Abstract
We consider defects in 5d field theories corresponding to higher-rank generalizations of the \( {E}_{N_f+1} \) theories; holographically dual to the Brandhuber-Oz background in type I’ String Theory. We concentrate on codimension 2 and 1 defects, corresponding, respectively, to 3d and 4d defect Quantum Field Theories. We study holographically such defect theories by considering supersymmetric probe D4- and D6-branes in the AdS6, whose fluctuations allow us to study the spectrum of mesonic operators of the defect theories. In the case of D4-branes, we also consider wrappings in the internal space which can be regarded as generalizations of the configurations capturing the antisymmetric Wilson loop.
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References
N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics, Phys. Lett.B 388 (1996) 753 [hep-th/9608111] [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, JHEP01 (1998) 002 [hep-th/9710116] [INSPIRE].
H.-C. Kim, S.-S. Kim and K. Lee, 5-dim Superconformal Index with Enhanced E n Global Symmetry, JHEP10 (2012) 142 [arXiv:1206. 6781] [INSPIRE].
E. D’Hoker, M. Gutperle, A. Karch and C.F. Uhlemann, Warped AdS6 x S2in Type JIB supergravity I: Local solutions, JHEP08 (2016) 046 [arXiv:1606.01254] [INSPIRE].
E. D’Hoker, M. Gutperle and C.F. Uhlemann, Warped AdS6 x S2in Type JIB supergravity II: Global solutions and five-brane webs, JHEP05 (2017) 131 [arXiv:1703. 08186] [INSPIRE].
E. D’Hoker, M. Gutperle and C.F. Uhlemann, Warped AdS6 x S2in Type JIB supergravity III: Global solutions with seven-branes, JHEP11 (2017) 200 [arXiv:1706.00433] [INSPIRE].
F. Apruzzi, M. Fazzi, A. Passias, D. Rosa and A. Tomasiello, AdS6solutions of type- II supergravity, JHEP11 (2014) 099 [Erratum ibid.1505 (2015) 012] [arXiv:1406 .0852] [INSPIRE].
H. Kim, N. Kim and M. Suh, Supersymmetric AdS6Solutions of Type JIB Supergravity, Eur. Phys. J.C 75 (2015) 484 [arXiv:1506. 05480] [INSPIRE].
Y. Lozano, E. Ó. Colgain, D. Rodríguez-Gómez and K. Sfetsos, Supersymmetric AdS6via T Duality, Phys. Rev. Lett.110 (2013) 231601 [arXiv:1212 .1043] [INSPIRE].
A. Brandhuber and Y. Oz, The D-4-D-8 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 AdS6duals, JHEP07 (2012) 171 [arXiv:1206.3503] [INSPIRE].
Y. Lozano, E. Ó. Colgáin and D. Rodríguez-Gómez, Hints of 5d Fixed Point Theories from Non-Abelian T-duality, JHEP05 (2014) 009 [arXiv: 1311.4842] [INSPIRE].
Y. Lozano, N.T. Macpherson and J. Montero, AdS6T-duals and type JIB AdS6 x S2geometries with 'l-branes, JHEP01 (2019) 116 [arXiv:1810. 08093] [INSPIRE].
S. Ferrara, A. Kehagias, H. Partouche and A. Zaffaroni, AdSs interpretation of 5- D superconformal field theories, Phys. Lett.B 431 (1998) 57 [hep-th/9804006] [INSPIRE].
D.L. Jafferis and S.S. Pufu, Exact results for five-dimensional superconformal field theories with gravity duals, JHEP05 (2014) 032 [arXiv: 1207 .4359] [INSPIRE].
O. Bergman and D. Rodriguez-Gomez, Probing the Higgs branch of 5d fixed point theories with dual giant gravitons in AdS6, JHEP12 (2012) 047 [arXiv:1210 . 0589] [INSPIRE].
B. Assel, J. Estes and M. Yamazaki, Wilson Loops in 5d N = 1 SCFTs and AdSjCFT, Annales Henri Poincare15 (2014) 589 [arXiv:1212 .1202] [INSPIRE].
O. Bergman, D. Rodríguez-Gómez and G. Zafrir, 5d superconformal indices at large N and holography, JHEP08 (2013) 081 [arXiv:1305.6870] [INSPIRE].
