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arxiv: hep-th/0506132 · v1 · submitted 2005-06-16 · ✦ hep-th

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Solving the eigenvalue problem arising from the adjoint sector of the c=1 matrix model

Lukasz Fidkowski

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classification ✦ hep-th
keywords adjointeigenvaluematrixmodelproblemsectorarisingarose
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We solve the non-local eigenvalue problem that arose from consideration of the adjoint sector of the c=1 matrix model in hep-th/0503112. We obtain the exact wavefunction and a scattering phase that matches the string theory calculation.

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  1. $c=1$ 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...