto Lerda - Università del Piemonte Orientale
Marco Billò - Università di Torino
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In these lectures we discuss the general properties of D-branes and their
applications in the study of supersymmetric gauge theories.
We focus in particular on SQCD-like models with N=2 supersymmetry realized with D-branes
on top of orientifold planes, and analyze both their perturbative and non-perturbative
features. We also discuss the role of D-instantons in these models and their relation
to gauge instantons, and provide a general introduction to the stringy
realization of the multi-instanton calculus and localization techniques.
Finally we briefly discuss extensions to less supersymmetric configurations and
other ``exotic'' effects. |
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The plan of the course is (time permitting):
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Part I
Introduction to D-branes;
D-branes as non-perturbative supergravity solutions;
Open strings with generalized boundary conditions;
Systems of magnetized and intersecting branes;
D-branes in orbifolds and orientifolds:
SYM theories with N=2 and N=1 supersymmetry
N=2 SQCD realized with D3 and D7 branes on top of O7 planes:
massless spectrum and 1-loop amplitudes.
Part II
D-instantons and their relation to gauge instantons;
D-instantons in the D3/D7/O7 system: Supersymmetries, moduli spectrum and ADHM constraints;
Instanton calculus in the string realization;
The non-perturbative prepotential of N=2 SQCD at 1-instanton;
Localization techniques for higher instanton numbers;
Extension to less supersymmetric cases:
N=1 SQCD realized via a quiver and the ADS superpotential;
Brief discussion of other non-perturbative effects in D-brane models:
(compactified) euclidean p-branes, ``exotic'' (or ``stringy'') instantons.
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Bibliography:
J. Polchinski, TASI Lectures on D-branes [arXiv:hep-th/9611050]
C. Angelantonj and A. Sagnotti, Open strings, Phys. Rept. 371 (2002) 1 [arXiv:hep-th/0204089]
M. Bertolini, M. Billò, A. Lerda, J.F. Morales and R. Russo, Brane world effective actions for D-branes with fluxes,
Nucl. Phys. B743 (2006) 1 [arXiv:hep-th/0512067]
M. Billò, M. Frau, I. Pesando, F. Fucito, A. Lerda and A. Liccardo, Classical gauge instantons from open strings, JHEP 0302 (2003) 045 [arXiv:hep-th/0211250]
M. Billò, L. Ferro, M. Frau, L. Gallot, A. Lerda and I. Pesando, Exotic instanton counting and heterotic/type I' duality, JHEP 0907 (2009) 092 [arXiv:0905.4586 [hep-th]]
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