Abstract
We study supersymmetry breaking deformations of the \( \mathcal{N} \) = 1 5d fixed point known as E1, the UV completion of SU(2) super-Yang-Mills. The phases of the non- supersymmetric theory can be characterized by Chern-Simons terms involving background U(1) gauge fields, allowing us to identify a phase transition at strong coupling. We propose that this may signify the emergence of a non-trivial, non-supersymmetric CFT in d = 4 + 1 dimensions.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M.E. Peskin, Critical point behavior of the Wilson loop, Phys. Lett. B 94B (1980) 161.
T.R. Morris, Renormalizable extra-dimensional models, JHEP 01 (2005) 002 [hep-ph/0410142] [INSPIRE].
L. Fei, S. Giombi and I.R. Klebanov, Critical O(N ) models in 6 − ϵ dimensions, Phys. Rev. D 90 (2014) 025018 [arXiv:1404.1094] [INSPIRE].
Y. Nakayama and T. Ohtsuki, Five dimensional O(N )-symmetric CFTs from conformal bootstrap, Phys. Lett. B 734 (2014) 193 [arXiv:1404.5201] [INSPIRE].
J.-B. Bae and S.-J. Rey, Conformal bootstrap approach to O(N ) fixed points in five dimensions, arXiv:1412.6549 [INSPIRE].
S.M. Chester, S.S. Pufu and R. Yacoby, Bootstrapping O(N ) vector models in 4 < d < 6, Phys. Rev. D 91 (2015) 086014 [arXiv:1412.7746] [INSPIRE].
Z. Li and N. Su, Bootstrapping mixed correlators in the five dimensional critical O(N ) models, JHEP 04 (2017) 098 [arXiv:1607.07077] [INSPIRE].
N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics, Phys. Lett. B 388 (1996) 753 [hep-th/9608111] [INSPIRE].
D.R. Morrison and N. Seiberg, Extremal transitions and five-dimensional supersymmetric field theories, Nucl. Phys. B 483 (1997) 229 [hep-th/9609070] [INSPIRE].
M.R. Douglas, S.H. Katz and C. Vafa, Small instantons, Del Pezzo surfaces and type-I-prime theory, Nucl. Phys. B 497 (1997) 155 [hep-th/9609071] [INSPIRE].
K.A. Intriligator, D.R. Morrison and N. Seiberg, Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces, Nucl. Phys. B 497 (1997) 56 [hep-th/9702198] [INSPIRE].
O. Aharony and A. Hanany, Branes, superpotentials and superconformal fixed points, Nucl. Phys. B 504 (1997) 239 [hep-th/9704170] [INSPIRE].
O. Aharony, A. Hanany and B. Kol, Webs of (p, q) five-branes, five-dimensional field theories and grid diagrams, JHEP 01 (1998) 002 [hep-th/9710116] [INSPIRE].
O. DeWolfe, A. Hanany, A. Iqbal and E. Katz, Five-branes, seven-branes and five-dimensional E(n) field theories, JHEP 03 (1999) 006 [hep-th/9902179] [INSPIRE].
S. Kachru, M. Mulligan, G. Torroba and H. Wang, Bosonization and mirror symmetry, Phys. Rev. D 94 (2016) 085009 [arXiv:1608.05077] [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].
A. Karch, D. Tong and C. Turner, Mirror symmetry and bosonization in 2d and 3d, JHEP 07 (2018) 059 [arXiv:1805.00941] [INSPIRE].
K. Konishi, Confinement, supersymmetry breaking and theta parameter dependence in the Seiberg-Witten model, Phys. Lett. B 392 (1997) 101 [hep-th/9609021] [INSPIRE].
O. Aharony, N. Seiberg and Y. Tachikawa, Reading between the lines of four-dimensional gauge theories, JHEP 08 (2013) 115 [arXiv:1305.0318] [INSPIRE].
C. Córdova and T.T. Dumitrescu, Candidate phases for SU(2) adjoint QCD4 with two flavors from \( \mathcal{N} \) = 2 supersymmetric Yang-Mills theory, arXiv:1806.09592 [INSPIRE].
Z. Wan and J. Wang, Adjoint QCD4 , deconfined critical phenomena, symmetry-enriched topological quantum field theory and higher symmetry-extension, Phys. Rev. D 99 (2019) 065013 [arXiv:1812.11955] [INSPIRE].
J. Bhattacharya, S. Bhattacharyya, S. Minwalla and S. Raju, Indices for superconformal field theories in 3, 5 and 6 dimensions, JHEP 02 (2008) 064 [arXiv:0801.1435] [INSPIRE].
Y. Tachikawa, Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories, PTEP 2015 (2015) 043B06 [arXiv:1501.01031] [INSPIRE].
C. Cordova, T.T. Dumitrescu and K. Intriligator, Deformations of superconformal theories, JHEP 11 (2016) 135 [arXiv:1602.01217] [INSPIRE].
H.-C. Kim, S.-S. Kim and K. Lee, 5-dim superconformal index with enhanced En global symmetry, JHEP 10 (2012) 142 [arXiv:1206.6781] [INSPIRE].
V. Mitev, E. Pomoni, M. Taki and F. Yagi, Fiber-base duality and global symmetry enhancement, JHEP 04 (2015) 052 [arXiv:1411.2450] [INSPIRE].
A. Iqbal and C. Vafa, BPS degeneracies and superconformal index in diverse dimensions, Phys. Rev. D 90 (2014) 105031 [arXiv:1210.3605] [INSPIRE].
D. Bashkirov, A comment on the enhancement of global symmetries in superconformal SU(2) gauge theories in 5D, arXiv:1211.4886 [INSPIRE].
