Abstract
We study the vacuum structure of three-dimensional SU(N ) gauge theory coupled to a Chern-Simons term at level k and to F fundamental Dirac fermions. We use a large N holographic description based on a D3/D7 system in type IIB string theory compactified on a supersymmetry breaking circle. The multiple vacua of the theory and the transitions between them are nicely captured by the dual holographic background. The resulting phase diagram, which we derive both at leading and first subleading orders in the 1/N expansion, shows a rich structure where topological field theories, non-linear sigma models and first-order phase transitions appear.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
O. Aharony, G. Gur-Ari and R. Yacoby, d = 3 bosonic vector models coupled to Chern-Simons gauge theories, JHEP 03 (2012) 037 [arXiv:1110.4382] [INSPIRE].
S. Giombi, S. Minwalla, S. Prakash, S.P. Trivedi, S.R. Wadia and X. Yin, Chern-Simons theory with vector fermion matter, Eur. Phys. J. C 72 (2012) 2112 [arXiv:1110.4386] [INSPIRE].
O. Aharony, G. Gur-Ari and R. Yacoby, Correlation functions of large N Chern-Simons-matter theories and bosonization in three dimensions, JHEP 12 (2012) 028 [arXiv:1207.4593] [INSPIRE].
G. Gur-Ari and R. Yacoby, Correlators of large N fermionic Chern-Simons vector models, JHEP 02 (2013) 150 [arXiv:1211.1866] [INSPIRE].
O. Aharony, S. Giombi, G. Gur-Ari, J. Maldacena and R. Yacoby, The thermal free energy in large N Chern-Simons-matter theories, JHEP 03 (2013) 121 [arXiv:1211.4843] [INSPIRE].
S. Jain, S. Minwalla, T. Sharma, T. Takimi, S.R. Wadia and S. Yokoyama, Phases of large N vector Chern-Simons theories on S2 × S1 , JHEP 09 (2013) 009 [arXiv:1301.6169] [INSPIRE].
S. Jain, S. Minwalla and S. Yokoyama, Chern Simons duality with a fundamental boson and fermion, JHEP 11 (2013) 037 [arXiv:1305.7235] [INSPIRE].
O. Aharony, Baryons, monopoles and dualities in Chern-Simons-matter theories, JHEP 02 (2016) 093 [arXiv:1512.00161] [INSPIRE].
P.-S. Hsin and N. Seiberg, Level/rank Duality and Chern-Simons-Matter Theories, JHEP 09 (2016) 095 [arXiv:1607.07457] [INSPIRE].
T. Appelquist, D. Nash and L.C.R. Wijewardhana, Critical behavior in (2 + 1)-dimensional QED, Phys. Rev. Lett. 60 (1988) 2575 [INSPIRE].
T. Appelquist and D. Nash, Critical behavior in (2 + 1)-dimensional QCD, Phys. Rev. Lett. 64 (1990) 721 [INSPIRE].
Z. Komargodski and N. Seiberg, A symmetry breaking scenario for QCD3 , JHEP 01 (2018) 109 [arXiv:1706.08755] [INSPIRE].
A. Armoni, T.T. Dumitrescu, G. Festuccia and Z. Komargodski, Metastable vacua in large-N QCD3 , JHEP 01 (2020) 004 [arXiv:1905.01797] [INSPIRE].
S.R. Coleman and E. Witten, Chiral symmetry breakdown in large N chromodynamics, Phys. Rev. Lett. 45 (1980) 100 [INSPIRE].
G. Ferretti, S.G. Rajeev and Z. Yang, The effective lagrangian of three-dimensional quantum chromodynamics, Int. J. Mod. Phys. A 7 (1992) 7989 [hep-th/9204075] [INSPIRE].
G. Ferretti, S.G. Rajeev and Z. Yang, Baryons as solitons in three-dimensional quantum chromodynamics, Int. J. Mod. Phys. A 7 (1992) 8001 [hep-th/9204076] [INSPIRE].
O. Aharony, T. T. Dumitrescu and Z. Komargodski, work in progress.
A. Armoni and V. Niarchos, Phases of QCD3 from non-SUSY Seiberg Duality and Brane Dynamics, Phys. Rev. D 97 (2018) 106001 [arXiv:1711.04832] [INSPIRE].
M. Akhond, A. Armoni and S. Speziali, Phases of U (Nc ) QCD3 from type 0 strings and Seiberg duality, JHEP 09 (2019) 111 [arXiv:1908.04324] [INSPIRE].
S.-J. Rey, String theory on thin semiconductors: holographic realization of Fermi points and surfaces, Prog. Theor. Phys. Suppl. 177 (2009) 128 [arXiv:0911.5295] [INSPIRE].
D.K. Hong and H.-U. Yee, Holographic aspects of three dimensional QCD from string theory, JHEP 05 (2010) 036 [Erratum ibid. 08 (2010) 120] [arXiv:1003.1306] [INSPIRE].
