69,842 research outputs found
Glide reflection symmetry, Brillouin zone folding and superconducting pairing for the space group
Motivated by the studies of the superconducting pairing states in the
iron-based superconductors, we analyze the effects of Brillouin zone folding
procedure from a space group symmetry perspective for a general class of
materials with the space group. The Brillouin zone folding amounts to
working with an effective one-Fe unit cell, instead of the crystallographic
two-Fe unit cell. We show that the folding procedure can be justified by the
validity of a glide reflection symmetry throughout the crystallographic
Brillouin zone and by the existence of a minimal double degeneracy along the
edges of the latter. We also demonstrate how the folding procedure fails when a
local spin-orbit coupling is included although the latter does not break any of
the space group symmetries of the bare Hamiltonian. In light of these general
symmetry considerations, we further discuss the implications of the glide
reflection symmetry for the superconducting pairing in an effective
multi-orbital model. We find that the space group
symmetry allows only pairing states with even parity under the glide reflection
and zero total momentum
Breakdown of large-N quenched reduction in SU(N) lattice gauge theories
We study the validity of the large-N equivalence between four-dimensional
SU(N) lattice gauge theory and its momentum quenched version--the Quenched
Eguchi-Kawai (QEK) model. We find that the assumptions needed for the proofs of
equivalence do not automatically follow from the quenching prescription. We use
weak-coupling arguments to show that large-N equivalence is in fact likely to
break down in the QEK model, and that this is due to dynamically generated
correlations between different Euclidean components of the gauge fields. We
then use Monte-Carlo simulations at intermediate couplings with 20 <= N <= 200
to provide strong evidence for the presence of these correlations and for the
consequent breakdown of reduction. This evidence includes a large discrepancy
between the transition coupling of the "bulk" transition in lattice gauge
theories and the coupling at which the QEK model goes through a strongly
first-order transition. To accurately measure this discrepancy we adapt the
recently introduced Wang-Landau algorithm to gauge theories.Comment: 51 pages, 16 figures, Published verion. Historical inaccuracies in
the review of the quenched Eguchi-Kawai model are corrected, discussion on
reduction at strong-coupling added, references updated, typos corrected. No
changes to results or conclusion
Supergravity Theories in Coupled to Super p-Branes
We construct supergravity theories in twelve and thirteen dimensions with the
respective signatures (10,2) and (11,2) with some technical details. Starting
with N=1 supergravity in 10+2 dimensions coupled to Green-Schwarz superstring,
we give N=2 chiral supergravity in 10+2 dimensions with its couplings to super
(2+2)-brane. We also build an N=1 supergravity in 11+2 dimensions, coupled to
supermembrane. All of these formulations utilize scalar (super)fields intact
under supersymmetry, replacing the null-vectors introduced in their original
formulations. This method makes all the equations SO(10,2) or SO(11,2) Lorentz
covariant, up to modified Lorentz generators. We inspect the internal
consistency of these formulations, in particular with the usage of the modified
Lorentz generators for the extra coordinates.Comment: 47 pages, latex, minor corrections of typos, mismatched indices,
updated references, et
F-theorem, duality and SUSY breaking in one-adjoint Chern-Simons-Matter theories
We extend previous work on N=2 Chern-Simons theories coupled to a single
adjoint chiral superfield using localization techniques and the F-maximization
principle. We provide tests of a series of proposed 3D Seiberg dualities and a
new class of tests of the conjectured F-theorem. In addition, a proposal is
made for a modification of the F-maximization principle that takes into account
the effects of decoupling fields. Finally, we formulate and provide evidence
for a new general non-perturbative constraint on spontaneous supersymmetry
breaking in three dimensions based on Q-deformed S^3 partition functions. An
explicit illustration based on the known analytic solution of the Chern-Simons
matrix model is presented.Comment: 42 pages, 12 figures; v2 mostly cosmetic changes, references added;
v3 minor changes to match the published version in NP
PCT Theorem in Field Theory on Noncommutative Space
The PCT theorem is shown to be valid in quantum field theory formulated on
noncommutative spacetime by exploiting the properties of the Wightman functions
defined in such a set up.Comment: 7 page Latex file. Version to appear in PLB. References and text
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"Chiral'' and "Non-chiral'' 3d Seiberg duality
We propose a Seiberg duality for a 3d gauge theory
with spinor matters. For , the theory allows a magnetic dual
description with an gauge group. The matter content on the magnetic
side is ``chiral'' and the duality connects ``chiral'' and ``non-chiral'' 3d
gauge theories. As a corollary, we can construct a Seiberg duality for a 3d
gauge theory with fundamental matters.Comment: 18 page
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