The supersymmetric index in a one-fermion matrix model for N=4 SYM is independent of N due to exact cancellations between bosonic and fermionic trace relations.
Budzik,Supergroup Invariants and the Brane/Negative Brane Expansion,2509.20451
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Two open-string descriptions of branes on the resolved conifold are equivalent; integrating out one stack yields an effective potential that reproduces the backreaction and matches giant-graviton actions on the deformed conifold.
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Fermionic trace relations and supersymmetric indices at finite $N$
The supersymmetric index in a one-fermion matrix model for N=4 SYM is independent of N due to exact cancellations between bosonic and fermionic trace relations.
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Open-Closed-Open Triality Beyond Matrix Models
Two open-string descriptions of branes on the resolved conifold are equivalent; integrating out one stack yields an effective potential that reproduces the backreaction and matches giant-graviton actions on the deformed conifold.