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Critical exponents of the nonlinear sigma model on a Grassmann manifold <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi mathvariant="normal">U</mml:mi><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">U</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:mi>N</mml:mi><mml:mo>−</mml:mo><mml:mi>m</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:math> by …
Motivated by the realization of $\mathrm{SU}(N)$ antiferromagnetism with the multirow representations in cold-atom physics, we studied its low-energy nonlinear sigma model defined on the Grassmann manifold $\text{U}(N)/\text{U}(m)\text{U}(N\ensuremath{-}m)$ using the complex projective presentation, which is a direct generalization of the widely studied ${\mathrm{CP}}^{N\ensuremath{-}1}$ model (corresponding to $m=1$). Using the large-$N$ expansion …