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Central charges in non(anti)commutative \(\mathcal N=2\) supersymmetric \(U(N)\) gauge theory. (English) Zbl 1247.81534
Summary: We study the central charge of the deformed \(N=(1,0)\) supersymmetry algebra in non(anti)commutative \(N=2\) supersymmetric \(U(N)\) gauge theory. In the cases of \(N=1/2\) superspace and \(N=2\) harmonic superspace with the singlet deformation, we find that the central charge is deformed by the non(anti)commutative parameters but depends on the electric and magnetic charges. For generic deformation of \(N=2\) harmonic superspace, we compute the \(O(C)\) correction to the central charges in the case of \(U(1)\) gauge group.
MSC:
81T75 Noncommutative geometry methods in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics
81T13 Yang-Mills and other gauge theories in quantum field theory
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References:
[1] Schwarz, J.H.; van Nieuwenhuizen, P., Lett. nuovo cimento, 34, 21, (1982)
[2] Seiberg, N., Jhep, 0306, 010, (2003)
[3] Ooguri, H.; Vafa, C.; Ooguri, H.; Vafa, C., Adv. theor. math. phys., Adv. theor. math. phys., 7, 405, (2004)
[4] Berkovits, N.; Seiberg, N., Jhep, 0307, 010, (2003)
[5] de Boer, J.; Grassi, P.A.; van Nieuwenhuizen, P., Phys. lett. B, 574, 98, (2003)
[6] Araki, T.; Ito, K.; Ohtsuka, A., Phys. lett. B, 573, 209, (2003)
[7] Britto, R.; Feng, B.; Rey, S.J.; Britto, R.; Feng, B.; Rey, S.J.; Terashima, S.; Yee, J.T.; Hatsuda, M.; Iso, S.; Umetsu, H.; Grisaru, M.T.; Penati, S.; Romagnoni, A.; Britto, R.; Feng, B.; Romagnoni, A.; Lunin, O.; Rey, S.J.; Berenstein, D.; Rey, S.J.; Alishahiha, M.; Ghodsi, A.; Sadooghi, N.; Imaanpur, A.; Parvizi, S.; Banin, A.T.; Buchbinder, I.L.; Pletnev, N.G.; Ivanov, E.A.; Zupnik, B.M.; Ivanov, E.; Lechtenfeld, O.; Zupnik, B.; Sako, A.; Suzuki, T.; Jack, I.; Jones, D.R.T.; Worthy, L.A.; Jack, I.; Jones, D.R.T.; Worthy, L.A.; Penati, S.; Romagnoni, A.; Hatanaka, T.; Ketov, S.V.; Kobayashi, Y.; Sasaki, S.; Hatanaka, T.; Ketov, S.V.; Kobayashi, Y.; Sasaki, S.; Abbaspur, R.; Imaanpur, A.; Grisaru, M.T.; Penati, S.; Romagnoni, A.; Buchbinder, I.L.; Ivanov, E.A.; Lechtenfeld, O.; Samsonov, I.B.; Zupnik, B.M., Jhep, Jhep, Jhep, Nucl. phys. B, Jhep, Phys. rev. lett., Jhep, Jhep, Phys. rev. D, Nucl. phys. B, Jhep, Jhep, Theor. math. phys., Nucl. phys. B, Jhep, Phys. lett. B, Phys. rev. D, Jhep, Nucl. phys. B, Nucl. phys. B, 726, 481, (2005)
[8] Imaanpur, A.; Imaanpur, A.; Grassi, P.A.; Ricci, R.; Robles-Llana, D.; Britto, R.; Feng, B.; Lunin, O.; Rey, S.J.; Billó, M.; Frau, M.; Pesando, I.; Lerda, A.; Billó, M.; Frau, M.; Pesando, I.; Lerda, A.; Giombi, S.; Ricci, R.; Robles-Llana, D.; Trancanelli, D.; Araki, T.; Takashima, T.; Watamura, S., Jhep, Jhep, Jhep, Phys. rev. D, Jhep, Jhep, 0505, 047, (2005)
[9] Chandrasekhar, B.; Kumar, A.; Inami, T.; Nakajima, H.; Chandrasekhar, B.; Chandrasekhar, B.; Azorkina, O.D.; Banin, A.T.; Buchbinder, I.L.; Pletnev, N.G.; Alvarez-Gaumé, L.; Vazquez-Mozo, M.A.; Ryttov, T.A.; Sannino, F.; Hatanaka, T.; Ketov, S.V.; Sasaki, S.; Araki, K.; Inami, T.; Nakajima, H.; Saito, Y., Jhep, Prog. theor. phys., Phys. rev. D, Phys. lett. B, Mod. phys. lett. A, Jhep, Phys. rev. D, Phys. lett. B, 619, 352, (2005)
[10] Klemm, D.; Penati, S.; Tamassia, L.; Ferrara, S.; Lledo, M.A.; Ferrara, S.; Lledo, M.A.; Macia, O., Class. quantum grav., Jhep, Jhep, 0309, 068, (2003)
[11] Ferrara, S.; Sokatchev, E.; Ketov, S.V.; Sasaki, S.; Ketov, S.V.; Sasaki, S.; Ketov, S.V.; Sasaki, S., Phys. lett. B, Phys. lett. B, Phys. lett. B, Int. J. mod. phys. A, 20, 4021, (2005)
[12] Ivanov, E.; Lechtenfeld, O.; Zupnik, B., Jhep, 0402, 012, (2004)
[13] Araki, T.; Ito, K.; Ohtsuka, A., Jhep, 0401, 046, (2004)
[14] Araki, T.; Ito, K.; Ohtsuka, A., Jhep, 0505, 074, (2005)
[15] Ito, K.; Nakajima, H., Phys. lett. B, 629, 93, (2005)
[16] Haag, R.; Łopuszański, J.T.; Sohnius, M., Nucl. phys. B, 88, 257, (1975)
[17] Gorsky, A.; Shifman, M.; Aldrovandi, L.G.; Correa, D.H.; Scaposnik, F.A.; Silva, G.A., Phys. rev. D, Phys. rev. D, 71, 025015, (2005)
[18] Chu, C.S.; Inami, T., Nucl. phys. B, 725, 327, (2005)
[19] Witten, E.; Olive, D.I., Phys. lett. B, 78, 97, (1978)
[20] Alvarez-Gaumé, L.; Hassan, S.F., Fortschr. phys., 45, 159, (1997)
[21] Seiberg, N.; Witten, E.; Seiberg, N.; Witten, E., Nucl. phys. B, Nucl. phys. B, 431, 484, (1994)
[22] Ferrara, S.; Ivanov, E.; Lechtenfeld, O.; Sokatchev, E.; Zupnik, B., Nucl. phys. B, 704, 154, (2005)
[23] Wess, J.; Bagger, J., Supersymmetry and supergravity, (1992), Princeton Univ. Press Princeton
[24] Galperin, A.; Ivanov, E.; Ogievetsky, V.; Sokatchev, E., Harmonic superspace, (2001), Cambridge Univ. Press Cambridge · Zbl 1029.81003
[25] De Castro, A.; Ivanov, E.; Lechtenfeld, O.; Quevedo, L.
[26] Araki, T.; Ito, K.; Ohtsuka, A., Phys. lett. B, 606, 202, (2005)
[27] Araki, T.; Ito, K., Phys. lett. B, 595, 513, (2004)
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