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EnglishThe generalisation of the rigid special geometry of the vector multiplet quantum moduli space to the case of supergravity is discussed through the notion of a dynamical Calabi--Yau threefold. Duality symmetries of this manifold are connected with the analogous dualities associated with the dynamical Riemann surface of the rigid theory. N=2 rigid gauge theories are reviewed in a framework ready for comparison with the local case. As a byproduct we give in general the full duality group (quantum monodromy) for an arbitrary rigid $SU(r+1)$ gauge theory, extending previous explicit constructions for the $r=1,2$ cases. In the coupling to gravity, R--symmetry and monodromy groups of the dynamical Riemann surface, whose structure we discuss in detail, are embedded into the symplectic duality group $\Gamma_D$ associated with the moduli space of the dynamical Calabi--Yau threefold.
A search for non-perturbative dualities of local N=2 Yang-Mills theories from Calabi-Yau threefolds / M. BILLO'; CERESOLE A.; D'AURIA R.; FERRARA S.; FRE' P.; REGGE T.; SORIANI P.; VAN PROEYEN A.. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - 13(1996), pp. 831-864.
| Titolo: | A search for non-perturbative dualities of local N=2 Yang-Mills theories from Calabi-Yau threefolds |
| Autori Riconosciuti: | |
| Autori: | M. BILLO'; CERESOLE A.; D'AURIA R.; FERRARA S.; FRE' P.; REGGE T.; SORIANI P.; VAN PROEYEN A. |
| Data di pubblicazione: | 1996 |
| Abstract: | The generalisation of the rigid special geometry of the vector multiplet quantum moduli space to the case of supergravity is discussed through the notion of a dynamical Calabi--Yau threefold. Duality symmetries of this manifold are connected with the analogous dualities associated with the dynamical Riemann surface of the rigid theory. N=2 rigid gauge theories are reviewed in a framework ready for comparison with the local case. As a byproduct we give in general the full duality group (quantum monodromy) for an arbitrary rigid $SU(r+1)$ gauge theory, extending previous explicit constructions for the $r=1,2$ cases. In the coupling to gravity, R--symmetry and monodromy groups of the dynamical Riemann surface, whose structure we discuss in detail, are embedded into the symplectic duality group $\Gamma_D$ associated with the moduli space of the dynamical Calabi--Yau threefold. |
| Editore: | IOP Publishing Limited:Dirac House, Temple Back, Bristol BS1 6BE United Kingdom:011 44 117 9297481, EMAIL: custserv@iop.org, INTERNET: http://www.iop.org, Fax: 011 44 117 9294318 |
| Volume: | 13 |
| Pagina iniziale: | 831 |
| Pagina finale: | 864 |
| Parole Chiave: | Fisica teorica |
| Rivista: | CLASSICAL AND QUANTUM GRAVITY |
| Appare nelle tipologie: | 03A-Articolo su Rivista |
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