The 3-Lie algebra (2,0) tensor multiplet and equations of motion on loop space

Abstract

We show that a recently found set of supersymmetric equations of motion for a 3-Lie algebra-valued (2,0) tensor multiplet finds a natural interpretation as supersymmetric gauge field equations on loop space. We find that BPS solutions to these equations yield a previously proposed nonabelian extension of the selfdual string. We describe an ADHMN-like construction that allows for the explicit construction of such BPS solutions

Multiple membranes in M-theory

“…We then find the simple equation As discussed in Section 2.2 this reproduces the correct behaviour for both the radial profile and the energy, to account for the self-dual strings on the M5-brane worldvolume. Furthermore one can consider an M-theory version of the Nahm construction for self-dual strings [223][224][225][226].…”

The conformal anomaly of M5-branes

“…Among the outstanding remaining questions is understanding the extent to which all four and six derivative interactions are determined by the top form fermion couplings, or more generally, a complete understanding of the supersymmetry constraints. In terms of recent literature, work has focused on possibly defining the (2, 0) theory via gauge theory [15][16][17][18][19][20][21][22], studying amplitudes for the (2, 0) theory [23], circle compactifications [24,25], the conformal anomaly of Wilson surfaces [26], and connections with membrane theories [27][28][29][30][31][32]; for a review of prior developments, see [33].…”

Aspects of effective theory for multiple M5-branes compactified on circle

“…In addition to the works mentioned above, there are many other attempts to formulate an effective theory for multiple M5-branes, or just to explore potentially interesting higher-form gauge theories in 6D. Some approached the problem through the mathematical notion of 3-algebra [5,9,11,16,32], higher gauge theory or twistor space [4,24,36,38,41]. Some used holographical principle as a tool [21,34,42,43].…”