In previous work we proposed a field theory model for multiple M2-branes based on an algebra with totally antisymmetric triple product. this paper gauge symmetry that arises from the algebra's We then construct supersymmetric is consistent all symmetries expected of M2-brane theory: 16 supersymmetries, conformal invariance, and $SO(8)$ R-symmetry acts eight transverse scalars. The not dynamical. result new type maximally in three dimensions.

We investigate the worldvolume theory that describes N coincident M2-branes ending on an M5 brane. argue fields describe transverse spacetime coordinates take values in a non-associative algebra. postulate set of supersymmetry transformations and find they close into novel gauge symmetry. propose three-dimensional N=2 supersymmetric action to truncation full scalar spinor fields, show how Basu-Harvey fuzzy funnel arises as BPS solution this theory.

We derive the general form for a three-dimensional scale-invariant field theory with $\mathcal{N}=6$ supersymmetry, $SU(4)$ R-symmetry and $U(1)$ global symmetry. The results can be written in terms of 3-algebra which triple product is not antisymmetric. For specific choice we obtain theories that have been recently proposed as models M2-branes an ${\mathbb{R}}^{8}/{\mathbb{Z}}_{k}$ orbifold background.

We revisit the relation of six-dimensional (2, 0) M5-brane Conformal Field Theory compactified on S 1 to 5D maximally supersymmetric Yang-Mills Gauge Theory. show that in broken phase super-Yang-Mills contains a spectrum soliton states can be identified with complete Kaluza-Klein modes an M2-brane ending M5-branes. This provides evidence theory is equivalent no additional UV degrees freedom, suggesting latter fact well-defined quantum and possibly finite.

We provide an M theory interpretation of the recently discovered N=8 supersymmetric Chern-Simons with SO(4) gauge symmetry. The is argued to describe two membranes moving in orbifold R8/Z2. At level k=1 and k=2, classical moduli space coincides infrared SO(5) super Yang-Mills theory, respectively. For higher level, a quotient M. generic point space, massive spectrum proportional area triangle formed by fixed point.

Using 3-algebras we obtain a nonabelian system of equations that furnish representation the (2, 0)-supersymmetric tensor multiplet. The on-shell conditions are quite restrictive so can be reduced to five-dimensional gauge theory along with six-dimensional abelian 0) multiplets. We briefly discuss possible applications D4-branes using spacelike reduction and M5-branes null reduction.

A bstract non-relativistic limit of the AdS/CFT correspondence is studied in context M2-branes. On field theory side this corresponds to a near-BPS ABJM that localises onto solutions Hitchin’s equations. It shown symmetries include an infinite-dimensional enhancement spatial symmetry algebra corresponding time-dependent holomorphic transformations. Taking gravitational dual splits geometry into three ‘large’ directions and eight ‘small’ Membrane-Newton-Cartan eleven-dimensional supergravity....

A bstract We study the gauging of a discrete ℤ 3 symmetry in five-dimensional superconformal T N theories. argue that this leads to an infinite sequence theories with either E 6 × SU( ) or SU(3) global group. In M -theory realisation as residing at origin Calabi-Yau orbifolds $$ \frac{{\mathbb{C}}^3}{{\mathbb{Z}}_N\times {\mathbb{Z}}_N} <mml:math...

A bstract We discuss non-relativistic variants of four-dimensional $$ \mathcal{N} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 super-Yang-Mills theory obtained from generalised Newton-Cartan geometric limits D3-branes in ten-dimensional spacetime. argue that the natural interpretation these is they correspond to D1-branes or intersecting original D3-branes. The resulting gauge theories have dynamics reduce quantum mechanics on monopole moduli...

We construct the M5-brane limit of eleven-dimensional supergravity. The resulting action is invariant under Galilean boosts and has a local scale symmetry. also consider equations motion where we recover Poisson-like equation arising from an source but which does not follow non-relativistic action. argue that theory describes gravitational fluctuations around stack M5-branes, represented by trivial Minkowskian spacetime, number M5-branes determined flux Lagrange multiplier field.

A bstract In arXiv:1007.2982 a novel system of equations which propagate in one null and four space directions were obtained as the on-shell conditions for six-dimensional (2, 0) superalgebra. this paper we show how reduces to one-dimensional motion on instanton moduli space. Quantization leads previous light-cone proposal theory, generalized include potential that arises Coulomb branch well couplings background gauge self-dual two-form fields.

We examine the relationships between three proposals for six-dimensional (2,0) theory: discrete light-cone quantization (DLCQ) of Aharony et al. [Adv. Theor. Math. Phys. 1, 148 (1998); Adv. 2, 119 (1998)], deconstruction prescription Arkani-Hamed [J. High Energy 01 (2003) 083], and five-dimensional maximally supersymmetric Yang-Mills proposal Douglas Lambert 02 (2011) 011; J. 083]. show that gives a Yang-Mills. The uses subset degrees freedom Yang-Mills, we compactification it on circle...

By including an additional self-dual three-form we construct a Lorentz invariant lagrangian for the abelian (2,0) tensor supermultiplet. The extra is supersymmetry singlet and decouples from We also present interacting non-abelian generalization which reproduces equations of motion [arXiv:1007.2982 [hep-th]] can describe some aspects two M5-branes.

A bstract Starting from the recent action proposed by Sen [1, 2], we evaluate partition function of compact chiral boson on a two-dimensional torus using path-integral formulation. Crucially, use Wick-rotation procedure obtained complex deformation physical spacetime metric. This directly reproduces expected result including general characteristics for theta functions. We also present results 2-form potential in six dimensions which can be readily extended to 4 k +2 dimensions.