O. Bergman, D. Rodŕıguez-Gómez and G. Zafrir, 5D superconformal indices at large N and holography, JHEP 08 (2013) 081 [arXiv:1305.6870] [INSPIRE].
O. Bergman, D. Rodŕıguez-Gómez and G. Zafrir, Discrete θ and the 5d superconformal index, JHEP 01 (2014) 079 [arXiv:1310.2150] [INSPIRE].
O. Bergman, D. Rodríguez-Gómez and G. Zafrir, 5-brane webs, symmetry enhancement and duality in 5d supersymmetric gauge theory, JHEP 03 (2014) 112 [arXiv:1311.4199] [INSPIRE].
L. Bao, V. Mitev, E. Pomoni, M. Taki and F. Yagi, Non-Lagrangian theories from brane junctions, JHEP 01 (2014) 175 [arXiv:1310.3841] [INSPIRE].
H. Hayashi, H.-C. Kim and T. Nishinaka, Topological strings and 5d TN partition functions, JHEP 06 (2014) 014 [arXiv:1310.3854] [INSPIRE].
M. Taki, Notes on enhancement of flavor symmetry and 5d superconformal index, arXiv:1310.7509 [INSPIRE].
M. Aganagic, N. Haouzi and S. Shakirov, An -triality, arXiv:1403.3657 [INSPIRE].
M. Taki, Seiberg duality, 5d SCFTs and Nekrasov partition functions, arXiv:1401.7200 [INSPIRE].
C. Hwang, J. Kim, S. Kim and J. Park, General instanton counting and 5d SCFT, JHEP 07 (2015) 063 [arXiv:1406.6793] [INSPIRE].
G. Zafrir, Duality and enhancement of symmetry in 5d gauge theories, JHEP 12 (2014) 116 [arXiv:1408.4040] [INSPIRE].
H. Hayashi and G. Zoccarato, Exact partition functions of Higgsed 5d TN theories, JHEP 01 (2015) 093 [arXiv:1409.0571] [INSPIRE].
O. Bergman and G. Zafrir, Lifting 4d dualities to 5d, JHEP 04 (2015) 141 [arXiv:1410.2806] [INSPIRE].
H. Hayashi, Y. Tachikawa and K. Yonekura, Mass-deformed TN as a linear quiver, JHEP 02 (2015) 089 [arXiv:1410.6868] [INSPIRE].
K. Yonekura, Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories, JHEP 07 (2015) 167 [arXiv:1505.04743] [INSPIRE].
G. Ferlito, A. Hanany, N. Mekareeya and G. Zafrir, 3d Coulomb branch and 5d Higgs branch at infinite coupling, JHEP 07 (2018) 061 [arXiv:1712.06604] [INSPIRE].
F. Apruzzi, C. Lawrie, L. Lin, S. Schäfer-Nameki and Y.-N. Wang, Fibers add flavor. Part I. Classification of 5d SCFTs, flavor symmetries and BPS states, JHEP 11 (2019) 068 [arXiv:1907.05404] [INSPIRE].
F. Bonetti, T.W. Grimm and S. Hohenegger, One-loop Chern-Simons terms in five dimensions, JHEP 07 (2013) 043 [arXiv:1302.2918] [INSPIRE].
H. Hayashi, S.-S. Kim, K. Lee and F. Yagi, Complete prepotential for 5d \( \mathcal{N} \) = 1 superconformal field theories, JHEP 02 (2020) 074 [arXiv:1912.10301] [INSPIRE].
S. Ferrara, R.R. Khuri and R. Minasian, M theory on a Calabi-Yau manifold, Phys. Lett. B 375 (1996) 81 [hep-th/9602102] [INSPIRE].
S. Katz, H.C. Kim, H.C. Tarazi and C. Vafa, Swampland constraints on 5d N = 1 supergravity, arXiv:2004.14401.
C.-K. Chiu, J.C.Y. Teo, A.P. Schnyder and S. Ryu, Classification of topological quantum matter with symmetries, Rev. Mod. Phys. 88 (2016) 035005 [arXiv:1505.03535] [INSPIRE].
C. Córdova, D.S. Freed, H.T. Lam and N. Seiberg, Anomalies in the space of coupling constants and their dynamical applications I, SciPost Phys. 8 (2020) 001 [arXiv:1905.09315] [INSPIRE].
A. Boyarsky, J.A. Harvey and O. Ruchayskiy, A toy model of the M 5-brane: anomalies of monopole strings in five dimensions, Annals Phys. 301 (2002) 1 [hep-th/0203154] [INSPIRE].
D. Gaiotto and H.-C. Kim, Duality walls and defects in 5d \( \mathcal{N} \) = 1 theories, JHEP 01 (2017) 019 [arXiv:1506.03871] [INSPIRE].
J. de Boer, K. Hori and Y. Oz, Dynamics of N = 2 supersymmetric gauge theories in three-dimensions, Nucl. Phys. B 500 (1997) 163 [hep-th/9703100] [INSPIRE].
E. Witten, An SU(2) anomaly, Phys. Lett. 117B (1982) 324 [INSPIRE].
L. Bhardwaj et al., Twisted circle compactifications of 6d SCFTs, arXiv:1909.11666 [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: 2001.00023
Rights and permissions
This article is published under an open access license. Please check the 'Copyright Information' section either on this page or in the PDF for details of this license and what re-use is permitted. If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and re-use information, please contact the Rights and Permissions team.
About this article
Cite this article
Genolini, P.B., Honda, M., Kim, HC. et al. Evidence for a non-supersymmetric 5d CFT from deformations of 5d SU(2) SYM. J. High Energ. Phys. 2020, 58 (2020). https://doi.org/10.1007/JHEP05(2020)058
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2020)058