Abstract
Motivated by an analysis of the sub-superalgebras of the five-dimensional superconformal algebra F (4), we search for the holographic duals to co-dimension one superconformal defects in 5d CFTs which have SO(4, 2) ⊕ U(1) bosonic symmetry. In particular, we look for domain wall solutions to six-dimensional F (4) gauged supergravity coupled to a single vector multiplet. It is found that supersymmetric domain wall solutions do not exist unless there is a non-trivial profile for one of the vector multiplet scalars which is charged under the gauged SU(2) R-symmetry. This non-trivial profile breaks the SU(2) to U(1), thus matching expectations from the superalgebra analysis. A consistent set of BPS equations is then obtained and solved numerically. While the numerical solutions are generically singular and thought to be dual to boundary CFTs, it is found that for certain fine-tuned choices of parameters regular Janus solutions may be obtained.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
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].
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].
A. Brandhuber and Y. Oz, The D4-D8 brane system and five-dimensional fixed points, Phys. Lett. B 460 (1999) 307 [hep-th/9905148] [INSPIRE].
O. Bergman and D. Rodriguez-Gomez, 5d quivers and their AdS 6 duals, JHEP 07 (2012) 171 [arXiv:1206.3503] [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].
W. Nahm, Supersymmetries and their representations, Nucl. Phys. B 135 (1978) 149 [INSPIRE].
V.G. Kac, Lie superalgebras, Adv. Math. 26 (1977) 8 [INSPIRE].
S. Shnider, The superconformal algebra in higher dimensions, Lett. Math. Phys. 16 (1988) 377 [INSPIRE].
A. Passias, A note on supersymmetric AdS 6 solutions of massive type IIA supergravity, JHEP 01 (2013) 113 [arXiv:1209.3267] [INSPIRE].
Y. Lozano, E. Ó. Colgáin, D. Rodríguez-Gómez and K. Sfetsos, Supersymmetric AdS 6 via T duality, Phys. Rev. Lett. 110 (2013) 231601 [arXiv:1212.1043] [INSPIRE].
Y. Lozano, E. Ó. Colg’ain and D. Rodríguez-Gómez, Hints of 5d fixed point theories from non-Abelian T-duality, JHEP 05 (2014) 009 [arXiv:1311.4842] [INSPIRE].
Ö. Kelekci, Y. Lozano, N.T. Macpherson and E. Ó. Colgáin, Supersymmetry and non-Abelian T-duality in type-II supergravity, Class. Quant. Grav. 32 (2015) 035014 [arXiv:1409.7406] [INSPIRE].
E. D’Hoker, M. Gutperle, A. Karch and C.F. Uhlemann, Warped AdS 6 × S 2 in type IIB supergravity I: local solutions, JHEP 08 (2016) 046 [arXiv:1606.01254] [INSPIRE].
E. D’Hoker, M. Gutperle and C.F. Uhlemann, Holographic duals for five-dimensional superconformal quantum field theories, Phys. Rev. Lett. 118 (2017) 101601 [arXiv:1611.09411] [INSPIRE].
E. D’Hoker, M. Gutperle and C.F. Uhlemann, Warped AdS 6 × S 2 in type IIB supergravity II: global solutions and five-brane webs, JHEP 05 (2017) 131 [arXiv:1703.08186] [INSPIRE].
F. Apruzzi, M. Fazzi, A. Passias, D. Rosa and A. Tomasiello, AdS 6 solutions of type-II supergravity, JHEP 11 (2014) 099 [Erratum ibid. 05 (2015) 012] [arXiv:1406.0852] [INSPIRE].
H. Kim, N. Kim and M. Suh, Supersymmetric AdS 6 solutions of type IIB supergravity, Eur. Phys. J. C 75 (2015) 484 [arXiv:1506.05480] [INSPIRE].
