\(\mathrm{AdS}_3\) solutions in massive IIA, defect CFTs and T-duality. (English) Zbl 1431.83180

Lozano, Yolanda; Macpherson, Niall T.; Nunez, Carlos; Ramirez, Anayeli

J. High Energy Phys. 2019, No. 12, Paper No. 13, 35 p. (2019).

Summary: We establish a map between \(\mathrm{AdS}_3 \times S^2\) and \(\mathrm{AdS}_7\) solutions to massive IIA supergravity that allows one to interpret the former as holographic duals to D2-D4 defects inside 6d (1,0) CFTs. This relation singles out in a particular manner the \(\mathrm{AdS}_3 \times S^2\) solution constructed from \(\mathrm{AdS}_3 \times S^3 \times CY_2\) through non-abelian T-duality, with respect to a freely acting SU(2). We find explicit global completions to this solution and provide well-defined (0,4) 2d dual CFTs associated to them. These completions consist of linear quivers with colour groups coming from D2 and D6 branes and flavour groups coming from D8 and D4 branes. Finally, we discuss the relation with flows interpolating between \(\mathrm{AdS}_3 \times S^2 \times T^4\) geometries and \(\mathrm{AdS}_7\) solutions found in the literature.

MSC:

83E50	Supergravity
83C15	Exact solutions to problems in general relativity and gravitational theory
81T40	Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81T60	Supersymmetric field theories in quantum mechanics

Keywords:

AdS-CFT correspondence; extended supersymmetry; string duality

References:

[1]	Karch, A.; Randall, L., Localized gravity in string theory, Phys. Rev. Lett., 87, 061601 (2001)
[2]	Karch, A.; Randall, L., Open and closed string interpretation of SUSY CFT’s on branes with boundaries, JHEP, 06, 063 (2001)
[3]	Dewolfe, O.; Freedman, Dz; Ooguri, H., Holography and defect conformal field theories, Phys. Rev., D 66, 025009 (2002)
[4]	E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus, JHEP06 (2007) 021 [arXiv:0705.0022] [INSPIRE].
[5]	D’Hoker, E.; Estes, J.; Gutperle, M., Exact half-BPS Type IIB interface solutions. II. Flux solutions and multi-Janus, JHEP, 06, 022 (2007)
[6]	Dibitetto, G.; Petri, N., BPS objects in D = 7 supergravity and their M-theory origin, JHEP, 12, 041 (2017) · Zbl 1383.83205
[7]	Dibitetto, G.; Petri, N., 6d surface defects from massive type IIA, JHEP, 01, 039 (2018) · Zbl 1384.81086
[8]	Dibitetto, G.; Petri, N., Surface defects in the D4-D8 brane system, JHEP, 01, 193 (2019) · Zbl 1409.83180
[9]	Dibitetto, G.; Petri, N., AdS_2solutions and their massive IIA origin, JHEP, 05, 107 (2019) · Zbl 1416.83138
[10]	J.M. Penin, A.V. Ramallo and D. Rodríguez-Gómez, Supersymmetric probes in warped AdS_6 , JHEP10 (2019) 021 [arXiv:1906.07732] [INSPIRE]. · Zbl 1427.81145
[11]	Y. Lozano, N.T. Macpherson, C. Núñez and A. Ramirez, AdS_3solutions in Massive IIA with small \(\mathcal{N} \) = (4, 0) supersymmetry, arXiv:1908.09851 [INSPIRE]. · Zbl 1434.83164
[12]	Maldacena, Jm; Strominger, A.; Witten, E., Black hole entropy in M-theory, JHEP, 12, 002 (1997)
[13]	Vafa, C., Black holes and Calabi-Yau threefolds, Adv. Theor. Math. Phys., 2, 207 (1998) · Zbl 0956.83029
[14]	Minasian, R.; Moore, Gw; Tsimpis, D., Calabi-Yau black holes and (0, 4) σ-models, Commun. Math. Phys., 209, 325 (2000) · Zbl 0960.83022
[15]	Castro, A.; Davis, Jl; Kraus, P.; Larsen, F., String Theory Effects on Five-Dimensional Black Hole Physics, Int. J. Mod. Phys., A 23, 613 (2008) · Zbl 1162.83009
[16]	Haghighat, B.; Murthy, S.; Vafa, C.; Vandoren, S., F-Theory, Spinning Black Holes and Multi-string Branches, JHEP, 01, 009 (2016)
[17]	Couzens, C.; Lam, Hh; Mayer, K.; Vandoren, S., Black Holes and (0, 4) SCFTs from Type IIB on K 3, JHEP, 08, 043 (2019) · Zbl 1421.83057
[18]	Kutasov, D.; Larsen, F.; Leigh, Rg, String theory in magnetic monopole backgrounds, Nucl. Phys., B 550, 183 (1999) · Zbl 0947.81078
[19]	Sugawara, Y., N = (0, 4) quiver SCFT(2) and supergravity on AdS_3× S^2, JHEP, 06, 035 (1999) · Zbl 0961.81070
[20]	Larsen, F.; Martinec, Ej, Currents and moduli in the (4, 0) theory, JHEP, 11, 002 (1999) · Zbl 0957.81042
[21]	Okuyama, K., D1-D5 on ALE space, JHEP, 12, 042 (2005)
[22]	Douglas, Mr, Gauge fields and D-branes, J. Geom. Phys., 28, 255 (1998) · Zbl 1057.81546
[23]	Haghighat, B.; Iqbal, A.; Kozçaz, C.; Lockhart, G.; Vafa, C., M-Strings, Commun. Math. Phys., 334, 779 (2015) · Zbl 1393.81031
[24]	Haghighat, B.; Kozcaz, C.; Lockhart, G.; Vafa, C., Orbifolds of M-strings, Phys. Rev., D 89, 046003 (2014)
[25]	Kim, J.; Kim, S.; Lee, K., Little strings and T-duality, JHEP, 02, 170 (2016) · Zbl 1388.81560
[26]	Gadde, A.; Haghighat, B.; Kim, J.; Kim, S.; Lockhart, G.; Vafa, C., 6d String Chains, JHEP, 02, 143 (2018) · Zbl 1387.81286
[27]	Lawrie, C.; Schäfer-Nameki, S.; Weigand, T., Chiral 2d theories from N = 4 SYM with varying coupling, JHEP, 04, 111 (2017) · Zbl 1378.81141
[28]	Couzens, C.; Lawrie, C.; Martelli, D.; Schäfer-Nameki, S.; Wong, J-M, F-theory and AdS_3/CFT_2, JHEP, 08, 043 (2017) · Zbl 1381.81110