A. Pini and D. Rodríguez-Gómez, Gauge/gravity duality and RG flows in 5d gauge theories, Nucl. Phys.B 884 (2014) 612 [arXiv: 1402.6155] [INSPIRE].
M. Gutperle, A. Trivella and C.F. Uhlemann, Type JIB 'l-branes in warped AdSs: partition functions, brane webs and probe limit, JHEP04 (2018) 135 [arXiv:1802 . 07274] [INSPIRE].
A. Passias and P. Richmond, Perturbing AdS6 X w S4: linearised equations and spin- 2 spectrum, JHEP07 (2018) 058 [arXiv: 1804 . 09728] [INSPIRE].
M. Gutperle, C.F. Uhlemann and O. Varela, Massive spin 2 excitations in AdS6 X S2warped spacetimes, JHEP07 (2018) 091 [arXiv: 1805 . 11914] [INSPIRE].
O. Bergman, D. Rodríguez-Gómez and C.F. Uhlemann, Testing AdS6jCFT 5 in Type JIB with stringy operators, JHEP08 (2018) 127 [arXiv:1806 . 07898] [INSPIRE].
M. Fluder and C.F. Uhlemann, Precision Test of AdS6/CFT 5 in Type JIB String Theory, Phys. Rev. Lett.121 (2018) 171603 [arXiv:1806.08374] [INSPIRE].
J. Kaidi and C.F. Uhlemann, M-theory curves from warped AdS6in Type JIB, JHEP11 (2018) 175 [arXiv:1809 . 10162] [INSPIRE].
A. Chaney and C.F. Uhlemann, On minimal Type JIB AdS6solutions with commuting 'l-branes, JHEP12 (2018) 110 [arXiv: 1810 . 10592] [INSPIRE].
M. Fluder, S.M. Hosseini and C.F. Uhlemann, Black hole microstate counting in Type JIB from 5d SCFTs, JHEP05 (2019) 134 [arXiv: 1902 . 05074] [INSPIRE].
C.-M. Chang, M. Fluder, Y.-H. Lin and Y. Wang, Romans Supergravity from Five-Dimensional Holograms, JHEP05 (2018) 039 [arXiv: 1712 . 10313] [INSPIRE].
S. Choi, C. Hwang, S. Kim and J. Nahmgoong, Entropy functions of BPS black holes in AdS4and AdS6, arXiv: 1811.02158 [INSPIRE].
S. Choi and S. Kim, Large AdS6black holes from CFT5, arXiv: 1904 . 01164 [INSPIRE].
D. Gaiotto and E. Witten, Janus Configurations, Chern-Simons Couplings, And The theta-Angle inN= 4 Super Yang-Mills Theory, JHEP06 (2010) 097 [arXiv :0804. 2907] [INSPIRE].
D. Gaiotto and E. Witten, S-duality of Boundary Conditions In N = 4 Super Yang-Mills Theory, Adv. Theor. M ath. Phys.13 (2009) 721 [arXiv:0807.3720] [INSPIRE].
A. Karch and L. Randall, Localized gravity in string theory, Phys. Rev. Lett.87 (2001) 061601 [hep-th/0105108] [INSPIRE].
A. Karch and L. Randall, Open and closed string interpretation of SUSY CFT's on branes with boundaries, JHEP06 (2001) 063 [hep-th/0105132] [INSPIRE].
O. DeWolfe, D.Z. Freedman and H. Ooguri, Holography and defect conformal field theories, Phys. Rev.D 66 (2002) 025009 [hep-th/0111135] [INSPIRE].
E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS Type JIB interface solutions. I. Local solution and supersymmetric Janus, JHEP06 (2007) 021 [arXiv:0705.0022] [INSPIRE].
E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS Type JIB interface solutions. II. Flux solutions and multi-Janus, JHEP06 (2007) 022 [arXiv: 0705. 0024] [INSPIRE].
N.R. Constable, J. Erdmenger, Z. Guralnik and I. Kirsch, Intersecting D-3 branes and holography, Phys. Rev.D 68 (2003) 106007 [hep-th/0211222] [INSPIRE].
J. Erdmenger, Z. Guralnik, R. Helling and I. Kirsch, A World volume perspective on the recombination of intersecting branes, JHEP04 (2004) 064 [hep-th/0309043] [INSPIRE].
