Making manifest the symmetry enhancement for coinciding BPS branes

  • Sergei V. Ketov
Super p-Branes And M-Theory
Part of the Lecture Notes in Physics book series (LNP, volume 524)


We consider g=N−1 coinciding M-5-branes on top of each other, in the multiple KK monopole background Q. The worldvolume of an M-5-brane is the local product of the four-dimensional spacetime R 1,3 and an elliptic curve. Taken together, these genus-one Riemann surfaces are supposed to give a single (Seiberg-Witten) hyperelliptic curve Σ g in the coincidence limit, where the gauge symmetry is known to be enhanced to SU(N). We make this gauge symmetry enhancement manifest by analyzing the corresponding hypermultiplet LEEA which is given by the N=2 non-linear sigma-model having Q as the target space. The hyper-Kähler manifold Q is known to be given by the multicentre Taub-NUT space, which in the coincidence limit amounts to the multiple Eguchi-Hanson (ALE) space Q mEH. The latter is most naturally described by using the hyper-Kähler coset construction in harmonic superspace, in terms of the auxiliary N=2 vector superfields as Lagrange multipliers in the presence of FI terms. The Maldacena limit, in which the LEEA is given by the N=4 SYM with the gauge group SU(N), corresponds to sending all the FI terms to zero at large N, when all the auxiliary N=2 vector superfields become dynamical.


Gauge Symmetry Vector Multiplet Coulomb Branch Effective Field Theory Hyperelliptic Curve 
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  1. Atiyah, M.F., Hitchin, N.J. (1988): The Geometry and Dynamics of Magnetic Monopoles. (Princeton University Press, Princeton) pp. 1–134zbMATHGoogle Scholar
  2. Gibbons, G.W., Olivier, D., Ruback, P.J., Valent, G., (1988): Multicentre metrics and harmonic superspace. Nucl. Phys. B296, 679–696CrossRefADSMathSciNetGoogle Scholar
  3. Hull, C.M., Townsend, P.K. (1995): Enhanced gauge symmetries in superstring theories. Nucl. Phys. B451, 525–546CrossRefADSMathSciNetGoogle Scholar
  4. Ivanov, E.A., Ketov, S.V., Zupnik, B.M. (1997): Induced hypermultiplet selfinteractions in N=2 gauge theories. Nucl. Phys. B509, 53–82ADSMathSciNetGoogle Scholar
  5. Karch, A., Lüst, D., Smith, D.J. (1998): Equivalence of geometric engineering and Hanany-Witten via fractional branes. Berlin preprint HUB-EP 98/22, 31 pages; hep-th/9803232Google Scholar
  6. Ketov, S.V., (1997): Solitons, Monopoles and Duality. Fortschr. Phys. 45, 237–292zbMATHMathSciNetCrossRefGoogle Scholar
  7. Ketov, S.V., (1998): Analytic tools to brane technology in N=2 gauge theories with matter. DESY and Hannover preprint, DESY 98-059 and ITP-UH-12/98, 80 pages; hep-th/9806009Google Scholar
  8. Klemm, A., Lerche, P., Mayr, P., Vafa, C., Warner, N. (1996): Self-dual strings and N=2 supersymmetric field theory. Nucl. Phys. B477, 746–766CrossRefADSMathSciNetGoogle Scholar
  9. Maldacena, J. (1997): The large N limit of superconformal field theories and supergravity. Harvard preprint HUTP-97/AO97, 21 pages; hep-th/9711200Google Scholar
  10. Mikhailov, A., (1997): BPS states and minimal surfaces. Moscow and Princeton preprint, ITEP-TH-33/97 and PUTP-1714, 31 pages; hep-th/9708068Google Scholar
  11. Polyakov, A.M. (1987): Gauge Fields and Strings (Harwood Academic Publishers, Chur, Switzerland) pp. 1–301Google Scholar
  12. Ooguri, H., Vafa, C. (1996): Two-dimensional black holes and singularities of CY manifolds. Nucl. Phys. B463, 55–72CrossRefADSMathSciNetGoogle Scholar
  13. Sen, A. (1997): Dynamics of multiple KK monopoles in M-and string theory. Adv. Theor. Math. Phys. 1, 115–126; A note on enhanced gauge symmetries in M-and string theory. Electronically published in JHEP 9 001zbMATHMathSciNetGoogle Scholar
  14. Townsend, P.K., (1995): The 11-dimensional supermembrane revisited. Phys. Lett. 350B, 184–188ADSMathSciNetGoogle Scholar
  15. Witten, E., (1996): Bound states of strings and p-branes. Nucl. Phys. B460, 335–350CrossRefADSMathSciNetGoogle Scholar
  16. Witten, E., (1997): Solutions of four-dimensional field theory via M theory. Nucl. Phys. B500, 3–42.CrossRefADSMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • Sergei V. Ketov
    • 1
  1. 1.Institut für Theoretische PhysikUniversität HannoverHannoverGermany

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