Submissions from A. A. Shatashvili
 [1] faKiv:2101.07280 [pdf]

Quantum gravity in the presence of the AdS/CFT correspondence and the missing energy scaleComments: 15 pages, 3 figures
We investigate cosmological models with missing energy scale at a scale of admissible to the curvaturematter duality. The U(1) AdS/CFT correspondence, suggested by Weinberg and Weinberg, is a partition function of AdS$_2$/CFT$_2$ at the metric of AdS$_2$ which is not a conservation law. We determine the missing energy scale in the presence of the AdS/CFT correspondence and the missing energy scale in the absence of the AdS/CFT correspondence. We find that quantum gravity in the AdS/CFT correspondence provides a nontrivial way to obtain the missing energy scale for a general quantum gravity. Furthermore, we find that the argument for the missing energy scale for quantum gravity can be realized in the AdS/CFT correspondence.
 [2] faKiv:2101.07888 [pdf]

Imbalance of the O(3) theory and the N=1 modelComments: 8 pages, 4 figures
In this paper, we study the O(3) theory and the N=1 model with the O(3) symmetry group. The analysis of the O(3) theory is performed by using the modified Poincar\'e group and the modified K\"ahler group. We find that both of them are equivalent to the O(3) theory with the O(3) symmetry group.