Aspects of Membrane Theory

Mostly concerning Lorentz-invariance and the matrix-approximation of membranes ( GH1982: http:/dspace.mit.edu/handle/1721.1/15717, G1985, BFFS1997: Phys.Rev.D 55, 5512 ), as well as non-commutative string-theory ( JH1996: hep-th/9602020, IKKT1996: hep-th/9612115 )

I will discuss, out of about 100 related “M(-brane) Theory” papers the following 5:

2302.13146 (using 2 sets of so(1,2) representations to get a one-parameter class of exact time-dependent classical solutions of the GHBFSS model)

2504.06197/1903.10792 ,joint with Arnlind, Felder, Kontsevich (exact solutions of [[X_i,X_j],X_j]=0 and their Lorentzian/“IKKT”analogue)

1003.5189 (Fundamental Structures of M(-brane) Theory; a dynamical symmetry, as well as an infinite “reconstruction” algebra for arbitrary M-branes, generalizing the /M=1/ Virasoro algebra)

2202.06955 (integrability in the dynamics of axially symmetric membranes)