Abstract
We find the range of parameters for which the open string physics on probe Dq-branes in the near-horizon geometry of Dp-branes decouples from gravity, and is well-approximated by a (q+1)-dimensional supersymmetric Yang-Mills-Higgs theory on a rigid curved spacetime. We study the vacua of these theories, which include moduli spaces of instantons, monopoles, and vortices. This intricate structure is made possible through couplings to the background Ramond-Ramond flux. The probe brane theories we study provide holographic descriptions of defects in dual field theories.
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References
S.K. Donaldson, Polynomial invariants for smooth manifolds, Topology29 (1990) 257 [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].
E. Witten, Fivebranes and Knots, arXiv:1101.3216 [INSPIRE].
T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys.113 (2005) 843 [hep-th/0412141] [INSPIRE].
E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys.2 (1998) 505 [hep-th/9803131] [INSPIRE].
A. Cherman and T. Ishii, Long-distance properties of baryons in the Sakai-Sugimoto model, Phys. Rev.D 86 (2012) 045011 [arXiv:1109.4665] [INSPIRE].
S. Bolognesi and P. Sutcliffe, The Sakai-Sugimoto soliton, JHEP01 (2014) 078 [arXiv:1309.1396] [INSPIRE].
D.K. Hong, M. Rho, H.-U. Yee and P. Yi, Chiral Dynamics of Baryons from String Theory, Phys. Rev.D 76 (2007) 061901 [hep-th/0701276] [INSPIRE].
N.S. Manton, A Remark on the Scattering of BPS Monopoles, Phys. Lett.110B (1982) 54 [INSPIRE].
G. Festuccia and N. Seiberg, Rigid Supersymmetric Theories in Curved Superspace, JHEP06 (2011) 114 [arXiv:1105.0689] [INSPIRE].
T.T. Dumitrescu, G. Festuccia and N. Seiberg, Exploring Curved Superspace, JHEP08 (2012) 141 [arXiv:1205.1115] [INSPIRE].
D. Butter, G. Inverso and I. Lodato, Rigid 4D \( \mathcal{N} \) = 2 supersymmetric backgrounds and actions, JHEP09 (2015) 088 [arXiv:1505.03500] [INSPIRE].
T. Maxfield, D. Robbins and S. Sethi, A Landscape of Field Theories, JHEP11 (2016) 162 [arXiv:1512.03999] [INSPIRE].
H. Triendl, Supersymmetric branes on curved spaces and fluxes, JHEP11 (2015) 025 [arXiv:1509.02926] [INSPIRE].
R.C. Myers, Dielectric branes, JHEP12 (1999) 022 [hep-th/9910053] [INSPIRE].
M. Aganagic, C. Popescu and J.H. Schwarz, D-brane actions with local kappa symmetry, Phys. Lett.B 393 (1997) 311 [hep-th/9610249] [INSPIRE].
M. Aganagic, C. Popescu and J.H. Schwarz, Gauge invariant and gauge fixed D-brane actions, Nucl. Phys.B 495 (1997) 99 [hep-th/9612080] [INSPIRE].
M. Cederwall, A. von Gussich, B.E.W. Nilsson, P. Sundell and A. Westerberg, The Dirichlet super p-branes in ten-dimensional type IIA and IIB supergravity, Nucl. Phys.B 490 (1997) 179 [hep-th/9611159] [INSPIRE].
E. Bergshoeff and P.K. Townsend, Super D-branes, Nucl. Phys.B 490 (1997) 145 [hep-th/9611173] [INSPIRE].
S.K. Domokos and A.B. Royston, Holography for field theory solitons, JHEP07 (2017) 065 [arXiv:1706.00425] [INSPIRE].
A. Karch and L. Randall, Localized gravity in string theory, Phys. Rev. Lett.87 (2001) 061601 [hep-th/0105108] [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].
J. Erdmenger, Z. Guralnik and I. Kirsch, Four-dimensional superconformal theories with interacting boundaries or defects, Phys. Rev.D 66 (2002) 025020 [hep-th/0203020] [INSPIRE].
J. Polchinski, String theory. Vol. 2: Superstring theory and beyond, Cambridge University Press (2007) [INSPIRE].
A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP06 (2002) 043 [hep-th/0205236] [INSPIRE].
S. Yamaguchi, Holographic RG flow on the defect and g theorem, JHEP10 (2002) 002 [hep-th/0207171] [INSPIRE].
G.T. Horowitz and A. Strominger, Black strings and P-branes, Nucl. Phys.B 360 (1991) 197 [INSPIRE].
M.J. Duff and J.X. Lu, Black and super p-branes in diverse dimensions, Nucl. Phys.B 416 (1994) 301 [hep-th/9306052] [INSPIRE].
N. Itzhaki, J.M. Maldacena, J. Sonnenschein and S. Yankielowicz, Supergravity and the large N limit of theories with sixteen supercharges, Phys. Rev.D 58 (1998) 046004 [hep-th/9802042] [INSPIRE].
