Two-dimensional 𝒩 = (2, 2) super Yang-Mills theory on computer
نویسندگان
چکیده
منابع مشابه
Two - dimensional N = ( 2 , 2 ) super Yang - Mills theory on computer
We carry out preliminary numerical study of Sugino’s lattice formulation [1, 2] of the two-dimensional N = (2, 2) super Yang-Mills theory (2d N = (2, 2) SYM) with the gauge group SU(2). The effect of dynamical fermions is included by re-weighting a quenched ensemble by the pfaffian factor. It appears that the complex phase of the pfaffian due to lattice artifacts and flat directions of the clas...
متن کاملTwo dimensional N = ( 2 , 2 ) super Yang - Mills theory on the lattice via dimensional reduction
TheN = (2, 2) extended super Yang-Mills theory in 2 dimensions is formulated on the lattice as a dimensional reduction of a 4 dimensional lattice gauge theory. We use the plaquette action for a bosonic sector and the Wilsonor the overlap-Dirac operator for a fermion sector. The fermion determinant is real and, moreover, when the overlap-Dirac operator is used, semi-positive definite. The flat d...
متن کاملTwo - Dimensional Compact N = ( 2 , 2 ) Lattice Super Yang - Mills Theory
We construct two-dimensional N = (2, 2) lattice super Yang-Mills theory, where the gauge and Higgs fields are all represented by U(N) compact variables, with keeping one exact supercharge along the line of the papers [1, 2, 3]. Interestingly, requirements of the exact supersymmetry as well as of the compact gauge and Higgs fields lead to the gauge group U(N) rather than SU(N). As a result of th...
متن کاملA Geometrical Approach to N=2 Super Yang-Mills Theory on the Two Dimensional Lattice
We propose a discretization of two dimensional Euclidean Yang-Mills theories with N = 2 supersymmetry which preserves exactly both gauge invariance and an element of supersymmetry. The approach starts from the twisted form of the continuum super Yang Mills action which we show may be written in terms of two real Kähler-Dirac fields whose components transform into each other under the twisted su...
متن کاملWrapped fivebranes and N = 2 super Yang – Mills theory
We construct D = 10 supergravity solutions corresponding to type IIB fivebranes wrapping a two-sphere in a Calabi–Yau two-fold. These are related in the IR to the large N limit of pure N = 2 SU(N) super Yang–Mills theory. We show that the singularities in the IR correspond to the wrapped branes being distributed on a ring. We analyse the dynamics of a probe fivebrane and show that it incorporat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2007
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2007/09/052