Celestial Topology, Symmetry Theories, and Evidence for a Non-SUSY D3-Brane CFT

TL;DR

This paper explores celestial symmetry frameworks in string theory, analyzing how symmetry breaking and fixed points manifest in non-supersymmetric D3-brane gauge theories through celestial geometry.

Contribution

It introduces a celestial generalization of boundary at infinity for SymThs and applies it to analyze symmetry effects in non-SUSY D3-brane theories.

Findings

Evidence for an intermediate symmetry-preserving conformal fixed point.

Comparison of symmetry breaking effects at different coupling regimes.

Insights into celestial geometry's role in non-SUSY gauge theories.

Abstract

Symmetry Theories (SymThs) provide a flexible framework for analyzing the global categorical symmetries of a $D$-dimensional QFT$_{D}$ in terms of a $(D+1)$-dimensional bulk system SymTh$_{D+1}$. In QFTs realized via local string backgrounds, these SymThs naturally arise from dimensional reduction of the linking boundary geometry. To track possible time dependent effects we introduce a celestial generalization of the standard "boundary at infinity" of a SymTh. As an application of these considerations we revisit large $N$ quiver gauge theories realized by spacetime filling D3-branes probing a non-supersymmetric orbifold $\mathbb{R}^6 / \Gamma$. Comparing the imprint of symmetry breaking on the celestial geometry at small and large 't Hooft coupling we find evidence for an intermediate symmetry preserving conformal fixed point.