H.J. Boonstra, K. Skenderis and P.K. Townsend, The domain wall/QFT correspondence, JHEP01 (1999) 003 [hep-th/9807137] [INSPIRE].
A.W. Peet and J. Polchinski, UV/IR relations in AdS dynamics, Phys. Rev.D 59 (1999) 065011 [hep-th/9809022] [INSPIRE].
L. Susskind and E. Witten, The Holographic bound in anti-de Sitter space, hep-th/9805114 [INSPIRE].
O. Aharony, M. Berkooz, D. Kutasov and N. Seiberg, Linear dilatons, NS five-branes and holography, JHEP10 (1998) 004 [hep-th/9808149] [INSPIRE].
D. Arean, A.V. Ramallo and D. Rodriguez-Gomez, Holographic flavor on the Higgs branch, JHEP05 (2007) 044 [hep-th/0703094] [INSPIRE].
E. Witten, Small instantons in string theory, Nucl. Phys.B 460 (1996) 541 [hep-th/9511030] [INSPIRE].
M.R. Douglas, Branes within branes, NATO Sci. Ser. C520 (1999) 267 [hep-th/9512077] [INSPIRE].
M.F. Atiyah, N.J. Hitchin, V.G. Drinfeld and Y.I. Manin, Construction of Instantons, Phys. Lett.A 65 (1978) 185 [INSPIRE].
E. Witten, σ-models and the ADHM construction of instantons, J. Geom. Phys.15 (1995) 215 [hep-th/9410052] [INSPIRE].
M.R. Douglas, Gauge fields and D-branes, J. Geom. Phys.28 (1998) 255 [hep-th/9604198] [INSPIRE].
J.L.F. Barbon and A. Pasquinucci, D0-branes, constrained instantons and D = 4 superYang-Mills theories, Nucl. Phys.B 517 (1998) 125 [hep-th/9708041] [INSPIRE].
N. Dorey, T.J. Hollowood, V.V. Khoze, M.P. Mattis and S. Vandoren, Multi-instanton calculus and the AdS/CFT correspondence in N = 4 superconformal field theory, Nucl. Phys.B 552 (1999) 88 [hep-th/9901128] [INSPIRE].
N. Dorey, T.J. Hollowood, V.V. Khoze and M.P. Mattis, The Calculus of many instantons, Phys. Rept.371 (2002) 231 [hep-th/0206063] [INSPIRE].
N.J. Hitchin, The Selfduality equations on a Riemann surface, Proc. Lond. Math. Soc.55 (1987) 59 [INSPIRE].
M.A. Lohe, Two-Dimensional and Three-Dimensional Instantons, Phys. Lett.70B (1977) 325 [INSPIRE].
C. Saclioglu, A String-Like Selfdual Solution of Yang-Mills Theory, Nucl. Phys.B 178 (1981) 361 [INSPIRE].
C.K. Saclioglu, Liouville and Painlevé equations and Yang-Mills strings, J. Math. Phys.25 (1984) 3214 [INSPIRE].
D. Gaiotto, G.W. Moore and A. Neitzke, Wall-crossing, Hitchin Systems and the WKB Approximation, arXiv:0907.3987 [INSPIRE].
R. Mazzeo, J. Swoboda, H. Weiss and F. Witt, Ends of the moduli space of Higgs bundles, Duke Math. J.165 (2016) 2227 [arXiv:1405.5765] [INSPIRE].
R.S. Ward, Geometry of solutions of Hitchin equations on ℝ2, Nonlinearity29 (2016) 756 [arXiv:1504.05746].
G.W. Moore, A.B. Royston and D. Van den Bleeken, Brane bending and monopole moduli, JHEP10 (2014) 157 [arXiv:1404.7158] [INSPIRE].
M. Bershadsky, A. Johansen, V. Sadov and C. Vafa, Topological reduction of 4-D SYM to 2-D 𝜎-models, Nucl. Phys.B 448 (1995) 166 [hep-th/9501096] [INSPIRE].
D.-E. Diaconescu, D-branes, monopoles and Nahm equations, Nucl. Phys.B 503 (1997) 220 [hep-th/9608163] [INSPIRE].
A. Kapustin and S. Sethi, The Higgs branch of impurity theories, Adv. Theor. Math. Phys.2 (1998) 571 [hep-th/9804027] [INSPIRE].
T. Banks and M.B. Green, Non-perturbative effects in AdS5 × S5string theory and d = 4 SUSY Yang-Mills, JHEP05 (1998) 002 [hep-th/9804170] [INSPIRE].
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Domokos, S.K., Royston, A.B. Nonabelian probes in holography. J. High Energ. Phys. 2019, 27 (2019). https://doi.org/10.1007/JHEP10(2019)027
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DOI: https://doi.org/10.1007/JHEP10(2019)027