Supersymmetric Yang Mills Fields and Black Holes ; In Ten Dimensional Unified Field Theory

TL;DR

This paper explores supersymmetric Yang Mills fields and black holes within a ten-dimensional unified field theory, linking their theoretical properties to observational phenomena like gamma-ray bursts and particle spectra.

Contribution

It introduces a framework connecting supersymmetric Yang Mills fields and black hole solutions in a ten-dimensional theory, emphasizing their role in early universe and black hole physics.

Findings

Black hole solutions involve SUSY YM fields in ten dimensions

Primordial black holes relate to gamma-ray bursts and particle spectra

Invariants define conditions for black hole formation and evaporation

Abstract

The Ten dimensional Unified field theory has a 4 dimensional Riemannian spacetime and six dimensional Calabi Yau space structure. The supersymmetric Yang Mills fields and black holes are solutions in these theories. The formation of primordial black holes in early universe, the collapse to singularity of stellar black holes, the Hawking evaporation of microscopic black holes in LHC are topics of observational and theoretical interest. The observation of gamma ray bursts and creation of spectrum of particles and radiation of dark and normal matter occur due to primordial and microscopic black holes. The approach to singularity in black hole interior solutions, require the Bogoliubov transforms of SUSY YM fields in black hole geometries; both during formation and in evaporation. The Hawking effect of radiating black holes is applicable for all the fields. Invariants can be defined to give the conditions for these processes.