On the N = 2 Superconformal Index and Eigenfunctions of the Elliptic RS Model

Shlomo S. Razamat

doi:10.1007/s11005-014-0682-5

On the N = 2 Superconformal Index and Eigenfunctions of the Elliptic RS Model

Research output: Contribution to journal › Article › peer-review

Abstract

We define an infinite sequence of superconformal indices, I_n, generalizing the Schur index for N = 2 theories. For theories of class S we then suggest a recursive technique to completely determine I_n. The information encoded in the sequence of indices is equivalent to the N = 2 superconformal index depending on a maximal set of fugacities. Mathematically, the procedure suggested in this note provides a perturbative algorithm for computing a set of eigenfunctions of the elliptic Ruijsenaars-Schneider model.

Original language	English
Pages (from-to)	673-690
Number of pages	18
Journal	Letters in Mathematical Physics
Volume	104
Issue number	6
DOIs	https://doi.org/10.1007/s11005-014-0682-5
State	Published - Jun 2014
Externally published	Yes

Keywords

4d supersymmetric theories
superconformal index
supersymmetric dualities

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s11005-014-0682-5

Cite this

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title = "On the N = 2 Superconformal Index and Eigenfunctions of the Elliptic RS Model",

abstract = "We define an infinite sequence of superconformal indices, In, generalizing the Schur index for N = 2 theories. For theories of class S we then suggest a recursive technique to completely determine In. The information encoded in the sequence of indices is equivalent to the N = 2 superconformal index depending on a maximal set of fugacities. Mathematically, the procedure suggested in this note provides a perturbative algorithm for computing a set of eigenfunctions of the elliptic Ruijsenaars-Schneider model.",

keywords = "4d supersymmetric theories, superconformal index, supersymmetric dualities",

author = "Razamat, {Shlomo S.}",

note = "Funding Information: We would like to thank A. Gadde, D. Gaiotto, E. Langmann, L. Rastelli, Y. Tachikawa, and B. Willett for very interesting discussions. We are grateful to the organizers of the workshop “Elliptic Integrable Systems and Hypergeometric Functions”, (July 2013, Lorentz Center), the organizers of the Simons Summer Workshop in Stony Brook (August 2013), and to the high energy theory group at the Weizmann Institute for hospitality during different stages of this project. We gratefully acknowledge support from the Martin A. Chooljian and Helen Chooljian membership at the Institute for Advanced Study. This research was also partially supported by NSF grant number PHY-0969448.",

year = "2014",

month = jun,

doi = "10.1007/s11005-014-0682-5",

language = "الإنجليزيّة",

volume = "104",

pages = "673--690",

journal = "Letters in Mathematical Physics",

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TY - JOUR

T1 - On the N = 2 Superconformal Index and Eigenfunctions of the Elliptic RS Model

AU - Razamat, Shlomo S.

N1 - Funding Information: We would like to thank A. Gadde, D. Gaiotto, E. Langmann, L. Rastelli, Y. Tachikawa, and B. Willett for very interesting discussions. We are grateful to the organizers of the workshop “Elliptic Integrable Systems and Hypergeometric Functions”, (July 2013, Lorentz Center), the organizers of the Simons Summer Workshop in Stony Brook (August 2013), and to the high energy theory group at the Weizmann Institute for hospitality during different stages of this project. We gratefully acknowledge support from the Martin A. Chooljian and Helen Chooljian membership at the Institute for Advanced Study. This research was also partially supported by NSF grant number PHY-0969448.

PY - 2014/6

Y1 - 2014/6

N2 - We define an infinite sequence of superconformal indices, In, generalizing the Schur index for N = 2 theories. For theories of class S we then suggest a recursive technique to completely determine In. The information encoded in the sequence of indices is equivalent to the N = 2 superconformal index depending on a maximal set of fugacities. Mathematically, the procedure suggested in this note provides a perturbative algorithm for computing a set of eigenfunctions of the elliptic Ruijsenaars-Schneider model.

AB - We define an infinite sequence of superconformal indices, In, generalizing the Schur index for N = 2 theories. For theories of class S we then suggest a recursive technique to completely determine In. The information encoded in the sequence of indices is equivalent to the N = 2 superconformal index depending on a maximal set of fugacities. Mathematically, the procedure suggested in this note provides a perturbative algorithm for computing a set of eigenfunctions of the elliptic Ruijsenaars-Schneider model.

KW - 4d supersymmetric theories

KW - superconformal index

KW - supersymmetric dualities

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U2 - 10.1007/s11005-014-0682-5

DO - 10.1007/s11005-014-0682-5

M3 - مقالة

SN - 0377-9017

VL - 104

SP - 673

EP - 690

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 6

ER -

On the N = 2 Superconformal Index and Eigenfunctions of the Elliptic RS Model

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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