We examine the quantum theories of W(infinity) gravity and W1+infinity gravity, and show that they respectively exhibit SL(infinity, R) and GL(infinity, R) Kac-Moody symmetries. These symmetries generalise the SL(2, R) Kac-Moody symmetry of light-cone two-dimensional quantum gravity, found by Polyakov.
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Ist Nazl Fis Nucl, Sez Firenze, Via G Sansone 1, I-50019 Florence, ItalyIst Nazl Fis Nucl, Sez Firenze, Via G Sansone 1, I-50019 Florence, Italy
Cappelli, Andrea
Maffi, Lorenzo
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Ist Nazl Fis Nucl, Sez Firenze, Via G Sansone 1, I-50019 Florence, Italy
Univ Firenze, Dipartimento Fis, Via G Sansone 1, I-50019 Florence, ItalyIst Nazl Fis Nucl, Sez Firenze, Via G Sansone 1, I-50019 Florence, Italy