49 research outputs found
Is toric duality a Seiberg-like duality in (2+1)-d ?
We show that not all dimensional toric phases are Seiberg-like duals.
Particularly, we work out superconformal indices for the toric phases of Fanos
, and . We find that the indices for
the two toric phases of Fano do not match, which implies that
they are not Seiberg-like duals. We also take the route of acting Seiberg-like
duality transformation on toric quiver Chern-Simons theories to obtain dual
quivers. We study two examples and show that Seiberg-like dual quivers are not
always toric quivers.Comment: 21 pages, 7 figures, to be published in JHE
Partial resolution of complex cones over Fano
In our recent paper arXiv:1108.2387, we systematized inverse algorithm to
obtain quiver gauge theory living on the M2-branes probing the singularities of
special kind of Calabi-Yau four-folds which were complex cones over toric Fano
, , , . These quiver gauge
theories cannot be given a dimer tiling presentation. We use the method of
partial resolution to show that the toric data of and Fano
can be embedded inside the toric data of Fano
theories. This method indirectly justfies that the two node quiver Chern-Simons
theories corresponding to , Fano and their
orbifolds can be obtained by higgsing matter fields of the three node parent
quiver corresponding to Fano , , ,
three-folds.Comment: 22 pages, 8 figure
Constraints on CP-violating gauge-Higgs operators
We consider the most general set of invariant
CP-violating operators of dimension six, which contribute to interactions
(). Our aim is to constrain any CP-violating new physics
above the electroweak scale via the effective couplings that arise when such
physics is integrated out. For this purpose, we use, in turn, electroweak
precision data, global fits of Higgs data at the Large Hadron Collider and the
electric dipole moments of the neutron and the electron. We thus impose
constraints mainly on two-parameter and three-parameter spaces. We find that
the constraints from the electroweak precision data are the weakest. Among the
existing Higgs search channels, considerable constraints come from the diphoton
signal strength. We note that potential contribution to may in principle be a useful constraining factor, but it can be utilized
only in the high energy run. The contributions to electric dipole moments
mostly lead to the strongest constraints, though somewhat fine-tuned
combinations of more than one parameter with large magnitudes are allowed. We
also discuss constraints on gauge boson trilinear couplings which depend on the
parameters of the CP-violating operators .Comment: Published in Physical Review
Reconstructing a light pseudoscalar in the Type-X Two Higgs Doublet Model
We investigate the detectability as well as reconstructibility of a light
pseudoscalar particle , of mass in the 50 - 60 GeV range, which is still
allowed in a Type-X (lepton-specific) two-Higgs doublet scenario. Such a
pseudoscalar can be pair-produced in the decay of the 125 GeV scalar
. The light pseudoscalar in the aforementioned range, helpful in explaining
the muon anomalous magnetic moment, has not only substantial branching ratio in
the channel but also one of about in the
final state. We show how to faithfully reconstruct the mass using the
mode, and establish the existence of a pseudoscalar around 50 - 60
GeV, using the process . This is
the most reliable way of reconstructing the light mass, and is possible for
an integrated luminosity of about or less at 14 TeV, with a
statistical significance that amounts to discovery.Comment: v2: version published in PLB. 13 pages, 6 figures, 3 table
Topological entanglement and hyperbolic volume
The entanglement entropy of many quantum systems is difficult to compute in
general. They are obtained as a limiting case of the R\'enyi entropy of index
, which captures the higher moments of the reduced density matrix. In this
work, we study pure bipartite states associated with complements of a
two-component link which is a connected sum of a knot and the
Hopf link. For this class of links, the Chern-Simons theory provides the
necessary setting to visualise the -moment of the reduced density matrix as
a three-manifold invariant , which is the partition
function of . Here is a closed
3-manifold associated with the knot , where is a
connected sum of -copies of (i.e.,
) which mimics the well-known
replica method. We analyse the partition functions for
SU(2) and SO(3) gauge groups, in the limit of the large Chern-Simons coupling
. For SU(2) group, we show that can grow at most
polynomially in . On the contrary, we conjecture that
for SO(3) group shows an exponential growth in , where the leading term of
is the hyperbolic volume of the knot complement
. We further propose that the R\'enyi entropies
associated with SO(3) group converge to a finite value in the large limit.
We present some examples to validate our conjecture and proposal.Comment: 38 pages, 24 figures & 15 tables; v2: Introduction & Conclusion
modified, new subsection added in section 3, three new references added;
matches published versio
Entanglement on linked boundaries in Chern-Simons theory with generic gauge groups
We study the entanglement for a state on linked torus boundaries in
Chern-Simons theory with a generic gauge group and present the asymptotic
bounds of R\'enyi entropy at two different limits: (i) large Chern-Simons
coupling , and (ii) large rank of the gauge group. These results show
that the R\'enyi entropies cannot diverge faster than and ,
respectively. We focus on torus links with topological linking number
. The R\'enyi entropy for these links shows a periodic structure in and
vanishes whenever , where the integer
is a function of coupling and rank . We highlight that the
refined Chern-Simons link invariants can remove such a periodic structure in
.Comment: 31 pages, 5 figure
Knot-Quiver correspondence for double twist knots
We obtain a quiver representation for a family of knots called double twist
knots . Particularly, we exploit the reverse engineering of
Melvin-Morton-Rozansky(MMR) formalism to deduce the pattern of the charge
matrix for these quivers.Comment: 16 pages, 1 figures, published versio