Speaker
Description
Based on recent work in http://arxiv.org/abs/2306.12175, we discuss the double copy formulation of Moyal–Weyl type noncommutative gauge theories from the homotopy algebraic perspective of factorisations of $L_\infty$-algebras.
Within this framework, we show that noncommutative gauge theories exhibit a twisted form of colour-kinematics duality, which we use to show that their double copies match with the commutative case. Understanding the double copy relations as the low energy limit of a modified Kawai–Lewellen–Tye relation in string theory validates our argument.
We illustrate this explicitly for Chern–Simons theory.
In the interest of time we do not detail the calculation for Yang-Mills theory, but nevertheless the argument carries over and matches with the interpretation of non-commutative Yang-Mills as a low energy limit of open string theory in a background B field.
Time permitting we will discuss using our formalism to view known deformation of integrable theories as double copies themselves.
| Are you happy for your talk to be recorded? | Yes |
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| Please select the most relevant category | Amplitudes |
| Would you be interested in receiving feedback on your presentation? | Yes |
