String Quantum Symmetries and the SL(2,Z) Group

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, Plain Tex, INFN-CA-93-12

Scientific paper

10.1016/0370-2693(93)90977-P

We prove, using arguments relying only on the "special K\"ahler" structure of
the moduli space of the Calabi-Yau three-fold, that in the case of one single
modulus the quantum modular group of the string effective action corresponding
to Calabi-Yau vacua can not be SL(2,${Z\kern -4.6pt Z}$).

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