Summary
The role played by composite vector supermultiplets is studied in detail in the context of general supersymmetric confining theories. The structure of the low-energy effective action involving these vector supermultiplets is determined by use of the chiral WT identities. One of the most interesting outcome is the universal appearance of an effective gauge symmetry structure. Another is the emergence of a generationlike structure among the composite « matter » multiplets under this effective gauge symmetry.
Riassunto
Si studia in dettaglio il ruolo che i supermultipletti vettoriali composti hanno nell’ambito delle teorie supersimmetriche confinanti. Usando le identità chirali di WT, si determina la struttura della lagrangiana effettiva a bassa energia, che contiene questi supermultipletti vettoriali. Il fatto che generalmente appare una struttura di simmetria di gauge effettiva è uno dei risultati piú interessanti. Un altro è che tra i campi composti di materia, che sono multipletti della simmetria di gauge effettiva, emerge una struttura tipo generazioni.
Реэюме
В рамках обших суперсимметричных удерживаюших теорий подробно исследуется роль составных векторных супермультиплетов. Испольэуя киральные WТ-тождества, определяется структура ниэкознергетическо го действия, которое включает зти векторные супермультиплеты. Один иэ наиболее интересных реэультатов — зто универсальное появление зффективной калибровочно-симмет ричной структуры. Другой реэультат — зто воэникновение структуры типа раэмножения между составными мультиплетами « вешества », при условии зффективной калибровочной симметрии.
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Literatur
V. A. Novikov, M. A. Shifman, A. I. Vainshtein, M. B. Voloshin andV. I. Zakharov:Nucl. Phys. B,229, 394 (1983);V. A. Novikov, M. A. Shifman, A. I. Vainshtein andV. I. Zakharov:Nucl. Phys. B,229, 381, 407 (1983);E. Cohen andC. Gomez:Phys. Rev. Lett.,52, 237 (1984).
G. C. Rossi andG. Veneziano:Phys. Lett. B,138, 195 (1984);D. Amati, G. C. Rossi andG. Veneziano:Nucl. Phys. B,249, 1 (1985).
I. Affleck, M. Dine andN. Seiberg:Phys. Rev. Lett.,51, 1026 (1983); IAS preprint (November 1983).
Y. Meurice andG. Veneziano:Phys. Lett. B,141 69 (1984);I. Affleck, M. Dine andN. Seiberg:Phys. Rev. Lett.,52, 1677 (1984).
K. Konishi:Phys. Lett. B,135, 439 (1984); see alsoT. E. Clark, O. Piguet andK. Sibold:Nucl. Phys. B,159, 1 (1979);S. J. Gates jr.,N. T. Grisaru, M. Rocek andW. Siegel:Superspace (Benjamin/Cummings Publ. Co., New York, N. Y., 1983), Chapt. 6.
G. Veneziano andS. Yankielowicz:Phys. Lett. B,113, 321 (1982).
T. R. Taylor, G. Veneziano andS. Yankielowicz:Nucl. Phys. B,218, 493 (1983).
M. E. Peskin: SLAC-PUB 3061 (1983);A. C. Davis, M. Dine andN. Seiberg:Phys. Lett. B,125, 487 (1983);H. P. Nilles:Phys. Lett. B,129, 103 (1983);J. M. Gerard andH. P. Nilles:Phys. Lett. B,129, 243 (1983); see alsoW. Buchmuller, R. Peccei andH. Yanagida:Nucl. Phys. B,227, 503 (1983).
E. Witten:Nucl. Phys. B,202, 253 (1982);S. Cecotti andL. Girardello:Phys. Lett. B,110, 39 (1982);E. Cohen andG. Gomez:Nucl. Phys. B,223, 183 (1983).
T. D. Lee andB. Zumino:Phys. Rev.,163, 1667 (1967), and references therein; see also,J. Wess andB. Zumino:Phys. Rev.,163, 1727 (1967). Application of the field-current identity in the context of (nonsupersymmetric) composite models of W± and Z has been considered recently byN. S. Craigie andJ. Stern: ICTP preprint IC/84/36 (1984), andB. Schrempp andF. Schrempp: DESY preprint, DESY-84-055 (1984).
P. Fayet:Nuovo Cimento A,34, 626 (1976); see alsoG. Mainland andK. Tanaka:Phys. Rev. D,12, 2394 (1975).
For recent reviews on supersymmetric composite models, see,e.g.,W. Buchmuller: CERN preprint, TH 3873 (1984);R. D. Peccei; MPI preprint MPI-PAE/PTh 35/84;G. Veneziano:Proceedings of the I Capri Symposium (1983).
J. Wess andB. Zumino:Phys. Lett. B,37, 95 (1971).
J. Wess andJ. Bagger:Supersymmetry and Supergravity (Princeton University Press, Princeton, N. J., 1983).
W. Buchmuller, R. D. Peccei andT. Yanagida:Nucl. Phys. B,231, 53 (1984).
M. T. Grisaru, W. Siegel andM. Rocek:Nucl. Phys. B,159, 429 (1979), and references therein.
K. Fujikawa:Phys. Rev. Lett.,42, 1195 (1979);Phys. Rev. D,21, 2848 (1980).
K. Konishi andK. Shizuya:Nuovo Cimento A,90, 111 (1985);K. Konishi:Proceedings of the XIX Rencontre de Moriond (1984).
G. Veneziano:Phys. Lett. B,128, 199 (1983);G. Shore:Nucl. Phys. B,231, 139 (1984).
S. Weinberg andE. Witten:Phys. Lett. B,96, 59 (1980).
M. G. Schmidt:Phys. Lett. B,141, 236 (1984).
See, however,S. Narison:Phys. Lett. B,142, 168 (1984).
S. Ferrara andB. Zumino:Nucl. Phys. B,87, 207 (1975);W. Lang:Nucl. Phys. B,150, 201 (1979);O. Piguet andK. Sibold:Nucl. Phys. B,197, 257, 272 (1982). An explicit calculation of this anomaly in the puren = 2 supersymmetric Yang-Mills theory has been done inP. Di Vecchia, R. Musto, R. Nicodemi andR. Pettorino: CERN preprint, CERN-TH-3905 (1984).
G. Veneziano: private communication.
V. A. Novikov, M. A. Shifman, A. I. Vainshtein andV. I. Zakharov: ITEP preprint, ITEP-85 (1984).
A. Masiero andG. Veneziano: CERN preprint, TH-3950 (1984).
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Guadagnini, E., Konishi, K. Effective gauge symmetry in supersymmetric confining theories. Nuov Cim A 90, 400–434 (1985). https://doi.org/10.1007/BF02734919
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DOI: https://doi.org/10.1007/BF02734919