What the study found
The study found that certain gauged matrix models with a global symmetry can be simplified by "double gauging," meaning singlet states are required under both the gauge symmetry and the global symmetry. In the BMN subsector of (mathcal{N}=4) SU(N) super Yang-Mills theory, the authors also found that projecting onto SU(3) R-symmetry singlets simplifies the study of non-graviton operators.
Why the authors say this matters
The authors say this matters because the BMN subsector includes non-graviton operators that are expected to relate to microstates of supersymmetric AdS5 black holes. They conclude that the simplified singlet projection helps analyze the non-graviton spectrum.
What the researchers tested
The researchers studied the Hilbert space of gauged matrix models with a global symmetry. They examined bosonic matrix models with U(2) gauge symmetry and SO(d) global symmetry, and they also analyzed the BMN subsector of (mathcal{N}=4) SU(N) super Yang-Mills theory, which is closely related to the BMN matrix model.
What worked and what didn't
For the bosonic matrix models, the authors showed that the double-gauged system can be described using a simpler SO(3) single-matrix model. For the BMN subsector, they found that for low values of N, almost all graviton operators project out of the spectrum, while important classes of non-graviton operators remain. For N = 3, they obtained a closed-form expression for the superconformal index of singlet non-gravitons, which reveals structural features of their spectrum.
What to keep in mind
The abstract does not describe detailed limitations beyond the specific model classes and sectors studied. The reported results are limited to the bosonic U(2) and SO(d) setup, and to the BMN subsector with SU(3) R-symmetry singlet projection.
Key points
- Double gauging reduces certain bosonic matrix models to a simpler SO(3) single-matrix model.
- In the BMN subsector of (mathcal{N}=4) SU(N) super Yang-Mills theory, SU(3) R-symmetry singlet projection simplifies the non-graviton spectrum.
- For low N, almost all graviton operators project out, while important non-graviton operators remain.
- For N = 3, the authors obtained a closed-form superconformal index for singlet non-gravitons.
Disclosure
- Research title:
- Double gauging simplifies matrix-model spectra
- Image credit:
- Photo by Ilya Kovalchuk on Pexels
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