scholarly journals THE EFFECTS ON S, T AND U FROM HIGHER-DIMENSIONAL FERMION REPRESENTATIONS

2007 ◽  
Vol 22 (33) ◽  
pp. 2533-2538 ◽  
Author(s):  
HONG-HAO ZHANG ◽  
YUE CAO ◽  
QING WANG
Keyword(s):  
Gauge Group ◽  
Heavy Fermion ◽  
The Other ◽  
New Class ◽  
Fermion Masses ◽  
Higher Dimensional ◽  
Stringent Constraint ◽  
Explicit Expressions

Inspired by a new class of walking technicolor models recently proposed using higher-dimensional technifermions, we consider the oblique corrections from heavy nondegenerate fermions with two classes of higher-dimensional representations of the electroweak gauge group itself. One is chiral SM-like, and the other is vector-like. In both cases, we obtain explicit expressions for S, T, U in terms of the fermion masses. We find that to keep the T parameter ultraviolet-finite, there must be a stringent constraint on the mass nondegeneracy of a heavy fermion multiplet.

scholarly journals Holographic RG flows and Janus solutions from matter-coupled $$N=4$$ gauged supergravity

2021 ◽  
Vol 81 (6) ◽  
Author(s):  
Parinya Karndumri
Keyword(s):  
Gauge Group ◽  
The Other ◽  
Three Dimensions ◽  
New Class ◽  
Other Hand ◽  
Genuine Solution ◽  
Coupled Theory

AbstractWe study an $$SO(2)\times SO(2)\times SO(2)\times SO(2)$$ S O ( 2 ) × S O ( 2 ) × S O ( 2 ) × S O ( 2 ) truncation of four-dimensional $$N=4$$ N = 4 gauged supergravity coupled to six vector multiplets with $$SO(4)\times SO(4)$$ S O ( 4 ) × S O ( 4 ) gauge group and find a new class of holographic RG flows and supersymmetric Janus solutions. In this truncation, there is a unique $$N=4$$ N = 4 supersymmetric $$AdS_4$$ A d S 4 vacuum dual to an $$N=4$$ N = 4 SCFT in three dimensions. In the presence of the axion, the RG flows generally preserve $$N=2$$ N = 2 supersymmetry while the supersymmetry is enhanced to $$N=4$$ N = 4 for vanishing axion. We find solutions interpolating between the $$AdS_4$$ A d S 4 vacuum and singular geometries with different residual symmetries. We also show that all the singularities are physically acceptable within the framework of four-dimensional gauged supergravity. Accordingly, the solutions are holographically dual to RG flows from the $$N=4$$ N = 4 SCFT to a number of non-conformal phases in the IR. We also find $$N=4$$ N = 4 and $$N=2$$ N = 2 Janus solutions with $$SO(4)\times SO(4)$$ S O ( 4 ) × S O ( 4 ) and $$SO(2)\times SO(2)\times SO(3)\times SO(2)$$ S O ( 2 ) × S O ( 2 ) × S O ( 3 ) × S O ( 2 ) symmetries, respectively. The former is obtained from a truncation of all scalars from vector multiplets and can be regarded as a solution of pure $$N=4$$ N = 4 gauged supergravity. On the other hand, the latter is a genuine solution of the full matter-coupled theory. These solutions describe conformal interfaces in the $$N=4$$ N = 4 SCFT with $$N=(4,0)$$ N = ( 4 , 0 ) and $$N=(2,0)$$ N = ( 2 , 0 ) supersymmetries.

scholarly journals Electric-magnetic duality in twisted quantum double model of topological orders

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Yuting Hu ◽  
Yidun Wan
Keyword(s):  
Normal Subgroup ◽  
Gauge Group ◽  
The Other ◽  
Quantum Double ◽  
Duality Transformation ◽  
Abelian Normal Subgroup

Abstract We derive a partial electric-magnetic (PEM) duality transformation of the twisted quantum double (TQD) model TQD(G, α) — discrete Dijkgraaf-Witten model — with a finite gauge group G, which has an Abelian normal subgroup N , and a three-cocycle α ∈ H3(G, U(1)). Any equivalence between two TQD models, say, TQD(G, α) and TQD(G′, α′), can be realized as a PEM duality transformation, which exchanges the N-charges and N-fluxes only. Via the PEM duality, we construct an explicit isomorphism between the corresponding TQD algebras Dα(G) and Dα′(G′) and derive the map between the anyons of one model and those of the other.

