Submissions from A. P. Zaccaria
- [1] faKiv:2404.07806 [pdf]
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Compactification in higher-spin fields with massless synchronous couplingsComments: 12 pages, 2 figures
We study compactification effects in the $SU(3)$ Chern-Simons theory of higher-spin fields with massless synchronous couplings, by performing the standard 1/2-Chern-Simons decomposition in terms of the 1/4-Chern-Simons decomposition. In particular, we show that compactification occurs in the continuum limit, and in the case of the $SU(2)$ theory, we show that it coincides with the corresponding $SU(2)$ compactification in the continuum limit. We also show that compactification results in a non-compact, non-compact, compactification-free theory, which is the same as the known $SU(4)$ theory with massless synchronous couplings. Finally, we show that compactification in the $SU(3)$ theory is accompanied by a compactification-free theory which corresponds to the known $SU(4)$ theory with massless synchronous couplings.
- [2] faKiv:2404.08823 [pdf]
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Bunch-Davies Equation for the Case of Anomalous Lattice Gravitational WavesComments: 11 pages, 3 figures, v3: references added, typos corrected
We use the Bunch-Davies equation of motion for a perturbative system for the case of anomalous lattice gravitational waves to investigate the reason why "Higgs-like" duality of the Bunch-Davies equation is not preserved in the presence of gravitational waves. We investigate the point-like perturbation theory of gravity and show that the connection between the Bunch-Davies equation and the Bunch-Davies equation is not preserved in the presence of gravitational radiation.