A new orientifold of \(\mathbb C^ 2/\mathbb Z_ N\) and six-dimensional RG fixed points. (English) Zbl 1056.81559
Summary: We discuss the consistency conditions of a novel orientifold projection of type IIB string theory on \(\mathbb C^2/\mathbb Z_N\) singularities, in which one mods out by the combined action of world-sheet parity and a geometric operation which exchanges the two complex planes. The field theory on the world-volume of D5-brane probes defines a family of six-dimensional RG fixed points, which had been previously constructed using type IIA configurations of NS-branes and D6-branes in the presence of O6-planes. Both constructions are related by a T-duality transforming the set of NS-branes into the \(C^2/Z_N\) singularity. We also construct additional models, where both the standard and the novel orientifold projections are imposed. They have an interesting relation with orientifolds of \(D_K\) singularities, and provide the T-duals of certain type IIA configurations containing both O6- and O8-planes.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 32S05 | Local complex singularities |
| 81T17 | Renormalization group methods applied to problems in quantum field theory |
References:
| [1] | Seiberg, N.; Witten, E., Comments on string dynamics in six dimensions, Nucl. Phys. B, Vol. 471, 121 (1996) · Zbl 1003.81535 |
| [2] | Seiberg, N., Nontrivial fixed points of the renormalization group in six dimensions, Phys. Lett. B, Vol. 390, 169 (1997) |
| [3] | Douglas, M. R.; Moore, G., D-branes, quivers, and ALE instantons |
| [4] | Johnson, C. V.; Myers, R. C., Aspects of type IIB theory on ALE spaces, Phys. Rev. D, Vol. 55, 6382 (1997) |
| [5] | Intriligator, K., RG fixed points in six dimensions via branes at orbifold singularities, Nucl. Phys. B, Vol. 496, 177 (1997) · Zbl 0935.81068 |
| [6] | Blum, J. D.; Intriligator, K., Consistency conditions for branes at orbifold singularities, Nucl. Phys. B, Vol. 506, 223 (1997) · Zbl 0925.81263 |
| [7] | Blum, J. D.; Intriligator, K., New phases of string theory and 6-D RG fixed points via branes at orbifold singularities, Nucl. Phys. B, Vol. 506, 199 (1997) · Zbl 0925.81262 |
| [8] | Sagnotti, A., (Mack, G.; etal., Cargese’ 87, Non-perturbative Quantum Field Theory (1988), Pergamon Press), 521 |
| [9] | Dai, J.; Leigh, R. G.; Polchinski, J., New connections between string theories, Mod. Phys. Lett., Vol. 4, 2073 (1989) |
| [10] | Leigh, R. G., Dirac-Born-Infeld action from Dirichlet sigma model, Mod. Phys. Lett., Vol. 4, 2767 (1989) |
| [11] | Horava, P., Strings on world-sheet orbifolds, Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B, Two-dimensional stringy black holes with one asymptotically flat domain. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B, Two-dimensional stringy black holes with one asymptotically flat domain, Phys. Lett. B. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B, Two-dimensional stringy black holes with one asymptotically flat domain. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B, Two-dimensional stringy black holes with one asymptotically flat domain, Phys. Lett. B, Equivariant topological sigma models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B, Two-dimensional stringy black holes with one asymptotically flat domain. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B, Two-dimensional stringy black holes with one asymptotically flat domain, Phys. Lett. B. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B, Two-dimensional stringy black holes with one asymptotically flat domain. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models. Nucl. Phys. B. Nucl. Phys. B, Background duality of open string models, Phys. Lett. B, Two-dimensional stringy black holes with one asymptotically flat domain, Phys. Lett. B, Equivariant topological sigma models, Nucl. Phys. B, Vol. 418, 571 (1994) |
| [12] | Pradisi, G.; Sagnotti, A., Open strings orbifolds, Phys. Lett. B, Vol. 216, 59 (1989) |
| [13] | Bianchi, M.; Sagnotti, A., On the systematics of open string theories, Phys. Lett. B. Phys. Lett. B, Twist symmetry and open string Wilson lines. Phys. Lett. B. Phys. Lett. B, Twist symmetry and open string Wilson lines, Nucl. Phys. B, Vol. 361, 519 (1991) |
| [14] | Gimon, E.; Polchinski, J., Consistency conditions for orientifolds and D manifolds, Phys. Rev. D, Vol. 54, 1667 (1996) |
| [15] | Gimon, E. G.; Johnson, C. V., K3 orientifolds, Nucl. Phys. B, Vol. 477, 715 (1996) · Zbl 0925.81195 |
| [16] | Dabholkar, A.; Park, J., Strings on orientifolds, Nucl. Phys. B, Vol. 477, 701 (1996) · Zbl 0925.81194 |
| [17] | Hanany, A.; Witten, E., Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics, Nucl. Phys. B, Vol. 492, 152 (1997) · Zbl 0996.58509 |
| [18] | Brunner, I.; Karch, A., Branes and six-dimensional fixed points, Phys. Lett. B, Vol. 409, 109 (1997) |
| [19] | Brunner, I.; Karch, A., Branes at orbifolds versus Hanany-Witten in six dimensions, JHEP, Vol. 9803, 003 (1998) · Zbl 0958.81169 |
| [20] | Hanany, A.; Zaffaroni, A., Branes and six-dimensional supersymmetric theories, Nucl. Phys. B, Vol. 529, 180 (1998) · Zbl 0961.81077 |
| [21] | Aspinwall, P. S., Pointlike instantons and the spin(32) / Z(2) heterotic string, Nucl. Phys. B, Vol. 496, 149 (1997) · Zbl 0935.81054 |
| [22] | Aspinwall, P. S.; Morrison, D. R., Pointlike instantons on K3 orbifolds, Nucl. Phys. B, Vol. 503, 533 (1997) · Zbl 0934.81048 |
| [23] | Karch, A.; Lust, D.; Smith, D., Equivalence of geometric engineering and Hanany-Witten via fractional branes, Nucl. Phys. B, Vol. 533, 348 (1998) · Zbl 1078.81551 |
| [24] | Karch, A., Field theory dynamics from branes in string theory, PhD thesis |
| [25] | Park, J.; Uranga, A. M., A note on superconformal \(N=2\) theories and orientifolds, Nucl. Phys. B, Vol. 542, 139 (1999) · Zbl 0942.81064 |
| [26] | Landsteiner, K.; López, E.; Lowe, D. A., \(N=2\) supersymmetric gauge theories, branes and orientifolds, Nucl. Phys. B, Vol. 507, 197 (1997) · Zbl 0925.81097 |
| [27] | Evans, N.; Johnson, C. V.; Shapere, A. D., Orientifolds, branes, and duality of 4-D gauge theories, Nucl. Phys. B, Vol. 505, 251 (1997) · Zbl 0925.81387 |
| [28] | Elitzur, S.; Giveon, A.; Kutasov, D.; Tsabar, D., Branes, orientifolds and chiral gauge theories, Nucl. Phys. B, Vol. 524, 251 (1998) · Zbl 1031.81644 |
| [29] | Erler, J., Anomaly cancellation in six dimensions, J. Math. Phys., Vol. 35, 1819 (1994) · Zbl 0803.58060 |
| [30] | Sagnotti, A., A note on the Green-Schwarz mechanism in open string theories, Phys. Lett. B, Vol. 294, 196 (1992) |
| [31] | Ooguri, H.; Vafa, C., Two-dimensional black hole and singularities of CY manifolds, Nucl. Phys. B, Vol. 463, 55 (1996) · Zbl 1003.83511 |
| [32] | Blumenhagen, R.; Görlich, L., Orientifolds of non-supersymmetric asymmetric orbifolds, Nucl. Phys. B, Vol. 551, 601 (1999) · Zbl 0947.81082 |
| [33] | Blumenhagen, R.; Görlich, L.; Körs, B., Supersymmetric orinetifolds in 6D with D-branes at angles · Zbl 0951.81086 |
| [34] | Polchinski, J., Tensors from K3 orientifolds, Phys. Rev. D, Vol. 55, 6423 (1997) |
| [35] | Berkooz, M.; Leigh, R. G.; Polchinski, J.; Schwarz, J. H.; Seiberg, N.; Witten, E., Anomalies, dualities, and topology of \(D=6 N=1\) superstring vacua, Nucl. Phys. B, Vol. 475, 115 (1996) · Zbl 0925.81335 |
| [36] | Douglas, M. R., Enhanced gauge symmetry in M(atrix) theory, JHEP, Vol. 07, 4 (1997) · Zbl 0949.81506 |
| [37] | Park, J.; Rabadan, R.; Uranga, A. M., \(N=1\) type IIA brane configurations, chirality and T-duality · Zbl 0951.81058 |
| [38] | Hanany, A.; Zaffaroni, A., Issues on orientifolds: on the brane construction of gauge theories with \(SO (2n)\) global symmetry, JHEP, Vol. 9907, 009 (1999) |
| [39] | Kapustin, A., D(n) quivers from branes, JHEP, Vol. 9812, 015 (1998) · Zbl 0949.81038 |
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