Dual boundary conditions in 3d SCFT’s Dimofte, Tudor; Gaiotto, Davide; Paquette, Natalie M.
The journal of high energy physics,
05/2018, Volume:
2018, Issue:
5
Journal Article
Peer reviewed
Open access
A
bstract
We propose matching pairs of half-BPS boundary conditions related by IR dualities of 3d
N
=
2
gauge theories. From these matching pairs we construct duality interfaces. We test our ...proposals by anomaly matching and the computation of supersymmetric indices. Examples include basic abelian dualities, level-rank dualities, and Aharony dualities.
A
bstract
Argyres-Douglas (AD) theories constitute an infinite class of superconformal field theories in four dimensions with a number of interesting properties. We study several new aspects of AD ...theories engineered in
A
-type class
S
with one irregular puncture of Type I or Type II and also a regular puncture. These include conformal manifolds, structures of the Higgs branch, as well as the three dimensional gauge theories coming from the reduction on a circle. We find that the latter admits a description in terms of a linear quiver with unitary and special unitary gauge groups, along with a number of twisted hypermultiplets. The origin of these twisted hypermultiplets is explained from the four dimensional perspective. We also propose the three dimensional mirror theories for such linear quivers. These provide explicit descriptions of the magnetic quivers of all the AD theories in question in terms of quiver diagrams with unitary gauge groups, together with a collection of free hypermultiplets. A number of quiver gauge theories presented in this paper are new and have not been studied elsewhere in the literature.
Duality quantum computing is a new mode of a quantum computer to simulate a moving quantum computer passing through a multi-slit. It exploits the particle wave duality property for computing. A ...quantum computer with
n
qubits and a qudit simulates a moving quantum computer with
n
qubits passing through a
d
-slit. Duality quantum computing can realize an arbitrary sum of unitaries and therefore a general quantum operator, which is called a generalized quantum gate. All linear bounded operators can be realized by the generalized quantum gates, and unitary operators are just the extreme points of the set of generalized quantum gates. Duality quantum computing provides flexibility and a clear physical picture in designing quantum algorithms, and serves as a powerful bridge between quantum and classical algorithms. In this paper, after a brief review of the theory of duality quantum computing, we will concentrate on the applications of duality quantum computing in simulations of Hamiltonian systems. We will show that duality quantum computing can efficiently simulate quantum systems by providing descriptions of the recent efficient quantum simulation algorithm of Childs and Wiebe (Quantum Inf Comput 12(11–12):901–924,
2012
) for the fast simulation of quantum systems with a sparse Hamiltonian, and the quantum simulation algorithm by Berry et al. (Phys Rev Lett 114:090502,
2015
), which provides exponential improvement in precision for simulating systems with a sparse Hamiltonian.
3d dualities from 4d dualities Aharony, Ofer; Razamat, Shlomo S.; Seiberg, Nathan ...
The journal of high energy physics,
07/2013, Volume:
2013, Issue:
7
Journal Article
Peer reviewed
Open access
A
bstract
Many examples of low-energy dualities have been found in supersymmetric gauge theories with four supercharges, both in four and in three space-time dimensions. In these dualities, two ...theories that are different at high energies have the same low-energy limit. In this paper we clarify the relation between the dualities in four and in three dimensions. We show that every four dimensional duality gives rise to a three dimensional duality between theories that are similar, but not identical, to the dimensional reductions of the four dimensional dual gauge theories to three dimensions. From these specific three dimensional dualities one can flow to many other low-energy dualities, including known three dimensional dualities and many new ones. We discuss in detail the case of three dimensional SU(
N
c
) supersymmetric QCD theories, showing how to derive new duals for these theories from the four dimensional duality.
Abstract The book ‘Kipling’s Vision of India and the Problem of Split Consciousness’ signed by Nicoleta Aurelia Marcu (Medrea) elegantly captures the duality triggered by Kipling’s process of ...internalization of the two perspectives that defined him as an individual and as a writer, torn -or completed- by being part of the empire, and country of origin. Belonging to both these worlds, Kipling simultaneously identified himself as part of the two worlds, that shaped and framed his personality. The book before us maps the turmoil in confrontation and completion generated by Kipling’s dual quest for identity.
As a well‐studied executive bias, CEO overconfidence usually has negative connotations – although empirical evidence of its performance effects remains inconclusive. By theorizing on CEO ...overconfidence in a turnaround situation, we propose that CEO overconfidence can either help or hinder turnaround performance, depending on whether the overconfident CEO is the incumbent who steered the firm into dire straits, or a successor hired during decline. Our empirical findings suggest that overconfidence in an incumbent CEO damages turnaround performance; replacing overconfident incumbents improves turnaround performance and overconfident successors hired during decline enhance turnaround performance. Exploratory post‐hoc analyses further suggest that these effects are driven by the divergent ways in which overconfidence biases incumbent and successor CEOs’ assessment of organizational decline. Comprehensive implications for research and practice on CEO overconfidence are discussed.
(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) Abstract We investigate the superconformal index of four-dimensional superconformal field theories that arise on coincident ...M5 branes wrapping a holomorphic curve in a local Calabi-Yau three-fold. The structure of the index is very similar to that which appears in the special case preserving ... = 2 supersymmetry. We first compute the index for the fixed points that admit a known four-dimensional ultraviolet description and prove infrared equivalence at the level of the index for all such constructions. These results suggest a formulation of the index as a two-dimensional topological quantum field theory that generalizes the one that computes the ... = 2 index. The TQFT structure leads to an expression for the index of a much larger family of ... = 1 class S fixed points in terms of the index of the ... = 2 theories. Calculations of simple quantities with the index suggests a connection between these families of fixed points and the mathematics of SU(2) Yang-Mills theory on the wrapped curve.
For a finite dimensional representation V of a finite reflection group W, we consider the rational Cherednik algebra Ht,c(V,W) associated with (V,W) at the parameters t≠0 and c. The Dunkl total ...angular momentum algebra Ot,c(V,W) arises as the centraliser algebra of the Lie superalgebra osp(1|2) containing a Dunkl deformation of the Dirac operator, inside the tensor product of Ht,c(V,W) and the Clifford algebra generated by V.
We show that when dimV≥3 and for every value of the parameter c, the centre of Ot,c(V,W) is isomorphic to a univariate polynomial ring. Notably, the generator of the centre changes depending on whether or not (−1)V is an element of the group W. Using this description of the centre, and using the projection of the pseudo scalar from the Clifford algebra into Ot,c(V,W), we establish results analogous to “Vogan's conjecture” for a family of operators depending on suitable elements of the double cover W˜.
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