O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [INSPIRE].
E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131] [INSPIRE].
M. Fujita, W. Li, S. Ryu and T. Takayanagi, Fractional quantum Hall effect via holography: Chern-Simons, edge states and hierarchy, JHEP 06 (2009) 066 [arXiv:0901.0924] [INSPIRE].
T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113 (2005) 843 [hep-th/0412141] [INSPIRE].
M. Fujita, C.M. Melby-Thompson, R. Meyer and S. Sugimoto, Holographic Chern-Simons defects, JHEP 06 (2016) 163 [arXiv:1601.00525] [INSPIRE].
A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP 06 (2002) 043 [hep-th/0205236] [INSPIRE].
M. Kruczenski, D. Mateos, R.C. Myers and D.J. Winters, Towards a holographic dual of large Nc QCD, JHEP 05 (2004) 041 [hep-th/0311270] [INSPIRE].
K. Jensen and A. Karch, Embedding three-dimensional bosonization dualities into string theory, JHEP 12 (2017) 031 [arXiv:1709.07872] [INSPIRE].
D. Kutasov, J. Lin and A. Parnachev, Conformal phase transitions at weak and strong coupling, Nucl. Phys. B 858 (2012) 155 [arXiv:1107.2324] [INSPIRE].
C. Kristjansen and G.W. Semenoff, The D3-probe-D7 brane holographic fractional topological insulator, JHEP 10 (2016) 079 [arXiv:1604.08548] [INSPIRE].
P. Breitenlohner and D.Z. Freedman, Stability in gauged extended supergravity, Annals Phys. 144 (1982) 249 [INSPIRE].
D. Kutasov, J. Lin and A. Parnachev, Holographic walking from tachyon DBI, Nucl. Phys. B 863 (2012) 361 [arXiv:1201.4123] [INSPIRE].
A.W. Peet and J. Polchinski, UV/IR relations in AdS dynamics, Phys. Rev. D 59 (1999) 065011 [hep-th/9809022] [INSPIRE].
C. Vafa and E. Witten, Parity conservation in QCD, Phys. Rev. Lett. 53 (1984) 535 [INSPIRE].
C. Vafa and E. Witten, Eigenvalue inequalities for fermions in gauge theories, Commun. Math. Phys. 95 (1984) 257 [INSPIRE].
C. Vafa and E. Witten, Restrictions on symmetry breaking in vector-like gauge theories, Nucl. Phys. B 234 (1984) 173.
E. Witten, Theta dependence in the large N limit of four-dimensional gauge theories, Phys. Rev. Lett. 81 (1998) 2862 [hep-th/9807109] [INSPIRE].
D. Gaiotto, A. Kapustin, Z. Komargodski and N. Seiberg, Theta, time reversal and temperature, JHEP 05 (2017) 091 [arXiv:1703.00501] [INSPIRE].
D. Gaiotto, Z. Komargodski and N. Seiberg, Time-reversal breaking in QCD4 , walls and dualities in 2 + 1 dimensions, JHEP 01 (2018) 110 [arXiv:1708.06806] [INSPIRE].
N. Kan, R. Kitano, S. Yankielowicz and R. Yokokura, From 3d dualities to hadron physics, arXiv:1909.04082 [INSPIRE].
Q. Bonnefoy, E. Dudas and S. Lüst, On the weak gravity conjecture in string theory with broken supersymmetry, Nucl. Phys. B 947 (2019) 114738 [arXiv:1811.11199] [INSPIRE].
R. Argurio, M. Bertolini, F. Mignosa and P. Niro, Charting the phase diagram of QCD3 , JHEP 08 (2019) 153 [arXiv:1905.01460] [INSPIRE].
A. Baumgartner, Flavor broken QCD3 at large N , arXiv:2005.11339 [INSPIRE].
R. Argurio, M. Bertolini, F. Bigazzi, A.L. Cotrone and P. Niro, QCD domain walls, Chern-Simons theories and holography, JHEP 09 (2018) 090 [arXiv:1806.08292] [INSPIRE].
D.B. Kaplan, J.-W. Lee, D.T. Son and M.A. Stephanov, Conformality lost, Phys. Rev. D 80 (2009) 125005 [arXiv:0905.4752] [INSPIRE].
K. Jensen, A. Karch, D.T. Son and E.G. Thompson, Holographic Berezinskii-Kosterlitz-Thouless transitions, Phys. Rev. Lett. 105 (2010) 041601 [arXiv:1002.3159] [INSPIRE].
N. Iqbal, H. Liu, M. Mezei and Q. Si, Quantum phase transitions in holographic models of magnetism and superconductors, Phys. Rev. D 82 (2010) 045002 [arXiv:1003.0010] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2006.01755
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Argurio, R., Armoni, A., Bertolini, M. et al. Vacuum structure of large N QCD3 from holography. J. High Energ. Phys. 2020, 134 (2020). https://doi.org/10.1007/JHEP07(2020)134
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2020)134