×

zbMATH — the first resource for mathematics

Renormalization of supersymmetric gauge theories on orbifolds: brane gauge couplings and higher derivative operators. (English) Zbl 1247.81303
Summary: We consider supersymmetric gauge theories coupled to hypermultiplets on five- and six-dimensional orbifolds and determine the bulk and local fixed point renormalizations of the gauge couplings. We infer from a component analysis that the hypermultiplet does not induce renormalization of the brane gauge couplings on the five-dimensional orbifold \(S^{1}/Z_{2}\). This is not due to supersymmetry, since the bosonic and fermionic contributions cancel separately. We extend this investigation to \(T^{2}/ZN\) orbifolds using supergraph techniques in six dimensions. On general \(ZN\) orbifolds the gauge couplings do renormalize at the fixed points, except for the \(Z_{2}\) fixed points of even ordered orbifolds. To cancel the bulk one-loop divergences a dimension six higher derivative operator is needed, in addition to the standard bulk gauge kinetic term.

MSC:
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics
PDF BibTeX XML Cite
Full Text: DOI arXiv
References:
[1] Arkani-Hamed, N.; Dimopoulos, S.; Dvali, G.R., Phys. lett. B, 429, 263, (1998)
[2] Antoniadis, I.; Arkani-Hamed, N.; Dimopoulos, S.; Dvali, G.R., Phys. lett. B, 436, 257, (1998)
[3] Mirabelli, E.A.; Peskin, M.E., Phys. rev. D, 58, 065002, (1998)
[4] Barbieri, R.; Hall, L.J.; Nomura, Y., Phys. rev. D, 63, 105007, (2001)
[5] Delgado, A.; Pomarol, A.; Quiros, M., Phys. rev. D, 60, 095008, (1999)
[6] Dienes, K.R.; Dudas, E.; Gherghetta, T., Phys. lett. B, 436, 55, (1998)
[7] Dienes, K.R.; Dudas, E.; Gherghetta, T., Nucl. phys. B, 537, 47, (1999)
[8] Hebecker, A.; Westphal, A., Ann. phys., 305, 119, (2003)
[9] Georgi, H.; Grant, A.K.; Hailu, G., Phys. lett. B, 506, 207, (2001)
[10] von Gersdorff, G.; Quiros, M., Phys. rev. D, 68, 105002, (2003)
[11] Groot Nibbelink, S., Jhep, 0307, 011, (2003)
[12] Arkani-Hamed, N.; Gregoire, T.; Wacker, J., Jhep, 0203, 055, (2002)
[13] Hebecker, A., Nucl. phys. B, 632, 101, (2002)
[14] Marti, D.; Pomarol, A., Phys. rev. D, 64, 105025, (2001)
[15] Ghilencea, D.M.
[16] Smilga, A.V., Nucl. phys. B, 706, 598, (2005)
[17] Seiberg, N., Phys. lett. B, 390, 169, (1997)
[18] Danielsson, U.H.; Ferretti, G.; Kalkkinen, J.; Stjernberg, P., Phys. lett. B, 405, 265, (1997)
[19] S. Groot Nibbelink, M. Hillenbach, in preparation
[20] Shifman, M.A.; Vainshtein, A.I., Nucl. phys. B, 277, 456, (1986)
[21] Shifman, M.A.; Vainshtein, A.I., Nucl. phys. B, 359, 571, (1991)
[22] Seiberg, N., Phys. lett. B, 318, 469, (1993)
[23] Seiberg, N.
[24] Weinberg, S., The quantum theory of fields, vol. 3: supersymmetry, (2000), Cambridge Univ. Press Cambridge · Zbl 0949.81001
[25] Witten, E., Nucl. phys. B, 471, 195, (1996)
[26] Seiberg, N., Phys. lett. B, 388, 753, (1996)
[27] Morrison, D.R.; Seiberg, N., Nucl. phys. B, 483, 229, (1997)
[28] Intriligator, K.A.; Morrison, D.R.; Seiberg, N., Nucl. phys. B, 497, 56, (1997)
[29] Marcus, N.; Sagnotti, A.; Siegel, W., Nucl. phys. B, 224, 159, (1983)
[30] Dudas, E.; Gherghetta, T.; Groot Nibbelink, S., Phys. rev. D, 70, 086012, (2004)
[31] Wess, J.; Bagger, J., Supersymmetry and supergravity, (1992), Princeton Univ. Press Princeton
[32] West, P.C., Introduction to supersymmetry and supergravity, (1990), World Scientific Singapore · Zbl 0727.53077
[33] Gates, S.J.; Grisaru, M.T.; Rocek, M.; Siegel, W., Superspace, or one thousand and one lessons in supersymmetry, Frontiers in physics, vol. 58, (1983), Addison-Wesley Reading, MA · Zbl 0986.58001
[34] Sierra, G.; Townsend, P.K., Phys. lett. B, 124, 497, (1983)
[35] Howe, P.S.; Sierra, G.; Townsend, P.K., Nucl. phys. B, 221, 331, (1983)
[36] Kaplunovsky, V.S., Nucl. phys. B, 307, 145, (1988)
[37] Dixon, L.J.; Kaplunovsky, V.; Louis, J., Nucl. phys. B, 355, 649, (1991)
[38] Ghilencea, D.M.; Groot Nibbelink, S., Nucl. phys. B, 641, 35, (2002)
[39] Cheng, H.-C.; Matchev, K.T.; Schmaltz, M., Phys. rev. D, 66, 036005, (2002)
[40] Carena, M.; Tait, T.M.P.; Wagner, C.E.M., Acta phys. Pol. B, 33, 2355, (2002)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.