Hidden symmetries of the Nambu-Goto action
نویسنده
چکیده
ABSTRACT We organize the eight variables of the four-dimensional bosonic string (Ẋ, X ) into a 2×2×2 hypermatrix aAA′A′′ and show that in signature (2, 2) the Nambu-Goto Lagrangian is given by √ Det a where Det is Cayley’s hyperdeterminant. This is invariant not only under [SL(2, R)] but also under interchange of the indices A, A and A. This triality reveals hitherto hidden discrete symmetries of the Nambu-Goto action.
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تاریخ انتشار 2006