On the Weyl anomaly of Wilson surfaces
نویسنده
چکیده
We compute the Weyl anomaly for an abelian Wilson surface by using a regularization that respects the gauge invariance. We then study the loop space on which lives a one-form connection. We restrict ourselves to the subsector consisting of only concentrical circular loops, and derive a Maxwell type action on this restricted loop space.
منابع مشابه
Weyl anomaly for Wilson surfaces
We consider a free two-form in six dimensions and calculate the conformal anomaly associated with a Wilson surface observable. May 1999 email:[email protected] email:[email protected]
متن کاملA Perturbative Study of a General Class of Lattice Dirac Operators
A perturbative study of a general class of lattice Dirac operators is reported, which is based on an algebraic realization of the Ginsparg-Wilson relation in the form γ5(γ5D) + (γ5D)γ5 = 2a (γ5D) 2k+2 where k stands for a non-negative integer. The choice k = 0 corresponds to the commonly discussed Ginsparg-Wilson relation and thus to the overlap operator. We study one-loop fermion contributions...
متن کاملN = 2 Super - Weyl Symmetry , Super - Liouville Theory and Super - Riemannian Surfaces
The finite form of the N = 2 super-Weyl transformations in the chiral and twistedchiral irreducible formulations of the two-dimensional N = 2 superfield supergravity are found in N = 2 superspace. The super-Weyl anomaly of the N = 2 extended fermionic string theory is computed in terms of the N = 2 superfields, by using a short time expansion of the N = 2 chiral heat kernel. The super-Weyl inva...
متن کاملWeyl fermions on the lattice and the non-abelian gauge anomaly
Starting from the Ginsparg-Wilson relation, a general construction of chiral gauge theories on the lattice is described. Local and global anomalies are easily discussed in this framework and a closed expression for the effective action can be obtained. Particular attention is paid to the non-abelian gauge anomaly, which is shown to be related to a local topological field on the lattice represen...
متن کاملSymmetry-protected ideal Weyl semimetal in HgTe-class materials.
Ideal Weyl semimetals with all Weyl nodes exactly at the Fermi level and no coexisting trivial Fermi surfaces in the bulk, similar to graphene, could feature deep physics such as exotic transport phenomena induced by the chiral anomaly. Here, we show that HgTe and half-Heusler compounds, under a broad range of in-plane compressive strain, could be materials in nature realizing ideal Weyl semime...
متن کامل