[29]	Tong, D., The holographic dual of AdS_3× S^3× S^3× S^1, JHEP, 04, 193 (2014)
[30]	Lozano, Y.; Macpherson, Nt; Montero, J.; Colgáin, Eo, New AdS_3× S^2T-duals with \(\mathcal{N} \) = (0, 4) supersymmetry, JHEP, 08, 121 (2015) · Zbl 1388.81861
[31]	Ö. Kelekci, Y. Lozano, J. Montero, E. Ó Colgáin and M. Park, Large superconformal near-horizons from M-theory, Phys. Rev.D 93 (2016) 086010 [arXiv:1602.02802] [INSPIRE].
[32]	Hanany, A.; Okazaki, T., (0, 4) brane box models, JHEP, 03, 027 (2019) · Zbl 1414.81244
[33]	Macpherson, Nt, Type II solutions on AdS_3× S^3× S^3with large superconformal symmetry, JHEP, 05, 089 (2019) · Zbl 1416.83144
[34]	Y. Lozano, N.T. Macpherson, C. Núnẽz and A. Ramirez, 1/4 BPS AdS_3/CFT_2, arXiv:1909.09636 [INSPIRE].
[35]	Y. Lozano, N.T. Macpherson, C. Núñez and A. Ramirez, Two dimensional \(\mathcal{N} \) = (0, 4) quivers dual to AdS_3solutions in massive IIA, arXiv:1909.10510 [INSPIRE]. · Zbl 1434.83023
[36]	Apruzzi, F.; Fazzi, M.; Rosa, D.; Tomasiello, A., All AdS_7solutions of type-II supergravity, JHEP, 04, 064 (2014)
[37]	Sfetsos, K.; Thompson, Dc, On non-abelian T-dual geometries with Ramond fluxes, Nucl. Phys., B 846, 21 (2011) · Zbl 1208.81173
[38]	Y. Lozano and C. Núñez, Field theory aspects of non-Abelian T-duality and \(\mathcal{N} = 2\) linear quivers, JHEP05 (2016) 107 [arXiv:1603.04440] [INSPIRE]. · Zbl 1388.83299
[39]	Y. Lozano, N.T. Macpherson, J. Montero and C. Núñez, Three-dimensional \(\mathcal{N} = 4\) linear quivers and non-Abelian T-duals, JHEP11 (2016) 133 [arXiv:1609.09061] [INSPIRE]. · Zbl 1390.83121
[40]	Y. Lozano, C. Núñez and S. Zacarias, BMN Vacua, Superstars and Non-Abelian T-duality, JHEP09 (2017) 000 [arXiv:1703.00417] [INSPIRE]. · Zbl 1382.81187
[41]	G. Itsios, Y. Lozano, J. Montero and C. Núñez, The AdS_5non-Abelian T-dual of Klebanov-Witten as a \(\mathcal{N} = 1\) linear quiver from M5-branes, JHEP09 (2017) 038 [arXiv:1705.09661] [INSPIRE]. · Zbl 1382.81182
[42]	Lozano, Y.; Macpherson, Nt; Montero, J., AdS_6T-duals and type IIB AdS_6× S^2geometries with 7-branes, JHEP, 01, 116 (2019) · Zbl 1409.83192
[43]	P. Putrov, J. Song and W. Yan, (0, 4) dualities, JHEP03 (2016) 185 [arXiv:1505.07110] [INSPIRE].
[44]	Hanany, A.; Zaffaroni, A., Branes and six-dimensional supersymmetric theories, Nucl. Phys., B 529, 180 (1998) · Zbl 0961.81077
[45]	Brunner, I.; Karch, A., Branes at orbifolds versus Hanany Witten in six-dimensions, JHEP, 03, 003 (1998) · Zbl 0958.81169
[46]	Apruzzi, F.; Fazzi, M., AdS_7/CFT_6with orientifolds, JHEP, 01, 124 (2018) · Zbl 1384.81090
[47]	Apruzzi, F.; Fazzi, M.; Passias, A.; Rota, A.; Tomasiello, A., Six-Dimensional Superconformal Theories and their Compactifications from Type IIA Supergravity, Phys. Rev. Lett., 115, 061601 (2015)
[48]	Apruzzi, F.; Fazzi, M.; Passias, A.; Tomasiello, A., Supersymmetric AdS_5solutions of massive IIA supergravity, JHEP, 06, 195 (2015) · Zbl 1388.83723
[49]	Rota, A.; Tomasiello, A., AdS_4compactifications of AdS_7solutions in type-II supergravity, JHEP, 07, 076 (2015) · Zbl 1388.83878
[50]	Cremonesi, S.; Tomasiello, A., 6d holographic anomaly match as a continuum limit, JHEP, 05, 031 (2016) · Zbl 1388.83215
[51]	Bobev, N.; Dibitetto, G.; Gautason, Ff; Truijen, B., Holography, Brane Intersections and Six-dimensional SCFTs, JHEP, 02, 116 (2017) · Zbl 1377.81156
[52]	Macpherson, Nt; Tomasiello, A., Minimal flux Minkowski classification, JHEP, 09, 126 (2017) · Zbl 1382.81188
