Abstract
We study the mass spectrum of spin-0 and spin-2 composite states in a one-parameter family of three-dimensional field theories by making use of their dual descriptions in terms of supergravity. These theories exhibit a mass gap despite being non-confining, and by varying a parameter can be made to flow arbitrarily close to an IR fixed point corresponding to the Ooguri-Park conformal field theory. At the opposite end of parameter space, the dynamics becomes quasi-confining. The glueball spectrum interpolates between these two limiting cases and, for nearly conformal dynamics, approaches the result of the Ooguri-Park theory deformed by both sources and VEVs. In order to elucidate under which circumstances quasi-conformal dynamics leads to the presence of a light pseudo-dilaton, we perform a study of the dependence of the spectrum on the position of a hard-wall IR cutoff and find that, in the present case, the mass of such state is lifted by deep-IR effects.
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References
J.M. Maldacena, The large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [hep-th/9711200] [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
A. Butti, M. Graña, R. Minasian, M. Petrini and A. Zaffaroni, The baryonic branch of Klebanov-Strassler solution: a supersymmetric family of SU(3) structure backgrounds, JHEP 03 (2005) 069 [hep-th/0412187] [INSPIRE].
C. Núñez, I. Papadimitriou and M. Piai, Walking dynamics from string duals, Int. J. Mod. Phys. A 25 (2010) 2837 [arXiv:0812.3655] [INSPIRE].
D. Elander, J. Gaillard, C. Núñez and M. Piai, Towards multi-scale dynamics on the baryonic branch of Klebanov-Strassler, JHEP 07 (2011) 056 [arXiv:1104.3963] [INSPIRE].
D. Elander, A.F. Faedo, C. Hoyos, D. Mateos and M. Piai, Multiscale confining dynamics from holographic RG flows, JHEP 05 (2014) 003 [arXiv:1312.7160] [INSPIRE].
V. Gorbenko, S. Rychkov and B. Zan, Walking, weak first-order transitions and complex CFTs, JHEP 10 (2018) 108 [arXiv:1807.11512] [INSPIRE].
M. Bianchi, M. Prisco and W. Mueck, New results on holographic three point functions, JHEP 11 (2003) 052 [hep-th/0310129] [INSPIRE].
M. Berg, M. Haack and W. Mueck, Bulk dynamics in confining gauge theories, Nucl. Phys. B 736 (2006) 82 [hep-th/0507285] [INSPIRE].
M. Berg, M. Haack and W. Mueck, Glueballs vs. gluinoballs: fluctuation spectra in non-AdS/non-CFT, Nucl. Phys. B 789 (2008) 1 [hep-th/0612224] [INSPIRE].
D. Elander, Glueball spectra of SQCD-like theories, JHEP 03 (2010) 114 [arXiv:0912.1600] [INSPIRE].
D. Elander and M. Piai, Light scalars from a compact fifth dimension, JHEP 01 (2011) 026 [arXiv:1010.1964] [INSPIRE].
J.M. Maldacena and C. Núñez, Towards the large N limit of pure N = 1 super Yang-Mills, Phys. Rev. Lett. 86 (2001) 588 [hep-th/0008001] [INSPIRE].
A.H. Chamseddine and M.S. Volkov, Non-Abelian BPS monopoles in N = 4 gauged supergravity, Phys. Rev. Lett. 79 (1997) 3343 [hep-th/9707176] [INSPIRE].
I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: duality cascades and χSB resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [INSPIRE].
D. Elander, C. Núñez and M. Piai, A light scalar from walking solutions in gauge-string duality, Phys. Lett. B 686 (2010) 64 [arXiv:0908.2808] [INSPIRE].
D. Elander and M. Piai, On the glueball spectrum of walking backgrounds from wrapped-D5 gravity duals, Nucl. Phys. B 871 (2013) 164 [arXiv:1212.2600] [INSPIRE].
D. Elander, Light scalar from deformations of the Klebanov-Strassler background, Phys. Rev. D 91 (2015) 126012 [arXiv:1401.3412] [INSPIRE].
D. Elander and M. Piai, Calculable mass hierarchies and a light dilaton from gravity duals, Phys. Lett. B 772 (2017) 110 [arXiv:1703.09205] [INSPIRE].
D. Elander and M. Piai, Glueballs on the baryonic branch of Klebanov-Strassler: dimensional deconstruction and a light scalar particle, JHEP 06 (2017) 003 [arXiv:1703.10158] [INSPIRE].
S.P. Kumar, D. Mateos, A. Paredes and M. Piai, Towards holographic walking from N = 4 super Yang-Mills, JHEP 05 (2011) 008 [arXiv:1012.4678] [INSPIRE].
L. Anguelova, Electroweak symmetry breaking from gauge/gravity duality, Nucl. Phys. B 843 (2011) 429 [arXiv:1006.3570] [INSPIRE].
L. Anguelova, P. Suranyi and L.C.R. Wijewardhana, Holographic walking technicolor from D-branes, Nucl. Phys. B 852 (2011) 39 [arXiv:1105.4185] [INSPIRE].
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].
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].
A.F. Faedo, D. Mateos, D. Pravos and J.G. Subils, Mass gap without confinement, JHEP 06 (2017) 153 [arXiv:1702.05988] [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].
H. Ooguri and C.-S. Park, Superconformal Chern-Simons theories and the squashed seven sphere, JHEP 11 (2008) 082 [arXiv:0808.0500] [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, Supersymmetric nonsingular fractional D2 branes and NS-NS2 branes, Nucl. Phys. B 606 (2001) 18 [hep-th/0101096] [INSPIRE].
A. Loewy and Y. Oz, Branes in special holonomy backgrounds, Phys. Lett. B 537 (2002) 147 [hep-th/0203092] [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].
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 R 3 and R 4 bundles, Commun. Math. Phys. 127 (1990) 529 [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].
D. Cassani and P. Koerber, Tri-Sasakian consistent reduction, JHEP 01 (2012) 086 [arXiv:1110.5327] [INSPIRE].
A. Athenodorou et al., Large mass hierarchies from strongly-coupled dynamics, JHEP 06 (2016) 114 [arXiv:1605.04258] [INSPIRE].
D. Elander, R. Lawrance and M. Piai, Hyperscaling violation and electroweak symmetry breaking, Nucl. Phys. B 897 (2015) 583 [arXiv:1504.07949] [INSPIRE].
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Elander, D., Faedo, A.F., Mateos, D. et al. Mass spectrum of gapped, non-confining theories with multi-scale dynamics. J. High Energ. Phys. 2019, 175 (2019). https://doi.org/10.1007/JHEP05(2019)175
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DOI: https://doi.org/10.1007/JHEP05(2019)175