The Duality Cascade

By M. Strassler. 2005

178 citations recorded by the source corpus.

The duality cascade, and its dual description as string theory on the warped deformed conifold, brings together several sophisticated topics, some of which are not widely known. These lectures, which contain a number of previously unpublished results, and are intended for experts as well as students, seek to explain the physics of duality cascades. Seiberg duality is carefully introduced, with detailed attention to the physical implications of duality away from the far infrared. The conifold is briefly introduced and strings on the conifold (the Klebanov-Witten model) are discussed. Next, fractional branes are introduced. The duality cascade is then constructed in field theory and in its dual supergravity description. Among the newly published results: it is shown why supergravity sees the cascade as smooth; how the two holomorphic couplings (dilaton and integrated two-form in supergravity) are related to the three physical couplings in the gauge theory; that there are actually twice as many approximate fixed points in the cascade as might be naively expected. These notes are based on lectures given at TASI 2003 and at the 2003 PIMS Summer School on Strings, Gravity & Cosmology.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/020f417eeeb041eeb356ee8f79a041888269b880

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In Astronomy and Astrophysics

1. D. Thompson
2. K. Sfetsos
3. C. Nuñez
4. G. Itsios
5. I. Klebanov
6. Anatoly Dymarsky
7. N. Seiberg
8. Angel Paredes

In Nuclear and High Energy Physics

1. D. Thompson
2. C. Nuñez
3. K. Sfetsos
4. Angel Paredes
5. I. Klebanov
6. G. Itsios
7. Anatoly Dymarsky
8. N. Seiberg

Citations in the corpus

• Unquenched Flavor in the Gauge/Gravity Correspondence (2010, background): “Strictly speaking, these formulae need to be corrected for small values of the gauge couplings and are only valid in the large ’t Hooft coupling regime (see [120, 106, 63]), which is the case under consideration.”
• D-brane charges in gravitational duals of 2 + 1 dimensional gauge theories and duality cascades (2009, unknown): “(19)The picture of different ways to connect brane configurations on a circle, leading to different dimensional moduli spaces, may also be applied to the Klebanov-Strassler cascade [13,49,50].”
• On the moduli space of the cascading SU(M+p) ? SU(p) gauge theory (2005, background): “For small gsM the spacing between cascade steps is large [5], corresponding to the ‘choppy’ RG flow discussed in detail in [11].”
• Towards the string dual of N=1 SQCD-like theories (2006, methodology): “ quartic superpotential has a one complex-dimensional family of marginal deformations in the two complex-dimensional parameter space of the gauge coupling and of the coupling of the quartic term (see [45]). The parameter ξchanges the volume of the spheres (4.22) so it is natural to think that it wou”
• Non-Abelian T-duality and the AdS/CFT correspondence: New N=1 backgrounds (2013, background): “heory to be SU(N) SU(N + M), hence no longer conformal. In fact this theory has a rich RG dynamics undergoing a sequence of Seiberg dualities to lower rank gauge groups as one proceeds to the IR (see [60] for a careful summary). In the IR, strong coupling dynamics takes hold giving rise to spontaneo”