scholarly journals LIGHT COMPOSITE HIGGS: LCH @ LHC

2005 ◽  
Vol 20 (27) ◽  
pp. 6133-6148 ◽  
Author(s):  
FRANCESCO SANNINO
Keyword(s):  
Gauge Group ◽  
Higgs Mass ◽  
Cold Dark Matter ◽  
Precision Measurements ◽  
Chiral Phase ◽  
Symmetric Representation ◽  
Composite Higgs ◽  
Higher Dimensional ◽  
The One ◽  
Intrinsic Scale

Here I summarize some of the salient features of technicolor theories with technifermions in higher dimensional representations of the technicolor gauge group. The expected phase diagram as function of number of flavors and colors for the two index (anti)symmetric representation of the gauge group is reviewed. After having constructed the simplest walking technicolor theory one can show that it is not at odds with the precision measurements. The simplest theory also requires, for consistency, a fourth family of heavy leptons. The latter may result in an interesting signature at LHC. In the case of a fourth family of leptons with ordinary lepton hypercharge the new heavy neutrino can be a natural candidate of cold dark matter. New theories will also be proposed in which the critical number of flavors needed to enter the conformal window is higher than in the one with fermions in the two-index symmetric representation, but lower than in the walking technicolor theories with fermions only in the fundamental representation of the gauge group. Due to the near conformal/chiral phase transition the composite Higgs is very light compared to the intrinsic scale of the technicolor theory. For the two technicolor theory the composite Higgs mass is predicted not to exceed 150 GeV.

scholarly journals META-STABLE BRANE CONFIGURATIONS WITH MULTIPLE NS5-BRANES

2009 ◽  
Vol 24 (27) ◽  
pp. 5051-5120
Author(s):  
CHANGHYUN AHN
Keyword(s):  
Gauge Theory ◽  
String Theory ◽  
Gauge Group ◽  
Gauge Theories ◽  
The Other ◽  
Multiple Product

Starting from an [Formula: see text] supersymmetric electric gauge theory with the multiple product gauge group and the bifundamentals, we apply Seiberg dual to each gauge group, obtain the [Formula: see text] supersymmetric dual magnetic gauge theories with dual matters including the gauge singlets. Then we describe the intersecting brane configurations, where there are NS-branes and D4-branes (and anti-D4-branes), of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of this gauge theory. We also discuss the case where the orientifold 4-planes are added into the above brane configuration. Next, by adding an orientifold 6-plane, we apply to an [Formula: see text] supersymmetric electric gauge theory with the multiple product gauge group (where a single symplectic or orthogonal gauge group is present) and the bifundamentals. Finally, we describe the other cases where the orientifold 6-plane intersects with NS-brane.

scholarly journals Relationship between Bondi–Sachs quantities and source of gravitational radiation in asymptotically de Sitter spacetime

2018 ◽  
Vol 27 (04) ◽  
pp. 1850046 ◽  
Author(s):  
Xiaokai He ◽  
Jiliang Jing ◽  
Zhoujian Cao
Keyword(s):  
Cosmological Constant ◽  
Gravitational Wave ◽  
Gravitational Radiation ◽  
The Other ◽  
Perturbation Approach ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Positive Cosmological Constant ◽  
Sitter Spacetime ◽  
Explicit Expressions

Gravitational radiation plays an important role in astrophysics. Based on the fact that our universe is expanding, the gravitational radiation when a positive cosmological constant is presented has been studied along with two different ways recently, one is the Bondi–Sachs (BS) framework in which the result is shown by BS quantities in the asymptotic null structure, the other is the perturbation approach in which the result is presented by the quadrupoles of source. Therefore, it is worth to interpret the quantities in asymptotic null structure in terms of the information of the source. In this paper, we investigate this problem and find the explicit expressions of BS quantities in terms of the quadrupoles of source in asymptotically de Sitter spacetime. We also estimate how far away the source is, the cosmological constant may affect the detection of the gravitational wave.

