Induced hypermultiplet self-interactions in N = 2 gauge theories

E. A. Ivanov, S. V. Ketov, B. M. Zupnik

Результат исследований: Материалы для журналаСтатья

36 Цитирования (Scopus)

Выдержка

We calculate the charged hypermultiplet low-energy effective action in the Coulomb branch of the 4D, N = 2 gauge theory, by using the harmonic superspace approach. We find that the unique leading contribution is given by the harmonic-analytic Lagrangian of the fourth order in the hypermultiplet superfields, with the induced coupling constant being proportional to central charges of N - 2 SUSY algebra. The central charges are identified with Cartan generators of the internal symmetry, and they give BPS masses to the hypermultiplets. The induced hyper-Kähler metrics appear to be the Taub-NUT metric or its higher-dimensional generalizations. Simultaneously, non-trivial scalar potentials are produced. Within the harmonic superspace method, we show an equivalence between the two known approaches to the 4D central charges. In the first one, the central charges are obtained via the Scherk-Schwarz dimensional reduction from six dimensions, whereas in the second one they are generated by a covariantly constant background gauge superfield. Our analysis is extended to a more general situation with non-vanishing Fayet-Iliopoulos (FI) terms. The perturbatively induced Taub-NUT self-coupling in the Coulomb branch is found to be stable against adding the FI term, whereas the non-perturbatively generated (Eguchi-Hanson-type) hypermultiplet self-interaction is proposed for the Higgs branch.

Язык оригиналаАнглийский
Страницы (с-по)53-82
Число страниц30
ЖурналNuclear Physics B
Том509
Номер выпуска1-2
DOI
СостояниеОпубликовано - 5 янв 1998

Отпечаток

gauge theory
harmonics
interactions
equivalence
algebra
generators
scalars
symmetry
energy

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Цитировать

Induced hypermultiplet self-interactions in N = 2 gauge theories. / Ivanov, E. A.; Ketov, S. V.; Zupnik, B. M.

В: Nuclear Physics B, Том 509, № 1-2, 05.01.1998, стр. 53-82.

Результат исследований: Материалы для журналаСтатья

Ivanov, E. A. ; Ketov, S. V. ; Zupnik, B. M. / Induced hypermultiplet self-interactions in N = 2 gauge theories. В: Nuclear Physics B. 1998 ; Том 509, № 1-2. стр. 53-82.
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AB - We calculate the charged hypermultiplet low-energy effective action in the Coulomb branch of the 4D, N = 2 gauge theory, by using the harmonic superspace approach. We find that the unique leading contribution is given by the harmonic-analytic Lagrangian of the fourth order in the hypermultiplet superfields, with the induced coupling constant being proportional to central charges of N - 2 SUSY algebra. The central charges are identified with Cartan generators of the internal symmetry, and they give BPS masses to the hypermultiplets. The induced hyper-Kähler metrics appear to be the Taub-NUT metric or its higher-dimensional generalizations. Simultaneously, non-trivial scalar potentials are produced. Within the harmonic superspace method, we show an equivalence between the two known approaches to the 4D central charges. In the first one, the central charges are obtained via the Scherk-Schwarz dimensional reduction from six dimensions, whereas in the second one they are generated by a covariantly constant background gauge superfield. Our analysis is extended to a more general situation with non-vanishing Fayet-Iliopoulos (FI) terms. The perturbatively induced Taub-NUT self-coupling in the Coulomb branch is found to be stable against adding the FI term, whereas the non-perturbatively generated (Eguchi-Hanson-type) hypermultiplet self-interaction is proposed for the Higgs branch.

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