Gravitational Scattering in the c = 1 Matrix Model

Makoto Natsuume , Joseph Polchinski

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classification ✦ hep-th

keywords gravitationalmatrixmodelscatteringstringfieldlocalnonlocal

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The $c=1$ matrix model is equivalent to $1+1$ dimensional string theory. However, the tachyon self-interaction in the former is local, while in the latter it is nonlocal due to the gravitational, dilaton and higher string fields. By studying scattering of classical pulses we show that the appropriate nonlocal field redefinition converts the local matrix model interaction into the expected string form. In particular, we see how the asymptotic behavior of the gravitational field appears in the scattering.

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$c=1$ strings as a matrix integral
hep-th 2026-04 unverdicted novelty 8.0

The c=1 string perturbative S-matrix equals a double-scaled (0+0)-dimensional matrix integral on the spectral curve x(z)=2√2 cos(z), y(z)=sin(z), establishing triality with worldsheet and matrix quantum mechanics desc...