Abstract
We present general results on generating AdS2 solutions to Type II supergravity from AdS3 solutions via U(1) and SL(2) T-dualities. We focus on a class of Type IIB solutions with small 𝒩 = 4 supersymmetry, that we show can be embedded into a more general class of solutions obtained by double analytical continuation from AdS3 geometries with small 𝒩 = (0, 4) supersymmetry constructed in the literature. We then start the analysis of the superconformal quantum mechanics dual to the 𝒩 = 4 backgrounds focusing on a subclass of AdS2 × S3 × 𝕋3 solutions foliated over a Riemann surface. We show that the associated supersymmetric quantum mechanics describes monopole bubbling in 4d 𝒩 = 2 supersymmetric gauge theories living in D3-D7 branes, as previously discussed in the literature. Therefore, we propose that our solutions provide a geometrical description via holography of monopole bubbling in 4d 𝒩 = 2 SCFTs. We check our proposal with the computation of the central charge.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Y. Lozano, C. Núñez, A. Ramirez and S. Speziali, New AdS2 backgrounds and 𝒩 = 4 conformal quantum mechanics, JHEP 03 (2021) 277 [arXiv:2011.00005] [INSPIRE].
Y. Lozano, C. Núñez, A. Ramirez and S. Speziali, AdS2 duals to ADHM quivers with Wilson lines, JHEP 03 (2021) 145 [arXiv:2011.13932] [INSPIRE].
Y. Lozano, C. Núñez and A. Ramirez, AdS2 × S2 × CY2 solutions in Type IIB with 8 supersymmetries, JHEP 04 (2021) 110 [arXiv:2101.04682] [INSPIRE].
A. Ramirez, AdS2 geometries and non-Abelian T-duality in non-compact spaces, JHEP 10 (2021) 020 [arXiv:2106.09735] [INSPIRE].
Y. Lozano and A. Ramirez, New Advancements in AdS/CFT in Lower Dimensions, Universe 7 (2021) 250 [arXiv:2106.12195] [INSPIRE].
Y. Lozano, N. Petri and C. Risco, New AdS2 supergravity duals of 4d SCFTs with defects, JHEP 10 (2021) 217 [arXiv:2107.12277] [INSPIRE].
Y. Lozano, N. Petri and C. Risco, Line defects as brane boxes in Gaiotto-Maldacena geometries, JHEP 02 (2023) 193 [arXiv:2212.10398] [INSPIRE].
Y. Lozano, N. Petri and C. Risco, AdS2 near-horizons, defects, and string dualities, Phys. Rev. D 107 (2023) 106012 [arXiv:2212.11095] [INSPIRE].
G. Dibitetto, Y. Lozano, N. Petri and A. Ramirez, Holographic description of M-branes via AdS2, JHEP 04 (2020) 037 [arXiv:1912.09932] [INSPIRE].
P. Aniceto, G. Lopes Cardoso and S. Nampuri, R2 corrected AdS2 holography, JHEP 03 (2021) 255 [arXiv:2010.08761] [INSPIRE].
A. Strominger, AdS(2) quantum gravity and string theory, JHEP 01 (1999) 007 [hep-th/9809027] [INSPIRE].
V. Balasubramanian, A. Naqvi and J. Simon, A Multiboundary AdS orbifold and DLCQ holography: A universal holographic description of extremal black hole horizons, JHEP 08 (2004) 023 [hep-th/0311237] [INSPIRE].
T. Hartman and A. Strominger, Central Charge for AdS2 Quantum Gravity, JHEP 04 (2009) 026 [arXiv:0803.3621] [INSPIRE].
M. Alishahiha and F. Ardalan, Central Charge for 2D Gravity on AdS2 and AdS2/CFT1 Correspondence, JHEP 08 (2008) 079 [arXiv:0805.1861] [INSPIRE].
V. Balasubramanian, J. de Boer, M.M. Sheikh-Jabbari and J. Simon, What is a chiral 2d CFT? And what does it have to do with extremal black holes?, JHEP 02 (2010) 017 [arXiv:0906.3272] [INSPIRE].
G. Dibitetto and N. Petri, AdS2 solutions and their massive IIA origin, JHEP 05 (2019) 107 [arXiv:1811.11572] [INSPIRE].
M. Gutperle and M. Vicino, Conformal defect solutions in N = 2, D = 4 gauged supergravity, Nucl. Phys. B 942 (2019) 149 [arXiv:1811.04166] [INSPIRE].
K. Chen and M. Gutperle, Holographic line defects in F(4) gauged supergravity, Phys. Rev. D 100 (2019) 126015 [arXiv:1909.11127] [INSPIRE].
K. Chen, M. Gutperle and M. Vicino, Holographic Line Defects in D = 4, N = 2 Gauged Supergravity, Phys. Rev. D 102 (2020) 026025 [arXiv:2005.03046] [INSPIRE].
Y. Lozano, N.T. Macpherson, N. Petri and C. Risco, New AdS3/CFT2 pairs in massive IIA with (0, 4) and (4, 4) supersymmetries, JHEP 09 (2022) 130 [arXiv:2206.13541] [INSPIRE].
N.T. Macpherson and A. Ramirez, AdS3 × S2 in IIB with small 𝒩 = (4, 0) supersymmetry, JHEP 04 (2022) 143 [arXiv:2202.00352] [INSPIRE].
T.D. Brennan, A. Dey and G.W. Moore, On ’t Hooft defects, monopole bubbling and supersymmetric quantum mechanics, JHEP 09 (2018) 014 [arXiv:1801.01986] [INSPIRE].