J. Erdmenger, J. Grosse and Z. Guralnik, Spectral flow on the Higgs branch and AdS/CFT duality, JHEP06 (2005) 052 [hep-th/0502224] [INSPIRE].
D. Arean and A.V. Ramallo, Open string modes at brane intersections, JHEP04 (2006) 037 [hep-th/0602174] [INSPIRE].
D. Arean, A.V. Ramallo and D. Rodriguez-Gomez, Mesons and Higgs branch in defect theories, Phys. Lett.B 641 (2006) 393 [hep-th/0609010] [INSPIRE].
D. Arean, A.V. Ramallo and D. Rodriguez-Gomez, Holographic flavor on the Higgs branch, JHEP 05 (2007) 044 [hep-th/0703094] [INSPIRE].
M. Cvetic, H. Lu and C.N. Pope, Gauged six-dimensional supergravity from massive type IIA, Phys. Rev. Lett.83 (1999) 5226 [hep-th/9906221] [INSPIRE].
L.J. Romans, The F(4) Gauged Supergravity in Six-dimensions, Nucl. Phys.B 269 (1986) 691 [INSPIRE].
G. Dibitetto and N. Petri, Surface defects in the D4 -D8 brane system, JHEP01 (2019) 193 [arXiv: 1807 . 07768] [INSPIRE].
C. Nunez, I.Y. Park, M. Schvellinger and T.A. Tran, Supergravity duals of gauge theories from F(4) gauged supergravity in six-dimensions, JHEP04 (2001) 025 [hep-th/0103080] [INSPIRE].
M. Suh, Supersymmetric AdS6 black holes from F(4) gauged supergravity, JHEP01 (2019) 035 [arXiv:1809 .03517] [INSPIRE].
S.M. Hosseini, K. Hristov, A. Passias and A. Zaffaroni, 6D attractors and black hole microstates, arXiv:1809. 10685 [INSPIRE].
M. Suh, Supersymmetric AdS6black holes from matter coupled F(4) gauged supergravity, JHEP02 (2019) 108 [arXiv:1810.00675] [INSPIRE].
G. Dibitetto and N. Petri, AdS2solutions and their massive IIA origin, JHEP05 (2019) 107 [arXiv: 1811.11572] [INSPIRE].
J. Polchinski and E. Witten, Evidence for heterotic-type-! string duality, Nucl. Phys.B 460 (1996) 525 [hep-th /9510169] [INSPIRE].
I. Kanitscheider, K. Skenderis and M. Taylor, Precision holography for non-conformal branes, JHEP09 (2008) 094 [arXiv:0807.3324] [INSPIRE].
J.M. Camino, A. Paredes and A.V. Ramallo, Stable wrapped branes, JHEP05 (2001) 011 [hep-th/0104082] [INSPIRE].
E. Witten, 81(2, Z) action on three-dimensional conformal field theories with Abelian symmetry, hep-th/0307041 [INSPIRE].
D. Marolf and S.F. Ross, Boundary Conditions and New Dualities: Vector Fields in AdS/CFT, JHEP11 (2006) 085 [hep-th/0606113] [INSPIRE].
B. Robinson and C.F. Uhlemann, Supersymmetric D3/ D5 for massive defects on curved space, JHEP12 (2017) 143 [arXiv:1709 .08650] [INSPIRE].
O. Aharony, L. Berdichevsky and M. Berkooz, 4d N = 2 superconformal linear quivers with type IIA duals, JHEP08 (2012) 131 [arXiv:1206. 5916] [INSPIRE].
F. Apruzzi, M. Fazzi, D. Rosa and A. Tomasiello, All AdS7solutions of type-II supergravity, JHEP04 (2014) 064 [arXiv:1309.2949] [INSPIRE].
A. Passias, A note on supersymmetric AdS6solutions of massive type IIA supergravity, JHEP01 (2013) 113 [arXiv:1209.3267] [INSPIRE].
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Penin, J.M., Ramallo, A.V. & Rodríguez-Gómez, D. Supersymmetric probes in warped AdS6. J. High Energ. Phys. 2019, 21 (2019). https://doi.org/10.1007/JHEP10(2019)021
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DOI: https://doi.org/10.1007/JHEP10(2019)021