Weak Gravity Conjecture for Noncommutative Field Theory

Abstract

We investigate the weak gravity bounds on the U(1) gauge theory and scalar field theories in various dimensional noncommutative space. Many results are obtained, such as the upper bound on the noncommutative scale $g_{YM}{M}_p$ for four dimensional noncommutative U(1) gauge theory. We also discuss the weak gravity bounds on their commutative counterparts. For example, our result on 4 dimensional noncommutative U(1) gauge theory reduces in certain limit to its commutative counterpart suggested by Arkani-Hamed et.al at least at tree-level.

9 pages

References in corpus (11)

• String Theory and Noncommutative Geometry
• Noncommutative Field Theory
• Noncommutative Perturbative Dynamics
• Noncommutative Solitons
• The IR/UV Connection in the Non-Commutative Gauge Theories
• Dynamics of Strings in Noncommutative Gauge Theory
• Monopoles and Strings in Noncommutative Gauge Theory
• A note on Gauge Theories Coupled to Gravity
• Bounds on masses of bulk fields in string compactifications
• Weak gravity conjecture in the asymptotical dS and AdS background
• Some Low Dimensional Evidence for the Weak Gravity Conjecture

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