Membranes, Strings and Integrability
Chethan Krishnan, Carlo Maccaferri
TL;DR
This paper explores membrane field theories, BPS solutions, and integrability in ABJM theory, highlighting a numerical mismatch in one-loop calculations and discussing potential resolutions within the AdS4/CFT3 correspondence.
Contribution
It provides a review of membrane theories, analyzes BPS funnel solutions, and investigates integrability and perturbative mismatches in ABJM theory.
Findings
Identification of a one-loop numerical mismatch in worldsheet perturbation theory
Discussion of embedding M-theory fuzzy funnels in membrane theories
Analysis of integrability tests in ABJM theory
Abstract
In the first half of this note, after briefly motivating and reviewing membrane field theories, we consider their BPS funnel solutions. We discuss some aspects of embedding M-theory fuzzy funnels in these theories. In the second half, we focus on ABJM theory and explain a test of AdS4/CFT3 based on integrability. We discuss a numerical mismatch at one loop in worldsheet perturbation theory and its possible resolutions.
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