Noncommutative $AdS_2$ I: Exact solutions
A. Pinzul, A. Stern
TL;DR
This paper investigates exact solutions for scalar field theories on noncommutative $AdS_2$, providing insights into their behavior and connections to known models through various limits.
Contribution
It presents the first comprehensive analysis of exact solutions for both massless and massive scalar fields on noncommutative $AdS_2$, expanding understanding of noncommutative geometries.
Findings
Derived explicit solutions for scalar fields on noncommutative $AdS_2$
Analyzed limits to connect with classical $AdS_2$ results
Enhanced understanding of noncommutative scalar field dynamics
Abstract
We study the exact solutions of both, massless and massive, scalar field theory on the noncommutative . We also discuss some important limits in order to compare with known results.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Algebraic structures and combinatorial models