SYMMETRIES OF CERTAIN PHYSICAL THEORIES AND THE JORDAN ALGEBRAS

1992 ◽  
Vol 07 (15) ◽  
pp. 3623-3637 ◽  
Author(s):  
R. FOOT ◽  
G. C. JOSHI
Keyword(s):  
Jordan Algebra ◽  
Space Time ◽  
Jordan Algebras ◽  
Bosonic String ◽  
The Other ◽  
Structure Group ◽  
Division Algebras ◽  
Hermitian Matrices ◽  
Higher Dimensional ◽  
Algebraic Framework

It is shown that the sequence of Jordan algebras [Formula: see text], whose elements are the 3 × 3 Hermitian matrices over the division algebras ℝ, [Formula: see text], ℚ and [Formula: see text], can be associated with the bosonic string as well as the superstring. The construction reveals that the space–time symmetries of the first-quantized bosonic string and superstring actions can be related. The bosonic string and the superstring are associated with the exceptional Jordan algebra while the other Jordan algebras in the [Formula: see text] sequence can be related to parastring theories. We then proceed to further investigate a connection between the symmetries of supersymmetric Lagrangians and the transformations associated with the structure group of [Formula: see text]. The N = 1 on-shell supersymmetric Lagrangians in 3, 4 and 6-dimensions with a spin 0 field and a spin 1/2 field are incorporated within the Jordan-algebraic framework. We also make some remarks concerning a possible role for the division algebras in the construction of higher-dimensional extended objects.

scholarly journals Decoding glycan protein interactions by a new class of asymmetric N-glycans

2017 ◽  
Vol 15 (42) ◽  
pp. 8946-8951 ◽  
Author(s):  
Zhigang Wu ◽  
Yunpeng Liu ◽  
Lei Li ◽  
Xiu-Feng Wan ◽  
He Zhu ◽  
...  
Keyword(s):  
Protein Interactions ◽  
The Other ◽  
New Class

Asymmetric N-glycans were synthesized by using EndoM N175Q. Branch-biased binding and spacial inhibition caused by the bulky group on the other branch were observed in glycan protein interactions.

Explicit sufficient invariants for an interacting particle system

1998 ◽  
Vol 35 (3) ◽  
pp. 633-641 ◽  
Author(s):  
Yoshiaki Itoh ◽  
Colin Mallows ◽  
Larry Shepp
Keyword(s):  
Markov Chain ◽  
Finite Time ◽  
Interacting Particle Systems ◽  
Particle System ◽  
Particle Systems ◽  
The Other ◽  
New Class ◽  
Interacting Particle ◽  
Death State ◽  
Number Of Particles

We introduce a new class of interacting particle systems on a graph G. Suppose initially there are Ni(0) particles at each vertex i of G, and that the particles interact to form a Markov chain: at each instant two particles are chosen at random, and if these are at adjacent vertices of G, one particle jumps to the other particle's vertex, each with probability 1/2. The process N enters a death state after a finite time when all the particles are in some independent subset of the vertices of G, i.e. a set of vertices with no edges between any two of them. The problem is to find the distribution of the death state, ηi = Ni(∞), as a function of Ni(0).We are able to obtain, for some special graphs, the limiting distribution of Ni if the total number of particles N → ∞ in such a way that the fraction, Ni(0)/S = ξi, at each vertex is held fixed as N → ∞. In particular we can obtain the limit law for the graph S2, the two-leaf star which has three vertices and two edges.

scholarly journals A new class of higher-dimensional Kaluza-Klein monopole and instanton solutions

1985 ◽  
Vol 253 ◽  
pp. 162-172 ◽  
Author(s):  
F. Alexander Bais ◽  
Peter Batenburg
Keyword(s):  
New Class ◽  
Higher Dimensional ◽  
Kaluza Klein

Comparison of the Three Classes (Rare Earth, Refractory and Near-Noble) of Silicide Contacts

1981 ◽  
Vol 10 ◽  
Author(s):  
R. D. Thompson ◽  
K. N. Tu
Keyword(s):  
Rare Earth ◽  
Low Temperature ◽  
Tensile Stress ◽  
Noble Metals ◽  
Schottky Barrier Height ◽  
Rare Earth Metals ◽  
The Other ◽  
Severe Problem ◽  
New Class ◽  
Motion Study

It is well established that near-noble metals and refractory metals form two distinct classes of silicide contacts with silicon. Rare earth metals have been studied in the same manner and found to form a new class that is very distinct from the other two in terms of properties and characteristics. Some of these characteristics are the formation of a disilicide phase, as an apparently first and last phase, at a surprisingly low temperature (250–400°C). Marker motion study using implanted krypton and argon showed silicon to be the dominant diffusing species for ErSi2. The Schottky barrier height to n-Si is 0.40 ± 0.04 eV and to p-Si is 0.70 ± 0.04 eV for all six of the metals studied. The surface morphology after reaction indicates the formation of a tensile stress by the silicide reaction. Oxidation of the rare earth metals is a severe problem although a variety of passivation schemes have been shown to work.

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