T.D. Brennan, Monopole Bubbling via String Theory, JHEP 11 (2018) 126 [arXiv:1806.00024] [INSPIRE].
T.D. Brennan, A. Dey and G.W. Moore, ’t Hooft defects and wall crossing in SQM, JHEP 10 (2019) 173 [arXiv:1810.07191] [INSPIRE].
B. Assel and A. Sciarappa, On monopole bubbling contributions to ’t Hooft loops, JHEP 05 (2019) 180 [arXiv:1903.00376] [INSPIRE].
A.S. Haupt, S. Lautz and G. Papadopoulos, A non-existence theorem for N > 16 supersymmetric AdS3 backgrounds, JHEP 07 (2018) 178 [arXiv:1803.08428] [INSPIRE].
Y. Lozano, N.T. Macpherson, J. Montero and C. Núñez, Three-dimensional 𝒩 = 4 linear quivers and non-Abelian T-duals, JHEP 11 (2016) 133 [arXiv:1609.09061] [INSPIRE].
Y. Lozano and C. Núñez, Field theory aspects of non-Abelian T-duality and 𝒩 = 2 linear quivers, JHEP 05 (2016) 107 [arXiv:1603.04440] [INSPIRE].
Y. Lozano, C. Núñez and S. Zacarias, BMN Vacua, Superstars and Non-Abelian T-duality, JHEP 09 (2017) 008 [arXiv:1703.00417] [INSPIRE].
G. Itsios, Y. Lozano, J. Montero and C. Núñez, The AdS5 non-Abelian T-dual of Klebanov-Witten as a 𝒩 = 1 linear quiver from M5-branes, JHEP 09 (2017) 038 [arXiv:1705.09661] [INSPIRE].
Y. Lozano, N.T. Macpherson and J. Montero, AdS6 T-duals and type IIB AdS6 × S2 geometries with 7-branes, JHEP 01 (2019) 116 [arXiv:1810.08093] [INSPIRE].
Y. Lozano, N.T. Macpherson, C. Núñez and A. Ramirez, AdS3 solutions in massive IIA, defect CFTs and T-duality, JHEP 12 (2019) 013 [arXiv:1909.11669] [INSPIRE].
Y. Lozano, N.T. Macpherson, C. Núñez and A. Ramirez, AdS3 solutions in Massive IIA with small 𝒩 = (4, 0) supersymmetry, JHEP 01 (2020) 129 [arXiv:1908.09851] [INSPIRE].
R. Terrisse, D. Tsimpis and C.A. Whiting, D-branes and non-Abelian T-duality, Nucl. Phys. B 947 (2019) 114733 [arXiv:1811.05800] [INSPIRE].
G. Dibitetto and N. Petri, AdS3 from M-branes at conical singularities, JHEP 01 (2021) 129 [arXiv:2010.12323] [INSPIRE].
S. Yamaguchi, Wilson loops of anti-symmetric representation and D5-branes, JHEP 05 (2006) 037 [hep-th/0603208] [INSPIRE].
J. Gomis and F. Passerini, Holographic Wilson Loops, JHEP 08 (2006) 074 [hep-th/0604007] [INSPIRE].
D.-E. Diaconescu, D-branes, monopoles and Nahm equations, Nucl. Phys. B 503 (1997) 220 [hep-th/9608163] [INSPIRE].
A. Kapustin and E. Witten, Electric-Magnetic Duality And The Geometric Langlands Program, Commun. Num. Theor. Phys. 1 (2007) 1 [hep-th/0604151] [INSPIRE].
S.A. Cherkis and A. Kapustin, Singular monopoles and supersymmetric gauge theories in three-dimensions, Nucl. Phys. B 525 (1998) 215 [hep-th/9711145] [INSPIRE].
B. Assel and A. Sciarappa, Wilson loops in 5d 𝒩 = 1 theories and S-duality, JHEP 10 (2018) 082 [arXiv:1806.09636] [INSPIRE].
A. Tomasiello, Geometry of String Theory Compactifications, Cambridge University Press (2022) [https://doi.org/10.1017/9781108635745] [INSPIRE].
S.F. Hassan, T duality, space-time spinors and RR fields in curved backgrounds, Nucl. Phys. B 568 (2000) 145 [hep-th/9907152] [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].
K. Sfetsos and D.C. Thompson, On non-abelian T-dual geometries with Ramond fluxes, Nucl. Phys. B 846 (2011) 21 [arXiv:1012.1320] [INSPIRE].
G. Itsios, C. Núñez, K. Sfetsos and D.C. Thompson, Non-Abelian T-duality and the AdS/CFT correspondence:new N = 1 backgrounds, Nucl. Phys. B 873 (2013) 1 [arXiv:1301.6755] [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].
B. Assel, C. Bachas, J. Estes and J. Gomis, Holographic Duals of D = 3 N = 4 Superconformal Field Theories, JHEP 08 (2011) 087 [arXiv:1106.4253] [INSPIRE].
Acknowledgments
We are supported by grants from the Spanish government MCIU-22-PID2021-123021NBI00 and Principality of Asturias SV-PA-21-AYUD/2021/52177. The work of NM is also supported by the Ramón y Cajal fellowship RYC2021-033794-I.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 2304.11003
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
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.
About this article
Cite this article
Conti, A., Lozano, Y. & Macpherson, N.T. New AdS2/CFT1 pairs from AdS3 and monopole bubbling. J. High Energ. Phys. 2023, 41 (2023). https://doi.org/10.1007/JHEP07(2023)041
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2023)041