Abstract
We analyze the phases of supersymmetric chiral gauge theories with an anti-symmetric tensor and (anti)fundamental flavors, in the presence of a classically marginal superpotential deformation. Varying the number of flavors that appear in the superpoten-tial reveals rich infrared chiral dynamics and novel dualities. The dualities are characterized by an infinite family of magnetic duals with arbitrarily large gauge groups describing the same fixed point, correlated with arbitrarily large classical global symmetries that are truncated nonperturbatively. At the origin of moduli space, these theories exhibit a phase with confinement and chiral symmetry breaking, an interacting nonabelian Coulomb phase, and phases where an interacting sector coexists with a sector that either s-confines or is in a free magnetic phase. Properties of these intriguing “mixed phases” are studied in detail using duality and a-maximization, and the presence of superpotential interactions provides further insights into their formation.
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References
I. Affleck, M. Dine and N. Seiberg, Calculable nonperturbative supersymmetry breaking, Phys. Rev. Lett. 52 (1984) 1677 [INSPIRE].
I. Affleck, M. Dine and N. Seiberg, Dynamical supersymmetry breaking in four-dimensions and its phenomenological implications, Nucl. Phys. B 256 (1985) 557 [INSPIRE].
P. Pouliot, Chiral duals of nonchiral SUSY gauge theories, Phys. Lett. B 359 (1995) 108 [hep-th/9507018] [INSPIRE].
P. Pouliot and M.J. Strassler, Duality and dynamical supersymmetry breaking in Spin(10) with a spinor, Phys. Lett. B 375 (1996) 175 [hep-th/9602031] [INSPIRE].
P. Pouliot and M.J. Strassler, A chiral SU(N) gauge theory and its nonchiral spin(8) dual, Phys. Lett. B 370 (1996) 76 [hep-th/9510228] [INSPIRE].
P. Pouliot, Duality in SUSY SU(N) with an antisymmetric tensor, Phys. Lett. B 367 (1996) 151 [hep-th/9510148] [INSPIRE].
J. Terning, Duals for SU(N) SUSY gauge theories with an antisymmetric tensor: five easy flavors, Phys. Lett. B 422 (1998) 149 [hep-th/9712167] [INSPIRE].
C. Csáki, P. Meade and J. Terning, A mixed phase of SUSY gauge theories from a maximization, JHEP 04 (2004) 040 [hep-th/0403062] [INSPIRE].
K.A. Intriligator, R.G. Leigh and M.J. Strassler, New examples of duality in chiral and nonchiral supersymmetric gauge theories, Nucl. Phys. B 456 (1995) 567 [hep-th/9506148] [INSPIRE].
J.H. Brodie and M.J. Strassler, Patterns of duality in N = 1 SUSY gauge theories, or: seating preferences of theater going nonAbelian dualities, Nucl. Phys. B 524 (1998) 224 [hep-th/9611197] [INSPIRE].
K. Landsteiner, E. Lopez and D.A. Lowe, Duality of chiral N = 1 supersymmetric gauge theories via branes, JHEP 02 (1998) 007 [hep-th/9801002] [INSPIRE].
N. Seiberg, Exact results on the space of vacua of four-dimensional SUSY gauge theories, Phys. Rev. D 49 (1994) 6857 [hep-th/9402044] [INSPIRE].
N. Seiberg, Electric-magnetic duality in supersymmetric nonAbelian gauge theories, Nucl. Phys. B 435 (1995) 129 [hep-th/9411149] [INSPIRE].
K.A. Intriligator and N. Seiberg, Lectures on supersymmetric gauge theories and electric-magnetic duality, Nucl. Phys. Proc. Suppl. 45BC (1996) 1 [hep-th/9509066] [INSPIRE].
M. Berkooz, The dual of supersymmetric SU(2K) with an antisymmetric tensor and composite dualities, Nucl. Phys. B 452 (1995) 513 [hep-th/9505067] [INSPIRE].
N. Craig, R. Essig, A. Hook and G. Torroba, New dynamics and dualities in supersymmetric chiral gauge theories, JHEP 09 (2011) 046 [arXiv:1106.5051] [INSPIRE].
