Mirror symmetry in 2 + 1 and 1 + 1 dimensions

Journal of High Energy Physics

Volumn 5, Issue 7, 2001, Pages 1-29

  Aganagic, Mina ^a   Hori, Kentaro ^a   Karch, Andreas ^b   Tong, David ^c  

^a HARVARD UNIVERSITY   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^c Columbia University New York ^*  (United States)

Author keywords

Duality in Gauge Field Theories; Field Theories in Lower Dimensions

Indexed keywords

EID: 23044453084     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/07/022     Document Type: Article

References (31)

1. K. Hori and C. Vafa, Mirror symmetry, hep-th/0002222.
2. K. Intriligator and N. Seiberg, Mirror symmetry in three dimensional gauge theories, Phys. Lett. B 387 (1996) 513 [hep-th/9607207].
3. M. Porrati and A. Zaffaroni, M-theory origin of mirror symmetry in three dimensional gauge theories, Nucl. Phys. B 490 (1997) 107 [hep-th/9611201];
4. A. Hanany and E. Witten, Type IIB superstrings, BPS monopoles and three-dimensional gauge dynamics, Nucl. Phys. B 492 (1997) 152 [hep-th/9611230];
5. K. Hori, H. Ooguri and C. Vafa, Non-abelian conifold transitions and N = 4 dualities in three dimensions, Nucl. Phys. B 504 (1997) 147 [hep-th/9705220].
6. O. Aharony, A. Hanany, K. Intriligator, N. Seiberg and M.J. Strassler, Aspects of N = 2 supersymmetric gauge theories in three dimensions, Nucl. Phys. B 499 (1997) 67 [hep-th/9703110].
7. D. Tong, Dynamics of N = 2 supersymmetric Chern-Simons theories, J. High Energy Phys. 07 (2000) 019 [hep-th/0005186].
8. N. Dorey and D. Tong, Mirror symmetry and toric geometry in three dimensional gauge theories, J. High Energy Phys. 05 (2000) 018 [hep-th/9911094].
9. A. Kapustin and M.J. Strassler, On mirror symmetry in three dimensional abelian gauge theories, J. High Energy Phys. 04 (1999) 021 [hep-th/9902033].
10. K. Hori and A. Kapustin, Duality of the fermionic 2d black hole and N = 2 Liouville theory as mirror symmetry, hep-th/0104202.
11. D.-E. Diaconescu and N. Seiberg, The coulomb branch of (4,4) supersymmetric field theories in two dimensions, J. High Energy Phys. 07 (1997) 001 [hep-th/9707158].
12. N. Seiberg and S. Sethi, Comments on Neveu-Schwarz five-branes, Adv. Theor. Math. Phys. 1 (1998) 259 [hep-th/9708085].
13. M. Aganagic and A. Karch, Calabi-Yau mirror symmetry as a gauge theory duality, Class. and Quant. Grav. 17 (2000) 919 [hep-th/9910184].
14. J. de Boer, K. Hori, H. Ooguri, Y. Oz and Z. Yin, Mirror symmetry in three-dimensional gauge theories, SL(2, Z) and D-brane moduli spaces, Nucl. Phys. B 493 (1997) 148 [hep-th/9612131].
15. L. Alvarez-Gaume, S. Coleman and P. Ginsparg, Finiteness of Ricci flat N = 2 supersymmetric sigma models, Comm. Math. Phys. 103 (1986) 423.
16. K. Hori, S. Katz, A. Klemm, R. Pandharipande, R. Thomas, C. Vafa, R. Vakil and E. Zaslow, CMI lectures on Mirror Symmetry.
17. J. de Boer, K. Hori, H. Ooguri and Y. Oz, Mirror symmetry in three-dimensional gauge theories, quivers and D-branes, Nucl. Phys. B 493 (1997) 101 [hep-th/9611063].
18. V.A. Fateev, E. Onofri and A.B. Zamolodchikov, The sausage model (integrable deformations of O(3) sigma model), Nucl. Phys. B 406 (1993) 521.
19. E. Witten, Phases of N = 2 theories in two dimensions, Nucl. Phys. B 403 (1993) 159 [hep-th/9301042].
20. D.R. Morrison and M.R. Plesser, Summing the instantons: quantum cohomology and mirror symmetry in toric varieties, Nucl. Phys. B 440 (1995) 279 [hep-th/9412236].
21. N. Seiberg and S. Shenker, Hypermultiplet moduli space and string compactification to three dimensions, Phys. Lett. B 388 (1996) 521 [hep-th/9608086].
22. N. Nekrasov, Five dimensional gauge theories and relativistic integrable systems, Nucl. Phys. B 531 (1998) 323 [hep-th/9609219].
23. E. Witten, The verlinde algebra and the cohomology of the grassmannian, hep-th/9312104.
24. T. Eguchi, K. Hori and C.-S. Xiong, Gravitational quantum cohomology, Int. J. Mod. Phys. A 12 (1997) 1743 [hep-th/9605225].
25. B.R. Greene, String theory on Calabi-Yau manifolds, hep-th/9702155.
26. D. Morrison, Geometric aspects of mirror symmetry, math.AG/0007090.
27. H.-C. Kao and K. Lee, Selfdual Chern-Simons systems with an N = 3 extended supersymmetry, Phys. Rev. D 46 (1992) 4691 [hep-th/9205115].
28. S. Coleman and B. Hill, No more corrections to the topological mass term in qed in three-dimensions, Phys. Lett. B 159 (1985) 184.
29. N. Seiberg, IR dynamics on branes and space-time geometry, Phys. Lett. B 384 (1996) 81 [hep-th/9606017].
30. N. J. Hitchin, A. Karlhede, U. Lindstrom and M. Rocek, Hyperkahler metrics and supersymmetry, Comm. Math. Phys. 108 (1987) 535.
31. J. de Boer, K. Hori and Y. Oz, Dynamics of N = 2 supersymmetric gauge theories in three dimensions, Nucl. Phys. B 500 (1997) 163 [hep-th/9703100].