Skip to main content
SpringerLink
Log in

BPS-Domain Walls for the Gaugino Condensate of \(N = 1\) Super-Yang–Mills Theory

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

We consider the role of a 3-form gauge field and a dynamical supermembrane coupled to the former in the Veneziano–Yankielowicz effective field theory describing the gaugino condensate of \(\mathcal{N} = 1\), \(D = 4\) SYM. In particular, we show how these objects provide a self-consistent description of BPS domain walls interpolating between two different SYM vacua and get their explicit shape by solving corresponding BPS equations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.

Similar content being viewed by others

Notes

  1. Here we have denoted \({{K}_{s}} \equiv \tfrac{{\partial K}}{{\partial s}}\), \({{K}_{{s\bar {s}}}} \equiv \tfrac{{{{\partial }^{2}}K}}{{\partial s\partial \bar {s}}}\), \({{W}_{s}} \equiv \tfrac{{\partial W}}{{\partial s}}\) etc.

REFERENCES

  1. G. R. Dvali and M. A. Shifman, “Domain walls in strongly coupled theories,” Phys. Lett. B 396, 64–69 (1997); hep-th/9612128; Phys. Lett. B 407, 452(E) (1997). https://doi.org/10.1016/S0370-2693(97)00808-3https://doi.org/10.1016/S0370-2693(97)00131-7

  2. G. Veneziano and S. Yankielowicz, “An effective Lagrangian for the pure N = 1 supersymmetric Yang–Mills theory,” Phys. Lett. B 113, 231 (1982). https://doi.org/10.1016/0370-2693(82)90828-0

    Article  ADS  Google Scholar 

  3. A. Kovner and M. A. Shifman, “Chirally symmetric phase of supersymmetric gluodynamics,” Phys. Rev. D 56, 2396–2402 (1997); hep-th/9702174. https://doi.org/10.1103/PhysRevD.56.2396

    Article  ADS  Google Scholar 

  4. I. Bandos, S. Lanza, and D. Sorokin, “Supermembranes and domain walls in N = 1, D = 4 SYM,” JHEP 12 (2019) 021, JHEP 05 (2020) 031 (erratum); arxiv: 1905.02743 [hep-th]. https://doi.org/10.1007/JHEP12(2019)021

  5. F. Farakos, S. Lanza, L. Martucci, and D. Sorokin, “Three-forms in supergravity and flux compactifications,” Eur. Phys. J. C 77, 602 (2017); arXiv: 1706.09422 [hep-th]. https://doi.org/10.1140/epjc/s10052-017-5185-y

  6. I. Bandos, F. Farakos, S. Lanza, L. Martucci, and D. Sorokin, “Three-forms, dualities and membranes in four-dimensional supergravity,” J. High Energy Phys. 1807, 028 (2018); arXiv: 1803.01405 [hep-th]. https://doi.org/10.1007/JHEP07(2018)028

  7. I. A. Bandos and C. Meliveo, “Three form potential in (special) minimal supergravity superspace and supermembrane supercurrent,” J. Phys.: Conf. Ser. 343, 012012 (2012); arXiv: 1107.3232 [hep-th]. https://doi.org/10.1088/1742-6596/343/1/012012

    Article  MATH  Google Scholar 

  8. I. I. Kogan, A. Kovner, and M. A. Shifman, “More on supersymmetric domain walls, N counting and glued potentials,” Phys. Rev. D 57, 5195–5213 (1998); arXiv: hep-th/9712046. https://doi.org/10.1103/PhysRevD.57.5195

    Article  ADS  MathSciNet  Google Scholar 

  9. E. Witten, “Constraints on supersymmetry breaking,” Nucl. Phys. B 202, 253 (1982). https://doi.org/10.1016/0550-3213(82)90071-2

    Article  ADS  MathSciNet  Google Scholar 

  10. M. A. Shifman and A. I. Vainshtein, “On Gluino condensation in supersymmetric Gauge theories. SU(N) and O(N) groups,” Nucl. Phys. B 296, 445 (1988);

    Article  ADS  Google Scholar 

  11. Sov. Phys. JETP 66, 1100 (1987). https://doi.org/10.1016/0550-3213(88)90680-3

  12. A. Kovner, M. A. Shifman, and A. V. Smilga, “Domain walls in supersymmetric Yang–Mills theories,” Phys. Rev. D 56, 7978–7989 (1997); arXiv: hep-th/9706089. https://doi.org/10.1103/PhysRevD.56.7978

    Article  ADS  MathSciNet  Google Scholar 

  13. C. P. Burgess, J. P. Derendinger, F. Quevedo, and M. Quiros, “Gaugino condensates and chiral linear duality: An effective Lagrangian analysis,” Phys. Lett. B 348, 428–442 (1995); arXiv: hep-th/9501065. https://doi.org/10.1016/0370-2693(95)00183-L

    Article  ADS  Google Scholar 

  14. S. J. Gates, Jr., “Super P-form Gauge superfields,” Nucl. Phys. B 184, 381–390 (1981). https://doi.org/10.1016/0550-3213(81)90225-X

