N=2 supersymmetric RG flows and the IIB dilaton
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We show that there is a non-trivial relationship between the dilaton of IIB supergravity, and the coset of scalar fields in five-dimensional, gauged N=8 supergravity. This has important consequences for the running of the gauge coupling in massive perturbations of the AdS/CFT correspondence. We conjecture an exact analytic expression for the ten-dimensional dilaton in terms of five-dimensional quantities, and we test this conjecture. Specifically, we construct a family of solutions to IIB supergravity that preserve half of the supersymmetries, and are lifts of supersymmetric flows in five-dimensional, gauged N=8 supergravity. Via the AdS/CFT correspondence these flows correspond to softly broken N=4, large N Yang–Mills theory on part of the Coulomb branch of N=2 supersymmetric Yang–Mills. Our solutions involve non-trivial backgrounds for all the tensor gauge fields as well as for the dilaton and axion.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/d6837aa99bfa7f5a7eefd613642e7d5bacb659c1
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Citations in the corpus
- An N =2 Supersymmetric Membrane Flow (2001, background): “One feels that the half-maximal supersymmetric flows (such as that of [40]) should have a particularly simple geometric characterization.”
- Holography and hydrodynamics: Diffusion on stretched horizons (2003, methodology): “The solution is a non-extremal generalization of the Pilch-Warner RG flow [20] describing the mass deformation of the N = 4 SYM by a hypermultiplet term.”
- Introduction to Gauge/Gravity Duality (2010, background): “The supergravity magic allows this to be lifted to a ten-dimensional solution which is now singular, but the singularities have a nice interpretation: they are just N D3branes [36, 37].”
- Sound waves in strongly coupled non-conformal gauge theory plasma (2005, methodology): “of the full ten-dimensional supergravity background of Pilch and Warner [ 28 ] allows”
- Mesons in gauge/gravity duals (2007, background): “For example, a flow to an N = 2 theory can be found by giving equal mass to four of the six scalars and two of the four gauginos of the N = 4 theory [58, 59, 60].”