The Panorama of Spin Matrix theory
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The Panorama of Spin Matrix theory. / Baiguera, Stefano; Harmark, Troels; Lei, Yang.
I: Journal of High Energy Physics, Bind 2023, Nr. 4, 75, 18.04.2023.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - The Panorama of Spin Matrix theory
AU - Baiguera, Stefano
AU - Harmark, Troels
AU - Lei, Yang
PY - 2023/4/18
Y1 - 2023/4/18
N2 - Spin Matrix theory describes near-BPS limits of N = 4 SYM theory, which enables us to probe finite N effects like D-branes and black hole physics. In previous works, we have developed the spherical reduction and spin chain methods to construct Spin Matrix theory for various limits. In this paper, by considering a supercharge Q which is cubic in terms of the letters, we construct the Hamiltonian of the largest Spin Matrix theory of N - 4 SYM, called the PSU(1, 2|3) Spin Matrix theory, as H = {Q, Q(dagger)}. We show the resulting Hamiltonian is automatically positive definite and manifestly invariant under supersymmetry. The Hamiltonian is made of basic blocks which transform as supermultiplets. A novel feature of this Hamiltonian is its division into D-terms and F-terms that are separately invariant under PSU(1, 2|3) symmetry and positive definite. As all the other Spin Matrix theories arising from N = 4 SYM can be acquired by turning off certain letters in the theory, we consider our work as revealing the "Panorama" of Spin Matrix theory.
AB - Spin Matrix theory describes near-BPS limits of N = 4 SYM theory, which enables us to probe finite N effects like D-branes and black hole physics. In previous works, we have developed the spherical reduction and spin chain methods to construct Spin Matrix theory for various limits. In this paper, by considering a supercharge Q which is cubic in terms of the letters, we construct the Hamiltonian of the largest Spin Matrix theory of N - 4 SYM, called the PSU(1, 2|3) Spin Matrix theory, as H = {Q, Q(dagger)}. We show the resulting Hamiltonian is automatically positive definite and manifestly invariant under supersymmetry. The Hamiltonian is made of basic blocks which transform as supermultiplets. A novel feature of this Hamiltonian is its division into D-terms and F-terms that are separately invariant under PSU(1, 2|3) symmetry and positive definite. As all the other Spin Matrix theories arising from N = 4 SYM can be acquired by turning off certain letters in the theory, we consider our work as revealing the "Panorama" of Spin Matrix theory.
KW - AdS-CFT Correspondence
KW - Field Theories in Lower Dimensions
KW - Supersymmetric Effective Theories
KW - Supersymmetric Gauge Theory
KW - SUPER-YANG-MILLS
KW - ADS/CFT INTEGRABILITY
KW - DILATATION OPERATOR
KW - CHERN-SIMONS
U2 - 10.1007/JHEP04(2023)075
DO - 10.1007/JHEP04(2023)075
M3 - Journal article
VL - 2023
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 4
M1 - 75
ER -
ID: 355086679