Skip to main content
SpringerLink
Log in
Book cover

Progress in String Theory and M-Theory pp 265–296Cite as

Brane Theory Solitons

  • Chapter

Part of the book series: NATO Science Series ((ASIC,volume 564))

Abstract

Field theories that describe small fluctuations of branes are limits of ‘brane theories’ that describe large fluctuations. In particular, supersymmetric sigma-models arise in this way. These lectures discuss the soliton solutions of the associated ’brane theories’ and their relation to calibrations.

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. P. Gauntlett, C. Koehl, D. Mateos, P.K. Townsend and M. Zamaklar, Finite energy Dirac-Born-Infeld monopoles and stringjunctions, Phys. Rev. D60 (1999) 045004.

    MathSciNet  ADS  Google Scholar 

  2. E. Bergshoeff and P.K. Townsend, Solitons on the Supermembrane, JHEP 9905:021 (1999).

    Article  MathSciNet  ADS  Google Scholar 

  3. A.S. Schwarz, Supergravity and field-space democracy, Nucl. Phys. B 171, (1980) 154; A.V. Gayduk, V.N. Romanov and A.S. Schwarz, Supergravity and field-space democracy, Commun. Math. Phys. 79 (1981) 507.

    Article  ADS  Google Scholar 

  4. J.P. Gauntlett, J. Gomis and P.K. Townsend, BPS bounds for worldvolume branes, JHEP 9801:003 (1998).

    Article  MathSciNet  ADS  Google Scholar 

  5. R. Harvey and H.B. Lawson, Calibrated geometries, Acta. Math. 148 (1982) 47.

    Article  MathSciNet  MATH  Google Scholar 

  6. J. Gutowski, G. Papadopoulos and P.K. Townsend, Supersymmetry and generalized calibrations, Phys. Rev. D60 (1999) 106006.

    MathSciNet  Google Scholar 

  7. K. Becker, M. Becker and A. Strominger, Fivebranes, membranes and non-perturbative string theory, Nucl. Phys. B456 (1995) 130.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. K. Becker, M. Becker, D.R. Morrison, H. Ooguri and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau 4-folds, Nucl. Phys. B480 (1996) 225.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. G.W. Gibbons and G. Papadopoulos, Calibrations and intersecting branes, Commun. Math. Phys. 202 (1999) 571.

    Article  MathSciNet  ADS  Google Scholar 

  10. J. P. Gauntlett, N.D. Lambert and P.C. West, Branes and calibrated geometries, Commun. Math. Phys. 202 (1999) 593.

    Article  MathSciNet  ADS  Google Scholar 

  11. B.S. Acharya, J.M. Figueroa-O’Farrill and B. Spence, Branes at angles and calibrations, JHEP 04:012 (1998).

    Google Scholar 

  12. L. Randall and R. Sundrum, An alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. C. Chryssomalakos, J. A. de Azcarraga, J.M. Izquierdo and J. C. Perez-Bueno, The geometry of branes and extended superspaces, Nucl. Phys. 567B (2000) 293.

    Article  Google Scholar 

  14. E. Bergshoeff, E. Sezgin, Y. Tanii, Hamiltonian formulation of the supermembrane, Nucl. Phys. B298 (1988) 187; J. A. de Azcarraga, J.M. Izquierdo and P.K. Townsend, Classical anomalies of supersymmetric extended objects, Phys. Lett. 267B (1991) 366.

    Article  MathSciNet  ADS  Google Scholar 

  15. J. Hughes and J. Polchinski, Partially broken global supersymmetry and the superstring, Nucl. Phys. B278 (1986) 147; J. P. Gauntlett, Current algebra of the D=3 superstring and partial breaking of supersymmetry, Phys. Lett. 228B (1989) 188; A. Achiicarro, J. Gauntlett, K. Itoh and P.K. Townsend, World-volume supersymmetry from spacetime supersymmetry of the four dimensional supermembrane, Nucl. Phys. B314 (1989) 129.

    Article  MathSciNet  ADS  Google Scholar 

  16. J. A. de Azcarraga, J.P. Gauntlett, J.M. Izquierdo and P.K. Townsend, Topological extensions ofthe supersymmetry algebra for extended objects, Phys. Rev. Lett. 63 (1989) 2443.

