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Conformal \({\mathcal N}=0\) \(d=4\) gauge theories from AdS/CFT superstring duality? (English) Zbl 1058.81651
Summary: Non-supersymmetric \(d=4\) gauge theories which arise from superstring duality on a manifold \(\text{AdS}_5\times S_5/\mathbb{Z}_p\) are cataloged for a range \(2\leq p\leq 41\). A number have vanishing two-loop gauge \(\beta\)-function, a necessary but not sufficient condition to be a conformal field theory.

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T13 Yang-Mills and other gauge theories in quantum field theory
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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References:
[1] Maldacena, J., Adv. theor. math. phys., 2, 231, (1998), hep-th/9711200
[2] Gubser, S.S.; Klebanov, I.R.; Polyakov, A.M., Phys. lett. B, 428, 105, (1998), hep-th/9802109
[3] Witten, E., Adv. theor. math. phys., 2, 505, (1998), hep-th/9803131
[4] L. Susskind, E. Witten, hep-th/9805114.
[5] Mandelstam, S., Nucl. phys. B, 213, 149, (1983)
[6] P.H. Frampton, hep-th/9812117.
[7] Kachru, S.; Silverstein, E., Phys. rev. lett., 80, 4855, (1998), hep-th/9802183
[8] Ferrara, S.; Kehagias, A.; Partouche, H.; Zaffaroni, A., Phys. lett. B, 431, 42, (1998), hep-th/9804006
[9] Russo, J.R., Phys. lett. B, 435, 284, (1998), hep-th/9808117
[10] M. Schmaltz, hep-th/9805218.
[11] M. Berkooz, S.-J. Rey, hep-th/9807241.
[12] J. Distler, F. Zamaro, hep-th/9810206.
[13] Harvey, J.A., Phys. rev. D, 59, 026002, (1999), hep-th/9807213
[14] I.R. Klebanov, A.A. Tsyetlin, hep-th/9901101.
[15] Kakushadze, J., Phys. rev. D, 59, 045007, (1999), hep-th/9806091
[16] A.A. Tsyetlin, K. Zarembo, hep-th/9902095.
[17] Bershadsky, M.; Kakushadze, Z.; Vafa, C., Nucl. phys. B, 523, 59, (1998), hep-th/9803076
[18] Bershadsky, M.; Johansen, A., Nucl. phys. B, 536, 141, (1998), hep-th/9803249
[19] Lawrence, A.; Nekrasov, N.; Vafa, C., Nucl. phys. B, 533, 199, (1998), hep-th/9803015
[20] N. Nekrasaov, S.L. Shatashvili, hep-th/9902110.
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