Abstract
We propose an embedding of U(Nc) QCD3 with a Chern-Simons term in string theory. The UV gauge theory lives on the worldvolume of a Hanany-Witten brane configuration in type 0B string theory in the presence of Sagnotti’s O′3 orientifold. We use the brane configuration to propose a magnetic Seiberg dual. We identify various phases of the magnetic theory with conjectured phases of QCD3. In particular the symmetry breaking and bosonization phases are both associated with condensation of the dual squark field. We also discuss the abelian theory without Chern-Simons term and argue that flavour symmetry is not broken. Finally, we also predict novel type 0B string dynamics from QCD dynamics.
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, JHEP03 (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, Baryons, monopoles and dualities in Chern-Simons-matter theories, JHEP02 (2016) 093 [arXiv:1512.00161] [INSPIRE].
P.-S. Hsin and N. Seiberg, Level/rank duality and Chern-Simons-matter theories, JHEP09 (2016) 095 [arXiv:1607.07457] [INSPIRE].
A. Karch and D. Tong, Particle-vortex duality from 3d bosonization, Phys. Rev.X 6 (2016) 031043 [arXiv:1606.01893] [INSPIRE].
J. Murugan and H. Nastase, Particle-vortex duality in topological insulators and asuperconductors, JHEP05 (2017) 159 [arXiv:1606.01912] [INSPIRE].
Z. Komargodski and N. Seiberg, A symmetry breaking scenario for QCD 3, JHEP01 (2018) 109 [arXiv:1706.08755] [INSPIRE].
A. Armoni, T.T. Dumitrescu, G. Festuccia and Z. Komargodski, Metastable vacua in large-N QCD 3, arXiv:1905.01797 [INSPIRE].
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].
K. Jensen and A. Karch, Embedding three-dimensional bosonization dualities into string theory, JHEP12 (2017) 031 [arXiv:1709.07872] [INSPIRE].
R. Argurio, M. Bertolini, F. Bigazzi, A.L. Cotrone and P. Niro, QCD domain walls, Chern-Simons theories and holography, JHEP09 (2018) 090 [arXiv:1806.08292] [INSPIRE].
S. Kachru, M. Mulligan, G. Torroba and H. Wang, Nonsupersymmetric dualities from mirror symmetry, Phys. Rev. Lett.118 (2017) 011602 [arXiv:1609.02149] [INSPIRE].
G. Gur-Ari and R. Yacoby, Three dimensional bosonization from supersymmetry, JHEP11 (2015) 013 [arXiv:1507.04378] [INSPIRE].
A. Giveon and D. Kutasov, Seiberg duality in Chern-Simons theory, Nucl. Phys.B 812 (2009) 1 [arXiv:0808.0360] [INSPIRE].
A. Armoni, M. Shifman and G. Veneziano, Exact results in non-supersymmetric large N orientifold field theories, Nucl. Phys.B 667 (2003) 170 [hep-th/0302163] [INSPIRE].
A. Armoni, M. Shifman and G. Veneziano, From super Yang-Mills theory to QCD: planar equivalence and its implications, in From fields to strings: circumnavigating theoretical physics. Ian Kogan memorial collection, M. Shifman, A. Vainshtein and J. Wheater eds., World Scientific, Singapore (2004), pg. 353 [hep-th/0403071] [CERN-PH-TH-2004-022] [INSPIRE].
S. Murthy and J. Troost, D-branes in non-critical superstrings and duality in N = 1 gauge theories with flavor, JHEP10 (2006) 019 [hep-th/0606203] [INSPIRE].
A. Fotopoulos, V. Niarchos and N. Prezas, D-branes and SQCD in non-critical superstring theory, JHEP10 (2005) 081 [hep-th/0504010] [INSPIRE].
D. Israel and V. Niarchos, Tree-level stability without spacetime fermions: novel examples in string theory, JHEP07 (2007) 065 [arXiv:0705.2140] [INSPIRE].
A. Armoni, D. Israel, G. Moraitis and V. Niarchos, Non-supersymmetric Seiberg duality, orientifold QCD and non-critical strings, Phys. Rev.D 77 (2008) 105009 [arXiv:0801.0762] [INSPIRE].
C. Angelantonj and A. Sagnotti, Open strings, Phys. Rept.371 (2002) 1 [Erratum ibid.376 (2003) 407] [hep-th/0204089] [INSPIRE].
R. Blumenhagen, A. Font and D. Lüst, Nonsupersymmetric gauge theories from D-branes in type 0 string theory, Nucl. Phys.B 560 (1999) 66 [hep-th/9906101] [INSPIRE].
R. Blumenhagen, A. Font and D. Lüst, Tachyon free orientifolds of type 0B strings in various dimensions, Nucl. Phys. B 558 (1999) 159 [hep-th/9904069] [INSPIRE].
A. Sagnotti, Surprises in open string perturbation theory, Nucl. Phys. Proc. Suppl.B 56 (1997) 332 [hep-th/9702093] [INSPIRE].
A. Sagnotti, Some properties of open string theories, in Supersymmetry and unification of fundamental interactions. Proceedings, International Workshop, SUSY 95, Palaiseau, France, 15–19 May 1995, pg. 473 [hep-th/9509080] [INSPIRE].
M. Ünsal and L.G. Yaffe, (In)validity of large N orientifold equivalence, Phys. Rev.D 74 (2006) 105019 [hep-th/0608180] [INSPIRE].
J. Polchinski, S. Chaudhuri and C.V. Johnson, Notes on D-branes, hep-th/9602052 [INSPIRE].
A.M. Uranga, Comments on nonsupersymmetric orientifolds at strong coupling, JHEP02 (2000) 041 [hep-th/9912145] [INSPIRE].
I.R. Klebanov and A.A. Tseytlin, D-branes and dual gauge theories in type 0 strings, Nucl. Phys.B 546 (1999) 155 [hep-th/9811035] [INSPIRE].
A. Giveon and D. Kutasov, Brane dynamics and gauge theory, Rev. Mod. Phys.71 (1999) 983 [hep-th/9802067] [INSPIRE].
S. Elitzur, A. Giveon and D. Kutasov, Branes and N = 1 duality in string theory, Phys. Lett.B 400 (1997) 269 [hep-th/9702014] [INSPIRE].
N.J. Evans, C.V. Johnson and A.D. Shapere, Orientifolds, branes and duality of 4D gauge theories, Nucl. Phys.B 505 (1997) 251 [hep-th/9703210] [INSPIRE].
A. Hanany and E. Witten, Type IIB superstrings, BPS monopoles and three-dimensional gauge dynamics, Nucl. Phys.B 492 (1997) 152 [hep-th/9611230] [INSPIRE].
A. Armoni and E. Ireson, Level-rank duality in Chern-Simons theory from a non-supersymmetric brane configuration, Phys. Lett.B 739 (2014) 387 [arXiv:1408.4633] [INSPIRE].
C. Córdova, P.-S. Hsin and N. Seiberg, Time-reversal symmetry, anomalies and dualities in (2 + 1)d, SciPost Phys.5 (2018) 006 [arXiv:1712.08639] [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
ArXiv ePrint: 1908.04324
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Akhond, M., Armoni, A. & Speziali, S. Phases of U (Nc) QCD3 from type 0 strings and Seiberg duality. J. High Energ. Phys. 2019, 111 (2019). https://doi.org/10.1007/JHEP09(2019)111
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2019)111