Submissions from Rafael Kyriaki

[1]  faKiv:2404.08300 [pdf]
Determining an infinite-dimensional Fermionic de Sitter space for noncommutative QFTs
Comments: 31 pages plus appendices

In this paper we study the question "does an infinite-dimensional Fermionic de Sitter space exist?" We begin by exploring the definition of an infinite-dimensional noncommutative QFT for the noncommutative finite-dimension $D=2$ of the noncommutative Fermionic gauge group. We then use this definition to determine a finite-dimensional finite-dimensional de Sitter space with infinite-dimensional noncommutative QFTs. We show that such a de Sitter space admits a null-energy condition. This null-energy condition is equivalent to the null-energy condition of an infinite-dimensional Fermionic gauge group. We then show that the finite-dimensional de Sitter space is also the finite-dimensional Fermionic gauge group.

[2]  faKiv:2404.08748 [pdf]
The effect of fluxes on the CFT decay constant
Comments: 3 pages, minor revisions, references added, version to appear in JHEP

We study the effect of an electric flux on the decay constant of the $AdS_3$ scalar field in a $2+1$ dimensional CFT given by $AdS_3 \times S^3$. We analyze the effect of the electric flux on the decay constant in the visible region, namely the zero-point energy scale. We find that the electric flux diminishes the value of the decay constant near the zero-point energy scale, while the zero-point energy scale increases.