    Article  MathSciNet  ADS  Google Scholar 

  17. B. Zumino, Supersymmetry and Kahler manifolds, Phys. Lett. 87B (1979) 203.

    ADS  Google Scholar 

  18. L. Alvarez-Gaume and D.Z. Freedman, Ricci flat Kahler manifolds and supersymmetry, Phys. Lett. 94B (1980) 171.

    ADS  Google Scholar 

  19. A.M. Perelomov, Instantons and Kahler manifolds, Commun. Math. Phys. 63 (1978) 237; R.S. Ward, Slowly moving lumps in the CP 1 model in (2+1)dimensions, Phys. Lett. 158B (1985) 424; P.J. Ruback, Sigma model solitons and their moduli space metrics, Commun. Math. Phys. 116 (1988) 645.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. G.W. Gibbons and P.J. Ruback, The hidden symmetries of multicentre metrics, Commun. Math. Phys. 115 (1988) 267.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. E.B. Bogomol’nyi, The stability of classical solutions, Sov. J. Nucl. Phys. 24 (1976) 449.

    MathSciNet  Google Scholar 

  22. C. Callan and J. Maldacena, Brane dynamics from the Born-Infeld action, Nucl. Phys. B513 (1998) 198; G.W. Gibbons, Born-Infeld particles and Dirichlet p-branes, Nucl. Phys. B514 (1998) 603.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  23. E. Bergshoeff, E. Sezgin and P.K. Townsend, Supermembranes and 11 dimensional supergravity, Phys. Lett. 189B (1987) 75; Properties of the eleven-dimensional supermembrane theory, Ann. Phys. (N.Y.) 185 (1988) 330.

    MathSciNet  ADS  Google Scholar 

  24. S.K. Han and LG. Koh, N=4 remaining supersymmetry in a KaluzaKlein monopole background in D=11 supergravity, Phys. Rev. D31 (1985) 2503; P.K. Townsend, The eleven-dimensional supermembrane revisited, Phys. Lett. 350B, (1995) 184.

    MathSciNet  ADS  Google Scholar 

  25. P.K. Townsend, M-theory from its superalgebra, in Strings, Branes and Dualities, (Cargèse lectures 1997), eds. L. Baulieu, P. Di Francesco, M. Douglas, V. Kazakov, M. Picco and P. Windey (Kluwer 1999) pp. 141–177; hep-th/9712004.

    Google Scholar 

  26. E. Bergshoeff, M.J. Duff, C.N. Pope and E. Sezgin, Supersymmetric supermembrane vacua and singletons, Phys. Lett. 199B (1987) 69.

    MathSciNet  ADS  Google Scholar 

  27. E. Bergshoeff, R. Kallosh, T. Ortín and G. Papadopoulos, Kappasymmetry, supersymmetry and intersecting branes, Nucl. Phys. B502 (1997) 149.

    Article  ADS  MATH  Google Scholar 

  28. A. Karch, D. Lust and A. Miemiec, N=1 supersymmetric gauge theories and supersymmetric 3-cycles, Nucl. Phys. B553 (1999) 483.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  29. P.K. Townsend, PhreMology: calibrating M-branes, Class. Quantum Grav. 17 (2000) 1267.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  30. J. P. Gauntlett, N.D. Lambert and P.C. West, Supersymmetric fivebrane solitons, Adv. Theor. Math. Phys. 3 (1999) 106006; J.P. Gauntlett, Membranes on fivebranes, hep-th/9906162

    MathSciNet  Google Scholar 

  31. M. Marino, R. Minasian, G. Moore, A. Strominger, Non-linear instantons from supersymmetric p-branes, JHEP 0001:005 (2000).

    Google Scholar 

  32. O. Barwell, N.D. Lambert and P.C. West, On the energy momentum tensor of the M-theory fivebrane, Phys. Lett. B459 (1999) 125.

    MathSciNet  Google Scholar 

  33. J. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231.

    MathSciNet  ADS  MATH  Google Scholar 

  34. P. Claus, R. Kallosh, J. Kumar, P.K. Townsend and A. Van Proeyen, Conformal theory of M2, D3, M5 and ‘D1+D5’ branes, JHEP 9806:004 (1998).

    Google Scholar 

  35. S. Gubser, AdS/CFT and gravity, hep-th/9912001; C.S. Chang, P.L. Paul and H. Verlinde, A note on warped string compactification, hep-th/0003236.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre for Mathematical Science, University of Cambridge, Wilberforce road, Cambridge, UK

    P. K. Townsend

Authors
  1. P. K. Townsend
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. CNRS and Université Pierre & Marie Curie (Paris VI), Paris, France

    Laurent Baulieu  & Marco Picco  & 

  2. DAMTP, University of Cambridge, Cambridge, Great Britain

    Michael Green

  3. Université Pierre & Marie Curie (Paris VI), Paris, France

    Paul Windey

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Townsend, P.K. (2001). Brane Theory Solitons. In: Baulieu, L., Green, M., Picco, M., Windey, P. (eds) Progress in String Theory and M-Theory. NATO Science Series, vol 564. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0852-5_8

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0852-5_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7034-5

  • Online ISBN: 978-94-010-0852-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation