On effective action of multiple M5-branes and ABJM action

Abstract

Abstract:We calculate the fluctuations from the classical multiple M5-brane solution of ABJM action which we found in the previous paper. We obtain D4-brane-like action but the gauge coupling constant depends on the spacetime coordinate. This is consistent with the expected properties of M5-brane action, although we will need to take into account the monopole operators in order to fully understand M5-branes. We also see that the Nambu-Poisson bracket is hidden in the solution.

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].…”

Large N behavior of mass deformed ABJM theory

“…1 In these solutions the M5-branes are realized as the M2-branes blowing up into a fuzzy sphere. There is also a noncommutativeplane-like construction of the M5-branes [12,13]. These solutions enable us to investigate the M5-branes via the ABJM theory.…”

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

“…and 8 For any field Φ, its zero mode is denoted as Φ (0) . All the equations above are valid for n = 0 (the zero modes) as well.…”