Deformation of \( \mathcal{N} \) = 4 SYM with varying couplings via fluxes and intersecting branes

  • Jaewang Choi
  • José J. Fernández-Melgarejo
  • Shigeki Sugimoto
Open Access
Regular Article - Theoretical Physics
  • 18 Downloads

Abstract

We study deformations of \( \mathcal{N} \) = 4 supersymmetric Yang-Mills theory with space-time dependent couplings by embedding probe D3-branes in supergravity backgrounds with non-trivial fluxes. The effective action on the world-volume of the D3-branes is analyzed and a map between the deformation parameters and the fluxes is obtained. As an explicit example, we consider D3-branes in a background corresponding to (p, q) 5-branes intersecting them and show that the effective theory on the D3-branes precisely agrees with the supersymmetric Janus configuration found by Gaiotto and Witten in [1]. D3-branes in an intersecting D3-brane background is also analyzed and the D3-brane effective action reproduces one of the supersymmetric configurations with ISO(1, 1) × SO(2) × SO(4) symmetry found in our previous paper [2].

Keywords

Brane Dynamics in Gauge Theories Gauge-gravity correspondence 

Notes

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.

References

  1. [1]
    D. Gaiotto and E. Witten, Janus Configurations, Chern-Simons Couplings, And The theta-Angle in N = 4 Super Yang-Mills Theory, JHEP 06 (2010) 097 [arXiv:0804.2907] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  2. [2]
    J. Choi, J.J. Fernandez-Melgarejo and S. Sugimoto, Supersymmetric Gauge Theory with Space-time Dependent Couplings, PTEP 2018 (2018) 013B01 [arXiv:1710.09792] [INSPIRE].
  3. [3]
    P.G. Camara, L.E. Ibáñez and A.M. Uranga, Flux induced SUSY breaking soft terms, Nucl. Phys. B 689 (2004) 195 [hep-th/0311241] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  4. [4]
    M. Graña, T.W. Grimm, H. Jockers and J. Louis, Soft supersymmetry breaking in Calabi-Yau orientifolds with D-branes and fluxes, Nucl. Phys. B 690 (2004) 21 [hep-th/0312232] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  5. [5]
    C.P. Burgess et al., Warped Supersymmetry Breaking, JHEP 04 (2008) 053 [hep-th/0610255] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  6. [6]
    P. McGuirk, G. Shiu and F. Ye, Soft branes in supersymmetry-breaking backgrounds, JHEP 07 (2012) 188 [arXiv:1206.0754] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  7. [7]
    C. Kim, E. Koh and K.-M. Lee, Janus and Multifaced Supersymmetric Theories, JHEP 06 (2008) 040 [arXiv:0802.2143] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  8. [8]
    C. Kim, E. Koh and K.-M. Lee, Janus and Multifaced Supersymmetric Theories II, Phys. Rev. D 79 (2009) 126013 [arXiv:0901.0506] [INSPIRE].ADSMathSciNetGoogle Scholar
  9. [9]
    T. Maxfield, Supergravity Backgrounds for Four-Dimensional Maximally Supersymmetric Yang-Mills, JHEP 02 (2017) 065 [arXiv:1609.05905] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  10. [10]
    J.A. Harvey and A.B. Royston, Localized modes at a D-brane-O-plane intersection and heterotic Alice strings, JHEP 04 (2008) 018 [arXiv:0709.1482] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  11. [11]
    E.I. Buchbinder, J. Gomis and F. Passerini, Holographic gauge theories in background fields and surface operators, JHEP 12 (2007) 101 [arXiv:0710.5170] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  12. [12]
    J.A. Harvey and A.B. Royston, Gauge/Gravity duality with a chiral N = (0, 8) string defect, JHEP 08 (2008) 006 [arXiv:0804.2854] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  13. [13]
    L. Martucci, Topological duality twist and brane instantons in F-theory, JHEP 06 (2014) 180 [arXiv:1403.2530] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  14. [14]
    C. Lawrie, S. Schäfer-Nameki and T. Weigand, Chiral 2d theories from N = 4 SYM with varying coupling, JHEP 04 (2017) 111 [arXiv:1612.05640] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  15. [15]
    C. Couzens, C. Lawrie, D. Martelli, S. Schäfer-Nameki and J.-M. Wong, F-theory and AdS 3 /CFT 2, JHEP 08 (2017) 043 [arXiv:1705.04679] [INSPIRE].ADSCrossRefGoogle Scholar
  16. [16]
    L. Martucci, J. Rosseel, D. Van den Bleeken and A. Van Proeyen, Dirac actions for D-branes on backgrounds with fluxes, Class. Quant. Grav. 22 (2005) 2745 [hep-th/0504041] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  17. [17]
    E. Bergshoeff, H.J. Boonstra and T. Ortín, S duality and dyonic p-brane solutions in type-II string theory, Phys. Rev. D 53 (1996) 7206 [hep-th/9508091] [INSPIRE].
  18. [18]
    J.X. Lu and S. Roy, An SL(2, Z) multiplet of type IIB super five-branes, Phys. Lett. B 428 (1998) 289 [hep-th/9802080] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  19. [19]
    P.M. Llatas, A.V. Ramallo and J.M. Sanchez de Santos, World volume solitons of the D3-brane in the background of (p, q) five-branes, Int. J. Mod. Phys. A 15 (2000) 4477 [hep-th/9912177] [INSPIRE].ADSMathSciNetMATHGoogle Scholar
  20. [20]
    P.G. Camara, L.E. Ibáñez and A.M. Uranga, Flux-induced SUSY-breaking soft terms on D7-D3 brane systems, Nucl. Phys. B 708 (2005) 268 [hep-th/0408036] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  21. [21]
    R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  22. [22]
    J. Polchinski, String theory. Vol. 2: Superstring theory and beyond, Cambridge University Press, Cambridge U.K. (2007).Google Scholar

Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Center for Gravitational Physics, Yukawa Institute for Theoretical PhysicsKyoto UniversityKyotoJapan
  2. 2.Departamento de FísicaUniversidad de Murcia, Campus de EspinardoMurciaSpain
  3. 3.Kavli Institute for the Physics and Mathematics of the Universe (WPI)The University of TokyoKashiwaJapan

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