Abstract
We revisit a one-parameter family of three-dimensional gauge theories with known supergravity duals. We show that three infrared behaviors are possible. For generic values of the parameter, the theories exhibit a mass gap but no confinement, meaning no linear quark-antiquark potential; for one limiting value of the parameter the theory flows to an infrared fixed point; and for another limiting value it exhibits both a mass gap and confinement. Theories close to these limiting values exhibit quasi-conformal and quasi-confining dynamics, respectively. Eleven-dimensional supergravity provides a simple, geometric explanation of these features.
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References
M. Cvetič, G.W. Gibbons, H. Lü and C.N. Pope, New cohomogeneity one metrics with spin(7) holonomy, J. Geom. Phys. 49 (2004) 350 [math/0105119] [INSPIRE].
A. Loewy and Y. Oz, Branes in special holonomy backgrounds, Phys. Lett. B 537 (2002) 147 [hep-th/0203092] [INSPIRE].
A. Hashimoto, S. Hirano and P. Ouyang, Branes and fluxes in special holonomy manifolds and cascading field theories, JHEP 06 (2011) 101 [arXiv:1004.0903] [INSPIRE].
I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: Duality cascades and chi SB resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [INSPIRE].
O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv:0806.1218] [INSPIRE].
M. Cvetič, G.W. Gibbons, H. Lü and C.N. Pope, New complete noncompact spin(7) manifolds, Nucl. Phys. B 620 (2002) 29 [hep-th/0103155] [INSPIRE].
H. Ooguri and C.-S. Park, Superconformal Chern-Simons Theories and the Squashed Seven Sphere, JHEP 11 (2008) 082 [arXiv:0808.0500] [INSPIRE].
R. Bryand and S. Salamon, On the construction of some complete metrices with expectional holonomy, Duke Math. J. 58 (1989) 829 [INSPIRE].
G.W. Gibbons, D.N. Page and C.N. Pope, Einstein Metrics on S 3 \( {\mathbb{R}}^3 \) and \( {\mathbb{R}}^4 \) Bundles, Commun. Math. Phys. 127 (1990) 529 [INSPIRE].
N. Itzhaki, J.M. Maldacena, J. Sonnenschein and S. Yankielowicz, Supergravity and the large-N limit of theories with sixteen supercharges, Phys. Rev. D 58 (1998) 046004 [hep-th/9802042] [INSPIRE].
E. Conde and A.V. Ramallo, On the gravity dual of Chern-Simons-matter theories with unquenched flavor, JHEP 07 (2011) 099 [arXiv:1105.6045] [INSPIRE].
A.F. Faedo, D. Mateos and J. Tarrio, Three-dimensional super Yang-Mills with unquenched flavor, JHEP 07 (2015) 056 [arXiv:1505.00210] [INSPIRE].
M. Cvetič, H. Lü and C.N. Pope, Brane resolution through transgression, Nucl. Phys. B 600 (2001) 103 [hep-th/0011023] [INSPIRE].
M. Cvetič, G.W. Gibbons, H. Lü and C.N. Pope, Supersymmetric nonsingular fractional D-2 branes and NS-NS 2 branes, Nucl. Phys. B 606 (2001) 18 [hep-th/0101096] [INSPIRE].
D. Marolf, Chern-Simons terms and the three notions of charge, hep-th/0006117 [INSPIRE].
O. Aharony, A. Hashimoto, S. Hirano and P. Ouyang, D-brane Charges in Gravitational Duals of 2 + 1 Dimensional Gauge Theories and Duality Cascades, JHEP 01 (2010) 072 [arXiv:0906.2390] [INSPIRE].
E. Witten, Supersymmetric index of three-dimensional gauge theory, in The many faces of the superworld, M.A. Shifman eds., World Scientific, New York U.S.A. (2000) [hep-th/9903005] [INSPIRE].
J.M. Maldacena and H.S. Nastase, The Supergravity dual of a theory with dynamical supersymmetry breaking, JHEP 09 (2001) 024 [hep-th/0105049] [INSPIRE].
D. Cassani and A.-K. Kashani-Poor, Exploiting N = 2 in consistent coset reductions of type IIA, Nucl. Phys. B 817 (2009) 25 [arXiv:0901.4251] [INSPIRE].
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ArXiv ePrint: 1702.05988
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Faedo, A.F., Mateos, D., Pravos, D. et al. Mass gap without confinement. J. High Energ. Phys. 2017, 153 (2017). https://doi.org/10.1007/JHEP06(2017)153
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DOI: https://doi.org/10.1007/JHEP06(2017)153