Abstract
We determine the mathematical structures which govern the Ω deformation of supersymmetric intersections of M2 and M5 branes. We find that the supersymmetric intersections govern many aspects of the theory of W-algebras, including degenerate modules, the Miura transform and Coulomb gas constructions. We give an algebraic interpretation of the Pandharipande-Thomas box counting in ℂ3.
Highlights
M-theory is described at low energy by an eleven-dimensional supergravity theory endowed with very specific effective action [1]
Holography provides strong constraints, as the flat space S-matrix can be extracted from the correlation functions of the world-volume SCFTs for stacks of M2 or M5 branes [6, 7]
M5 branes become two-dimensional objects extended along an holomorphic direction, endowed with a world-sheet chiral algebra of local operators which arise as an Ωdeformation of the physical worldvolume theory as in [17]
Summary
M-theory is described at low energy by an eleven-dimensional supergravity theory endowed with very specific effective action [1]. The same structure encodes certain “higher operations” in twisted M-theory, which should be in principle computable by a descent procedure in the physical theory [14] and constrain some protected couplings in the supergravity effective action. Such a translation is not currently available. We will find that the whole structure, including the protected OPEs of stacks of branes, can be reconstructed from the knowledge of the simplest such intersection: a single M2 brane completely transversal to a single M5 brane
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