    Article  ADS  Google Scholar 

  15. G. M. Shore, “Constructing effective actions for supersymmetry theories. 1. Symmetry principles and Ward identities,” Nucl. Phys. B 222, 446–472 (1983). https://doi.org/10.1016/0550-3213(83)90544-8

    Article  ADS  Google Scholar 

  16. K. Groh, J. Louis, and J. Sommerfeld, “Duality and couplings of 3-form-multiplets in N = 1 supersymmetry,” J. High Energy Phys. 1305, 001 (2013); arXiv: 1212.4639 [hep-th]. https://doi.org/10.1007/JHEP05(2013)001

  17. F. Farakos, S. Lanza, L. Martucci, and D. Sorokin, “Three-forms, supersymmetry and string compactifications,” Phys. Part. Nucl. 49, 823–828 (2018); arXiv: 1712.09366 [hep-th]. https://doi.org/10.1134/S1063779618050192

  18. A. V. Smilga and A. I. Veselov, “Domain walls zoo in supersymmetric QCD,” Nucl. Phys. B 515, 163–183 (1998); arXiv: hep-th/9710123. https://doi.org/10.1016/S0550-3213(97)00832-8

    Article  ADS  MathSciNet  MATH  Google Scholar 

  19. M. Shifman and A. Yung, Supersymmetric Solitons, Cambridge Monographs on Mathematical Physics (Cambridge Univ. Press, Cambridge, 2009). http://www.cambridge.org/catalogue/catalogue.aspısbn—80521516389. https://doi.org/10.1017/CBO9780511575693

  20. V. Bashmakov, F. Benini, S. Benvenuti, and M. Bertolini, “Living on the walls of super-QCD,” SciPost Phys. 6 (4), 044 (2019); arXiv: 1812.04645 [hep-th]. https://doi.org/10.21468/SciPostPhys.6.4.044

  21. I. A. Bandos and C. Meliveo, “Superfield equations for the interacting system of D = 4 N = 1 supermembrane and scalar multiplet,” Nucl. Phys. B 849, 1–27 (2011); arXiv: 1011.1818 [hep-th]. https://doi.org/10.1016/j.nuclphysb.2011.03.010

    Article  ADS  MathSciNet  MATH  Google Scholar 

  22. P. Binetruy, F. Pillon, G. Girardi, and R. Grimm, “The three form multiplet in supergravity,” Nucl. Phys. B 477, 175–202 (1996); arXiv: hep-th/9603181. https://doi.org/10.1016/0550-3213(96)00370-7

    Article  ADS  MATH  Google Scholar 

  23. E. Bergshoeff, R. Kallosh, T. Ortin, and G. Papadopoulos, “Kappa-symmetry, supersymmetry and intersecting branes,” Nucl. Phys. B 502, 149–169 (1997); arXiv: hep-th/9705040. https://doi.org/10.1016/S0550-3213(97)00470-7

    Article  ADS  MATH  Google Scholar 

  24. I. A. Bandos, J. A. de Azcarraga, and J. M. Izquierdo, “Supergravity interacting with bosonic p-branes and local supersymmetry,” Phys. Rev. D 65, 105010 (2002); arXiv: hep-th/0112207. https://doi.org/10.1103/PhysRevD.65.105010

    Article  ADS  MathSciNet  Google Scholar 

  25. I. A. Bandos, J. A. de Azcarraga, J. M. Izquierdo, and J. Lukierski, “On dynamical supergravity interacting with super p-brane sources,” in Proceedings of the 3rd International Sakharov Conference on Physics Moscow, Russia, June 24–29,2002; arXiv: hep-th/0211065.

  26. E. R. C. Abraham and P. K. Townsend, “Intersecting extended objects in supersymmetric field theories,” Nucl. Phys. B 351, 313–332 (1991). https://doi.org/10.1016/0550-3213(91)90093-D

    Article  ADS  MathSciNet  Google Scholar 

Download references

Funding

Work of I.B. was supported in part by the Spanish MINECO/FEDER (ERDF EU) grant PGC2018-095205-B-I00, the Basque Government Grant IT-979-16 and the Basque Country University program UFI 11/55. Work of D.S. was supported in part by the Australian Research Council project no. DP160103633.

Author information

Authors and Affiliations

  1. Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080 Bilbao; IKERBASQUE, Basque Foundation for Science, 48011, Bilbao, Spain

    I. Bandos

  2. Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università degli Studi di Padova; I.N.F.N. Sezione di Padova, 35131, Padova, Italy

    S. Lanza & D. Sorokin

Authors
  1. I. Bandos
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Lanza
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. Sorokin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. Bandos.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bandos, I., Lanza, S. & Sorokin, D. BPS-Domain Walls for the Gaugino Condensate of \(N = 1\) Super-Yang–Mills Theory. Phys. Part. Nuclei Lett. 17, 654–659 (2020). https://doi.org/10.1134/S1547477120050052

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477120050052

Search

Navigation