K.A. Intriligator and B. Wecht, The exact superconformal R symmetry maximizes a, Nucl. Phys. B 667 (2003) 183 [hep-th/0304128] [INSPIRE].
N. Craig, R. Essig, A. Hook and G. Torroba, SUSY breaking in chiral gauge theories, to appear.
K.A. Intriligator and P. Pouliot, Exact superpotentials, quantum vacua and duality in supersymmetric SP(N c ) gauge theories, Phys. Lett. B 353 (1995) 471 [hep-th/9505006] [INSPIRE].
M.A. Luty, M. Schmaltz and J. Terning, A sequence of duals for Sp(2N) supersymmetric gauge theories with adjoint matter, Phys. Rev. D 54 (1996) 7815 [hep-th/9603034] [INSPIRE].
D. Kutasov, A. Parnachev and D.A. Sahakyan, Central charges and U(1) R symmetries in N = 1 super Yang-Mills, JHEP 11 (2003) 013 [hep-th/0308071] [INSPIRE].
E. Barnes, K.A. Intriligator, B. Wecht and J. Wright, Evidence for the strongest version of the 4d a-theorem, via a-maximization along RG flows, Nucl. Phys. B 702 (2004) 131 [hep-th/0408156] [INSPIRE].
C. Romelsberger, Calculating the superconformal index and Seiberg duality, arXiv:0707.3702 [INSPIRE].
C. Romelsberger, Counting chiral primaries in N = 1, D = 4 superconformal field theories, Nucl. Phys. B 747 (2006) 329 [hep-th/0510060] [INSPIRE].
F.A. Dolan and H. Osborn, Applications of the superconformal index for protected operators and q-hypergeometric identities to N = 1 dual theories, Nucl. Phys. B 818 (2009) 137 [arXiv:0801.4947] [INSPIRE].
V.P. Spiridonov and G.S. Vartanov, Elliptic hypergeometry of supersymmetric dualities, Commun. Math. Phys. 304 (2011) 797 [arXiv:0910.5944] [INSPIRE].
V.P. Spiridonov and G.S. Vartanov, Elliptic hypergeometry of supersymmetric dualities II. Orthogonal groups, knots and vortices, arXiv:1107.5788 [INSPIRE].
P.C. Argyres and N. Seiberg, S-duality in N = 2 supersymmetric gauge theories, JHEP 12 (2007) 088 [arXiv:0711.0054] [INSPIRE].
F. Benini, Y. Tachikawa and B. Wecht, Sicilian gauge theories and N = 1 dualities, JHEP 01 (2010) 088 [arXiv:0909.1327] [INSPIRE].
M.J. Strassler and K.M. Zurek, Echoes of a hidden valley at hadron colliders, Phys. Lett. B 651 (2007) 374 [hep-ph/0604261] [INSPIRE].
J. Kang and M.A. Luty, Macroscopic strings and ‘quirks’ at colliders, JHEP 11 (2009) 065 [arXiv:0805.4642] [INSPIRE].
C. Kilic, T. Okui and R. Sundrum, Vectorlike confinement at the LHC, JHEP 02 (2010) 018 [arXiv:0906.0577] [INSPIRE].
N. Craig, D. Stolarski and J. Thaler, A fat Higgs with a magnetic personality, JHEP 11 (2011) 145 [arXiv:1106.2164] [INSPIRE].
A. Azatov, J. Galloway and M.A. Luty, Superconformal technicolor: models and phenomenology, arXiv:1106.4815 [INSPIRE].
T. Gherghetta and A. Pomarol, A distorted MSSM Higgs sector from low-scale strong dynamics, arXiv:1107.4697 [INSPIRE].
J.J. Heckman, P. Kumar, C. Vafa and B. Wecht, Electroweak symmetry breaking in the DSSM, arXiv:1108.3849 [INSPIRE].
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ArXiv ePrint: 1110.5905
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Craig, N., Essig, R., Hook, A. et al. Phases of N=1 supersymmetric chiral gauge theories. J. High Energ. Phys. 2011, 74 (2011). https://doi.org/10.1007/JHEP12(2011)074
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DOI: https://doi.org/10.1007/JHEP12(2011)074