H. Kim and N. Kim, Comments on the symmetry of AdS 6 solutions in string/M-theory and Killing spinor equations, Phys. Lett. B 760 (2016) 780 [arXiv:1604.07987] [INSPIRE].
M. Gutperle, C. Marasinou, A. Trivella and C.F. Uhlemann, Entanglement entropy vs. free energy in IIB supergravity duals for 5d SCFTs, JHEP 09 (2017) 125 [arXiv:1705.01561] [INSPIRE].
L.J. Romans, The F (4) gauged supergravity in six-dimensions, Nucl. Phys. B 269 (1986) 691 [INSPIRE].
L. Andrianopoli, R. D’Auria and S. Vaula, Matter coupled F (4) gauged supergravity Lagrangian, JHEP 05 (2001) 065 [hep-th/0104155] [INSPIRE].
S. Ferrara, A. Kehagias, H. Partouche and A. Zaffaroni, AdS 6 interpretation of 5D superconformal field theories, Phys. Lett. B 431 (1998) 57 [hep-th/9804006] [INSPIRE].
R. D’Auria, S. Ferrara and S. Vaula, Matter coupled F (4) supergravity and the AdS 6 /CFT 5 correspondence, JHEP 10 (2000) 013 [hep-th/0006107] [INSPIRE].
P. Karndumri and J. Louis, Supersymmetric AdS 6 vacua in six-dimensional N = (1, 1) gauged supergravity, JHEP 01 (2017) 069 [arXiv:1612.00301] [INSPIRE].
P. Karndumri, Holographic RG flows in six dimensional F (4) gauged supergravity, JHEP 01 (2013) 134 [Erratum ibid. 06 (2015) 165] [arXiv:1210.8064] [INSPIRE].
L.F. Alday, M. Fluder, P. Richmond and J. Sparks, Gravity dual of supersymmetric gauge theories on a squashed five-sphere, Phys. Rev. Lett. 113 (2014) 141601 [arXiv:1404.1925] [INSPIRE].
L.F. Alday, P. Richmond and J. Sparks, The holographic supersymmetric Rényi entropy in five dimensions, JHEP 02 (2015) 102 [arXiv:1410.0899] [INSPIRE].
N. Hama, T. Nishioka and T. Ugajin, Supersymmetric Rényi entropy in five dimensions, JHEP 12 (2014) 048 [arXiv:1410.2206] [INSPIRE].
E. D’Hoker, J. Estes, M. Gutperle, D. Krym and P. Sorba, Half-BPS supergravity solutions and superalgebras, JHEP 12 (2008) 047 [arXiv:0810.1484] [INSPIRE].
J. Can der Jeugt, Regular subalgebras of Lie superalgebras and extended Dynkin diagrams, J. Math. Phys. 28 (1987) 292.
L. Frappat, A. Sciarrino and P. Sorba, Dictionary on Lie algebras and superalgebras, Academic Press, U.S.A., (2000).
B. Assel, J. Estes and M. Yamazaki, Wilson loops in 5d N = 1 SCFTs and AdS/CFT, Annales Henri Poincaré 15 (2014) 589 [arXiv:1212.1202] [INSPIRE].
J. Kaidi, (p, q)-strings probing five-brane webs, JHEP 10 (2017) 087 [arXiv:1708.03404] [INSPIRE].
J. Gomis and F. Passerini, Holographic Wilson loops, JHEP 08 (2006) 074 [hep-th/0604007] [INSPIRE].
D. Bak, M. Gutperle and S. Hirano, A dilatonic deformation of AdS 5 and its field theory dual, JHEP 05 (2003) 072 [hep-th/0304129] [INSPIRE].
O. Lunin, On gravitational description of Wilson lines, JHEP 06 (2006) 026 [hep-th/0604133] [INSPIRE].
E. D’Hoker, J. Estes and M. Gutperle, Gravity duals of half-BPS Wilson loops, JHEP 06 (2007) 063 [arXiv:0705.1004] [INSPIRE].