[53]	Gaiotto, D.; Tomasiello, A., Holography for (1, 0) theories in six dimensions, JHEP, 12, 003 (2014)
[54]	Witten, E., On the conformal field theory of the Higgs branch, JHEP, 07, 003 (1997) · Zbl 0949.81056
[55]	Diaconescu, D-E; Seiberg, N., The Coulomb branch of (4, 4) supersymmetric field theories in two-dimensions, JHEP, 07, 001 (1997) · Zbl 0949.81518
[56]	Gaiotto, D., N = 2 dualities, JHEP, 08, 034 (2012) · Zbl 1397.81362
[57]	Gaiotto, D.; Maldacena, J., The Gravity duals of N = 2 superconformal field theories, JHEP, 10, 189 (2012) · Zbl 1397.83038
[58]	J.M. Maldacena and C. Núñez, Supergravity description of field theories on curved manifolds and a no go theorem, Int. J. Mod. Phys.A 16 (2001) 822 [hep-th/0007018] [INSPIRE]. · Zbl 1005.81075
[59]	Boonstra, Hj; Peeters, B.; Skenderis, K., Brane intersections, anti-de Sitter space-times and dual superconformal theories, Nucl. Phys., B 533, 127 (1998) · Zbl 0956.81060
[60]	Brodie, Jh, Two-dimensional mirror symmetry from M-theory, Nucl. Phys., B 517, 36 (1998) · Zbl 0945.81043
[61]	Ito, K.; Maru, N., Matrix string theory from brane configuration, Phys. Lett., B 426, 43 (1998) · Zbl 1049.81597
[62]	Bobev, N.; Crichigno, Pm, Universal RG Flows Across Dimensions and Holography, JHEP, 12, 065 (2017) · Zbl 1383.81186
[63]	C. Núñez, J.M. Pemnín, D. Roychowdhury and J. Van Gorsel, The non-Integrability of Strings in Massive Type IIA and their Holographic duals, JHEP06 (2018) 078 [arXiv:1802.04269] [INSPIRE]. · Zbl 1395.81191
[64]	Passias, A.; Rota, A.; Tomasiello, A., Universal consistent truncation for 6d/7d gauge/gravity duals, JHEP, 10, 187 (2015) · Zbl 1387.83117
[65]	Benini, F.; Bobev, N., Two-dimensional SCFTs from wrapped branes and c-extremization, JHEP, 06, 005 (2013) · Zbl 1390.83325
[66]	R. Casero, C. Núñez and A. Paredes, Towards the string dual of N = 1 SQCD-like theories, Phys. Rev.D 73 (2006) 086005 [hep-th/0602027] [INSPIRE]. · Zbl 1116.81052
[67]	C. Núñez, A. Paredes and A.V. Ramallo, Unquenched Flavor in the Gauge/Gravity Correspondence, Adv. High Energy Phys.2010 (2010) 196714 [arXiv:1002.1088] [INSPIRE]. · Zbl 1216.81145
[68]	Giveon, A.; Kutasov, D.; Seiberg, N., Comments on string theory on AdS_3, Adv. Theor. Math. Phys., 2, 733 (1998) · Zbl 1041.81575
[69]	Seiberg, N.; Witten, E., The D1/D5 system and singular CFT, JHEP, 04, 017 (1999) · Zbl 0953.81076
[70]	Aharony, O.; Berkooz, M., IR dynamics of D = 2, N = (4, 4) gauge theories and DLCQ of’little string theories’, JHEP, 10, 030 (1999) · Zbl 0957.81028
[71]	Kim, H.; Kim, Kk; Kim, N., 1/4-BPS M-theory bubbles with SO(3) × SO(4) symmetry, JHEP, 08, 050 (2007) · Zbl 1326.81160
[72]	N.T. Macpherson, C. Núñez, D.C. Thompson and S. Zacarias, Holographic Flows in non-Abelian T-dual Geometries, JHEP11 (2015) 212 [arXiv:1509.04286] [INSPIRE]. · Zbl 1388.83859
[73]	E. Alvarez, L. Álvarez-Gauḿe, J.L.F. Barbon and Y. Lozano, Some global aspects of duality in string theory, Nucl. Phys.B 415 (1994) 71 [hep-th/9309039] [INSPIRE]. · Zbl 1007.81529
[74]	Brown, Jd; Henneaux, M., Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity, Commun. Math. Phys., 104, 207 (1986) · Zbl 0584.53039
[75]	David, Jr; Mandal, G.; Wadia, Sr, Microscopic formulation of black holes in string theory, Phys. Rept., 369, 549 (2002) · Zbl 0998.83032
[76]	Pilch, K.; Van Nieuwenhuizen, P.; Townsend, Pk, Compactification of d = 11 supergravity on S_4(or 11 = 7 + 4, too), Nucl. Phys., B 242, 377 (1984)