Two Cases of Benign Lymphoid Polyps of the Large Intestine

Yamazaki, Shin-ichi; Yamazaki, Kenji; Kubota, Yoshiro; Kawaguchi, Yoneei; Sata, Naohiro

doi:10.11641/pdensks.51.0_198

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2013

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“…Finally, it would be interesting to see if similar techniques could be applied to 4d N = 1 theories, such as the theories in [42] and those in [43], [44]. The lens space indices of the latter theories will be discussed in [45] in connection with integrable models.…”

Section: Final Remarksmentioning

confidence: 99%

S-duality and the $ \mathcal{N}=2 $ lens space index

Razamat

Yamazaki

2013

J. High Energ. Phys.

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We discuss some of the analytic properties of lens space indices for 4d N = 2 theories of class S. The S-duality properties of these theories highly constrain the lens space indices, and imply in particular that they are naturally acted upon by a set of commuting difference operators corresponding to surface defects. We explicitly identify the difference operators to be a matrix-valued generalization of the elliptic Ruijsenaars-Schneider model. In a special limit these difference operators can be expressed naturally in terms of Cherednik operators appearing in the double affine Hecke algebras, with the eigenfunctions given by non-symmetric Macdonald polynomials. June 2013 J m (β) = J (x −m β) , (6.5) and then J m+1 (β) = J m (x −1 β) , J m−1 (β) = J m (xβ) . (6.6)

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