[PDF] Top 20 Gauge theories in three dimensions

... In order to understand why the spectral function is gauge-invariant in both the GT and to order e2 in perturbation theory, we will now study the .general x-space behaviour of the spectra[r] ... See full document

... supersymmetric gauge theories in three ...the theories and show how they can be defined on a compact curved manifold: the ...to theories with extended supersymmetry in which ... See full document

... in three dimensions, known as 3-D mirror symmetry, has been proposed by ...different theories in the IR limit. In this regime a supersymmetric gauge theory is described by a strongly coupled ... See full document

... chiral gauge theories, for example, we will need to insert a superpotential which in turn imposes an algebra on the arrows, or in the case of Chern-Simons quivers, we need levels as well as ...of ... See full document

... six dimensions seems to be much ...the theories which are sensible quantum field theories in four dimensions, the microscopic physics of M -theory will not ...the gauge theory degrees of ... See full document

... spacetime dimensions, divergences only occur at even loop order, so to go be- yond leading order we are driven to consider a four-loop ...3 dimensions F = 8π 1 ...of theories once the lowest-order ... See full document

... supersymmetric gauge theories in four-dimensions has ...world-volume gauge theories of D3-branes probing non-compact Calabi-Yau manifolds that admit a toric description [1], has ... See full document

... The anisotropic lattice is a popular tool in numerical simulations. The usual approach is to make the temporal lat- tice spacing fine while keeping the spatial directions rela- tively coarse. The extra temporal ... See full document

... boundary gauge theory is confining at low temperatures and such that solutions with non-zero scalar correspond to relevant deformations by a dimension three scalar operator (for details, see ... See full document

... the gauge fields as quasi-particles with properties depending on the Reynolds ...the three Cartesian spatial directions, which interact with each ... See full document

... study gauge theories inside the conformal window close to its upper ...the gauge group, number of massless fermion flavors and the representation they carry are such that the perturbative β-function ... See full document

... anomalous dimensions (which themselves do vanish at leading order if the manifold of fixed points include the free theory) vanish at first order, then the theory is finite to all orders (references in ...finite ... See full document

... Bagger-Lambert theories based on ...construct theories of this type for other gauge groups and representations, we conjecture the (by now proven) uniqueness of its SO(4) ...resulting theories ... See full document

... ambient space. In section 2.2.3 we construct three canonical maps of this elliptic curve to the non-generic elliptic curves in dP 2 . In section 2.2.4 we find the Weierstrass form of the curve E along with the ... See full document

... by our knowledge of γ . Thus all the β-functions that depend on soft-breaking parameters are determined by the underlying supersymmetric theory, except for the one associated with a FI-term. We have verified Eq. (30) by ... See full document

... In conclusion, we have proposed a model of ultra- cold bosons trapped in an optical lattice, that through periodic modulations of the lattice depth and interac- tions is capable of simulating at sufficiently low energy ... See full document

... Such theories are studied in [4, ...dimensional gauge theory with N = 2 supersymmetry, with L hypermultiplets in the fundamental representation, and the gauge group U (N ), then, upon the ... See full document

... the three-loop gauge ...1)-loop gauge β-function from the n- (and lower-) loop Yukawa β-function and the (n − 1) (and lower) loop scalar ...1)-loop gauge β-function is determined by the lower ... See full document

... 26 dimensions and the open bosonic string, [27, 28] as well as work on the conformal invariance of 4d gauge theories in the presence of space-time couplings, ... See full document

... Landau gauge. However, by minimizing the square of the gauge potential over only the off-diagonal sector of the the colour group, as opposed to the full group in the usual covariant gauge situation, ... See full document