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2019

The geometry of optimal functionals

Huang, Yu-tin, Li, Wei, Lin, Guan-Lin

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In this paper, we give a geometric interpretation of optimal functionals in the context of intersection of symmetry planes and cyclic polytopes.

For 1D CFTs, we demonstrate that at given derivative order, the functional is given by a degenerate simplex of the cyclic polytope.
More precisely the derivative functionals at $2N{+}1$-th order, is given by an unique $N$-dimensional simplex enclosing the origin.
Taking the continuous limit, in the large $\Delta$ approximation this qualitatively agrees with that derived by Mazac et al.

The geometry of optimal functionals · Around

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S.-H. Shao Unpublished notes

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