Quantum moduli spaces from matrix models. (English) Zbl 1006.81049
Summary: In this Letter we show that the matrix model techniques developed by Dijkgraaf and Vafa can be extended to compute quantum deformed moduli spaces of vacua in four-dimensional supersymmetric gauge theories. The examples studied give the moduli space of a bulk D-brane probe in geometrically engineered theories, in the presence of fractional branes at singularities.
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 58D30 | Applications of manifolds of mappings to the sciences |
References:
| [1] | Affleck, I.; Dine, M.; Seiberg, N., Nucl. Phys. B, 241, 493 (1984) |
| [2] | Aharony, O.; Dorey, N.; Kumar, S. P., JHEP, 0006, 026 (2000) |
| [3] | Berenstein, D., JHEP, 0111, 060 (2001) |
| [4] | Berenstein, D., JHEP, 0204, 052 (2002) |
| [5] | Berenstein, D.; Douglas, M. R. |
| [6] | Berenstein, D.; Jejjala, V.; Leigh, R. G., Nucl. Phys. B, 589, 196 (2000) · Zbl 1060.81606 |
| [7] | Berenstein, D.; Leigh, R. G., JHEP, 0001, 038 (2000) · Zbl 0990.81582 |
| [8] | Berenstein, D.; Leigh, R. G., JHEP, 0106, 030 (2001) |
| [9] | Bershadsky, M.; Cecotti, S.; Ooguri, H.; Vafa, C., Commun. Math. Phys., 165, 311 (1994) · Zbl 0815.53082 |
| [10] | Cachazo, F.; Vafa, C. |
| [11] | Cachazo, F.; Fiol, B.; Intriligator, K. A.; Katz, S.; Vafa, C., Nucl. Phys. B, 628, 3 (2002) · Zbl 0992.83072 |
| [12] | Cachazo, F.; Katz, S.; Vafa, C. |
| [13] | Cachazo, F.; Intriligator, K. A.; Vafa, C., Nucl. Phys. B, 603, 3 (2001) · Zbl 0983.81050 |
| [14] | Chekhov, L.; Mironov, A. |
| [15] | Dasgupta, K.; Oh, K.; Tatar, R., Nucl. Phys. B, 610, 331 (2001) · Zbl 0971.81118 |
| [16] | Dasgupta, K.; Oh, K.; Tatar, R., JHEP, 0208, 026 (2002) |
| [17] | Dasgupta, K.; Oh, K. H.; Park, J.; Tatar, R., JHEP, 0201, 031 (2002) |
| [18] | Di Francesco, P.; Ginsparg, P.; Zinn-Justin, J., Phys. Rep., 254, 1 (1995) |
| [19] | Dijkgraaf, R.; Vafa, C. |
| [20] | Dijkgraaf, R.; Vafa, C. |
| [21] | Dijkgraaf, R.; Vafa, C. |
| [22] | Dorey, N.; Hollowood, T. J.; Prem Kumar, S., Nucl. Phys. B, 624, 95 (2002) · Zbl 0985.81120 |
| [23] | Dorey, N.; Hollowood, T. J.; Prem Kumar, S.; Sinkovics, A. |
| [24] | Dorey, N.; Hollowood, T. J.; Kumar, S. P.; Sinkovics, A. |
| [25] | Douglas, M. R., J. Math. Phys., 42, 2818 (2001) · Zbl 1036.81027 |
| [26] | Douglas, M. R. |
| [27] | Douglas, M. R.; Fiol, B. |
| [28] | Feng, B.; Hanany, A.; He, Y. H., JHEP, 0108, 040 (2001) |
| [29] | Ferrari, F. |
| [30] | Fuji, H.; Ookouchi, Y. |
| [31] | Ginsparg, P.; Moore, G. W. |
| [32] | Gopakumar, R.; Vafa, C. |
| [33] | Gukov, S.; Tong, D., Phys. Rev. D, 66, 087901 (2002) |
| [34] | Gukov, S.; Tong, D., JHEP, 0204, 050 (2002) |
| [35] | Kazakov, V. A.; Kostov, I. K.; Nekrasov, N. A., Nucl. Phys. B, 557, 413 (1999) · Zbl 1068.81606 |
| [36] | Klebanov, I. R.; Strassler, M. J., JHEP, 0008, 052 (2000) |
| [37] | Klebanov, I. R.; Witten, E., Nucl. Phys. B, 536, 199 (1998) |
| [38] | Kostov, I. K., Nucl. Phys. B, 575, 513 (2000) · Zbl 1037.82509 |
| [39] | Oh, K. H.; Tatar, R. |
| [40] | Seiberg, N., Phys. Lett. B, 318, 469 (1993) |
| [41] | Seiberg, N., Phys. Rev. D, 49, 6857 (1994) |
| [42] | Seiberg, N. |
| [43] | Seiberg, N., Nucl. Phys. B, 435, 129 (1995) · Zbl 1020.81912 |
| [44] | Seiberg, N.; Witten, E., Nucl. Phys. B, 430, 485 (1994), Erratum · Zbl 0996.81511 |
| [45] | Witten, E., Prog. Math., 133, 637 (1995) |
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