Penrose limits and TsT for fibered $I$-branes

TL;DR

This paper investigates the effects of TsT transformations and Penrose limits on fibered I-brane solutions, revealing preserved solvability and new field theory sectors or pp wave backgrounds.

Contribution

It analyzes the interplay between TsT transformations and Penrose limits on fibered I-branes, uncovering solvability preservation and novel field theory sectors.

Findings

TsT preserves solvability in a simple way, similar to standard Tar T.

One case yields an asymptotically free, IR nontrivial field theory sector.

Another case produces a new parallelizable pp wave background.

Abstract

In this paper we analyze a generalized "single-trace $T\bar T$" deformation, defined by a TsT transformation, of the fibered $I$-brane solution from \cite{Nunez2023}. We use the Penrose limit to understand it, and we consider both the TsT followed by the Penrose limit, as well as the Penrose limit followed by TsT. We describe the spin chains obtained in field theory. In the first case we find that, indeed, the TsT transformation preserves solvability in a simple way, as in the standard $T\bar T$ case. In the second case, we have several options, but none is simple enough to be conclusive, however, one case gives us an asymptotically free and IR nontrivial field theory sector, and another a new parallelizable pp wave.