Mirror symmetry in three-dimensional gauge theories, quivers and D-branes

Nuclear Physics B

Volumn 493, Issue 1-2, 1997, Pages 101-147

  De Boer, Jan ^a,b   Hori, Kentaro ^a,b   Ooguri, Hirosi ^a,b   Oz, Yaron ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031587005     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00125-9     Document Type: Article

References (40)

1. [1] N. Seiberg, IR Dynamics on Branes and Space-Time Geometry, hep-th 9606017.
2. [2] N. Seiberg and E. Witten, Gauge Dynamics and Compactification to Three Dimensions, hep-th 9607163.
3. [3] K. Intriligator and N. Seiberg, Mirror Symmetry in Three Dimensional Gauge Theories, hep-th 9607207.
4. [4] G. Chalmers and A. Hanany, Three Dimensional Gauge Theories and Monopoles, hep-th 9608105.
5. [5] P.B. Kronheimer, The Construction of ALE spaces as HyperKähler Quotients, J. Diff. Geom. 29 (1989) 665.
6. [6] P. B. Kronheimer and H. Nakajima, Yang-Mills Instantons on ALE Gravitational Instantons, Math. Ann. 288 (1990) 263.
7. [7] H. Nakajima, Instantons on ALE Spaces, Quiver Varieties, and Kac-Moody Algebras, Duke Math. 76 (1994) 365.
8. [8] J.H. Harvey and G. Moore, On the Algebra of BPS States, hep-th 9609017.
9. [9] K. Furuuchi, H. Kunimoto and T. Nakatsu, Topological Field Theory and Second-Quantized Five-Branes, hep-th 9610016.
10. [10] S. Donaldson, Instantons and Geometric Invariant Theory, Comm. Math. Phys. 93 (1984) 453
11. [11] N. Christ, N. Stanton and E. Weinberg, General Self-Dual Yang-Mills Solutions, Phys. Rev. D 18 (1978) 2013.
12. [12] N. Seiberg and E. Witten, Monopoles, Duality and Chiral Symmetry Breaking in N = 2 Supersymmetric QCD, Nucl. Phys. B 431 (1994) 484.
13. [13] G.W. Gibbons and P. Rychenkova, HyperKähler Quotient Construction of BPS Monopole Moduli Spaces. hep-th 9608085.
14. [14] N.J. Hitchin, A. Karlhede, U. Lindström and M. Roček, HyperKähler Metrics and Supersymmetry, Comm. Math. Phys. 108 (1987) 535.
15. [15] U. Lindström and M. Roček, New HyperKähler metric and New Supermultiplets, Comm. Math. Phys. 115 (1988) 21.
16. [16] H. Pedersen and Y.S. Poon, HyperKähler Metrics and a Generalization of the Bogomolny Equations," Comm. Math. Phys. 117 (1988) 569.
17. [17] G.W. Gibbons and N.S. Manton, The Moduli Space Metric for Well Separated BPS Monoples, Phys. Lett. 356B (1995) 32.
18. [18] J.J. Duistermaat and D.J. Heckman, On the Variation of the Cohomology of the Symplectic Form of the Reduced Phase Space, Invent. Math. 69 (1982) 25.
19. [19] P.C. Argyres, M.R. Plesser and N. Seiberg, The Moduli Space of Vacua of N = 2 SUSY QCD and Duality in N = 1 SUSY QCD, Nucl. Phys. B 471 (1996) 159, hep-th 9603042.
20. [20] H. Nakajima, Lectures given at Univ. Tokyo (April-July, 1996), Lecture notes to appear; Heisenberg Algebra and Hilbert Schemes of Points on Projective Surfaces, alg-geom 9507012. to appear in Ann. of Math.
21. [21] S.K. Donaldson and P.B. Kronheimer, The Geometry of Four-Manifolds, Clarendon Press, Oxford, 1990.
22. [22] N. Seiberg and S.H. Shenker, Hypermultiplet Moduli Space and String Compactification to Three Dimensions, hep-th 9608086.
23. [23] A. Klemm and P. Mayr, Strong Coupling Singularities and Non-Abelian Gauge Symmetries in N = 2 String Theory, hep-th 9601014.
24. [24] S. Katz, D.R. Morrison and M.R. Plesser, Enhanced Gauge Symmetry in Type II String Theory, hep-th 9601108.
25. [25] P. Berglund, S. Katz, A. Klemm and P. Mayr, New Higgs Transitions between Dual N = 2 String Models, hep-th 9605154.
26. [26] S. Katz and C. Vafa, Matter from Geometry, hep-th 9606086.
27. [27] S. Katz, A. Klemm and C. Vafa, Geometric Engineering of Quantum Field Theories, hep-th 9609239.
28. [28] B.R. Greene, D.R. Morrison and A. Strominger, Black Holes and Conifolds in String Theory, Nucl. Phys. B 451 (1995) 109, hep-th 9504145.
29. [29] B.R. Greene, D.R. Morrison and C. Vafa, A Geometric Realization of Confinement, hep-th 9608039.
30. [30] A. S. Dancer, Nahm's Equations and HyperKähler Geometry, Comm. Math. Phys. 158 (1993) 545.
31. [31] M.R. Douglas, Branes within Branes, hep-th 9512077.
32. [32] U.H. Danielsson, G. Ferretti and B. Sundborg, D-Particle Dynamics and Bound States, hep-th 9603081.
33. [33] D. Kabat and P. Pouliot, A Comment on Zero-brane Quantum Mechanics, hep-th 9603127.
34. [34] M.R. Douglas and G. Moore, D-branes, Quivers, and ALE Instantons, hep-th 9603167.
35. [35] M.R. Douglas, Gauge Fields and D-branes, hep-th 9604198.
36. [36] A. Sen, F-Theory and Orientifolds, hep-th 9605150.
37. [37] T. Banks, M.R. Douglas and N. Seiberg, Probing F-theory with Branes, hep-th 9605199.
38. [38] M.R. Douglas, D. Kabat, P. Pouliot and S.H. Shenker D-branes and Short Distances in String Theory, hep-th 9608024.
39. [39] E. Witten, Small Instantons in String Theory, hep-th 9511030.
40. [40] M. Atiyah and N. Hitchin, The Geometry and Dynamics of Magnetic Monopoles (Princeton Univ. Press, Princeton, 1988).