E. D’Hoker, J. Estes, M. Gutperle and D. Krym, Exact half-BPS flux solutions in M-theory I: local solutions, JHEP 08 (2008) 028 [arXiv:0806.0605] [INSPIRE].
E. D’Hoker, J. Estes, M. Gutperle and D. Krym, Exact half-BPS flux solutions in M-theory II: global solutions asymptotic to AdS 7 × S 4, JHEP 12 (2008) 044 [arXiv:0810.4647] [INSPIRE].
E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS type IIB interface solutions I. Local solution and supersymmetric Janus, JHEP 06 (2007) 021 [arXiv:0705.0022] [INSPIRE].
E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS type IIB interface solutions II. Flux solutions and multi-Janus, JHEP 06 (2007) 022 [arXiv:0705.0024] [INSPIRE].
A. Clark and A. Karch, Super Janus, JHEP 10 (2005) 094 [hep-th/0506265] [INSPIRE].
M. Suh, Supersymmetric Janus solutions in five and ten dimensions, JHEP 09 (2011) 064 [arXiv:1107.2796] [INSPIRE].
N. Bobev, K. Pilch and N.P. Warner, Supersymmetric Janus solutions in four dimensions, JHEP 06 (2014) 058 [arXiv:1311.4883] [INSPIRE].
H. Samtleben, Lectures on gauged supergravity and flux compactifications, Class. Quant. Grav. 25 (2008) 214002 [arXiv:0808.4076] [INSPIRE].
I.R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [hep-th/9905104] [INSPIRE].
I. Papadimitriou and K. Skenderis, Correlation functions in holographic RG flows, JHEP 10 (2004) 075 [hep-th/0407071] [INSPIRE].
K. Jensen and A. O’Bannon, Holography, entanglement entropy and conformal field theories with boundaries or defects, Phys. Rev. D 88 (2013) 106006 [arXiv:1309.4523] [INSPIRE].
M. Gutperle and A. Trivella, Note on entanglement entropy and regularization in holographic interface theories, Phys. Rev. D 95 (2017) 066009 [arXiv:1611.07595] [INSPIRE].
A. Ceresole, G. Dall’Agata, R. Kallosh and A. Van Proeyen, Hypermultiplets, domain walls and supersymmetric attractors, Phys. Rev. D 64 (2001) 104006 [hep-th/0104056] [INSPIRE].
G. Lopes Cardoso, G. Dall’Agata and D. Lüst, Curved BPS domain wall solutions in five-dimensional gauged supergravity, JHEP 07 (2001) 026 [hep-th/0104156] [INSPIRE].
G. Lopes Cardoso, G. Dall’Agata and D. Lüst, Curved BPS domain walls and RG flow in five-dimensions, JHEP 03 (2002) 044 [hep-th/0201270] [INSPIRE].
N. Bobev, H. Elvang, D.Z. Freedman and S.S. Pufu, Holography for N = 2∗ on S 4, JHEP 07 (2014) 001 [arXiv:1311.1508] [INSPIRE].
M. Gutperle and J. Samani, Holographic RG-flows and boundary CFTs, Phys. Rev. D 86 (2012) 106007 [arXiv:1207.7325] [INSPIRE].
M. Fujita, T. Takayanagi and E. Tonni, Aspects of AdS/BCFT, JHEP 11 (2011) 043 [arXiv:1108.5152] [INSPIRE].
B. Chen and W. He, On 1/2-BPS Wilson-’t Hooft loops, Phys. Rev. D 74 (2006) 126008 [hep-th/0607024] [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: 1709.09204
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, 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 license, and indicate if changes were made.
About this article
Cite this article
Gutperle, M., Kaidi, J. & Raj, H. Janus solutions in six-dimensional gauged supergravity. J. High Energ. Phys. 2017, 18 (2017). https://doi.org/10.1007/JHEP12(2017)018
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP12(2017)018