Ranks of gauge groups and an NP-complete problem on the Landscape
Abhijnan Rej
TL;DR
This paper proves that determining factor gauge groups from a given rank in the Landscape is an NP-complete problem, extending previous complexity results related to the cosmological constant.
Contribution
It establishes the NP-completeness of identifying gauge group factors from rank data in the string Landscape, revealing computational complexity challenges.
Findings
Determination of gauge groups is NP-complete.
Extends complexity results to gauge group identification.
Highlights computational difficulty in Landscape analysis.
Abstract
We prove that the problem of determination of factor gauge groups given the rank of the gauge group at any given vacuum in the Landscape is in the computational complexity class NPC. This extends a result of Denef and Douglas on the computational complexity of determination of the value of the cosmological constant in the Landscape.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · advanced mathematical theories