scholarly journals NONCOMMUTATIVE MANIFOLDS FROM THE HIGGS SECTOR OF COINCIDENT D-BRANES

2005 ◽  
Vol 20 (11) ◽  
pp. 841-850 ◽  
Author(s):  
JOSÉ M. ISIDRO
Keyword(s):  
Lie Algebra ◽  
Gauge Group ◽  
Smooth Manifold ◽  
Group Living ◽  
Higgs Sector ◽  
Low Energy ◽  
Noncommutative Manifolds ◽  
Definition Of ◽  
Energy Physics

The Higgs sector of the low-energy physics of n coincident D-branes contains the necessary elements for constructing noncommutative manifolds. The coordinates orthogonal to the coincident branes, as well as their conjugate momenta, take values in the Lie algebra of the gauge group living inside the brane stack. In the limit when n→∞ (and in the absence of orientifolds), this is the unitary Lie algebra u(∞). Placing a smooth manifold [Formula: see text] orthogonally to the stack of coincident D-branes, one can construct a noncommutative C⋆-algebra that provides a natural definition of a noncommutative partner for the manifold [Formula: see text].

scholarly journals Pseudoinversion of degenerate metrics

2003 ◽  
Vol 2003 (55) ◽  
pp. 3479-3501 ◽  
Author(s):  
C. Atindogbe ◽  
J.-P. Ezin ◽  
Joël Tossa
Keyword(s):  
Differential Geometry ◽  
Large Class ◽  
Smooth Manifold ◽  
Differential Operators ◽  
Type Operator ◽  
Lorentzian Space ◽  
Lightlike Hypersurface ◽  
Definition Of ◽  
Lightlike Hypersurfaces ◽  
Theoretical Results

Let(M,g)be a smooth manifoldMendowed with a metricg. A large class of differential operators in differential geometry is intrinsically defined by means of the dual metricg∗on the dual bundleTM∗of 1-forms onM. If the metricgis (semi)-Riemannian, the metricg∗is just the inverse ofg. This paper studies the definition of the above-mentioned geometric differential operators in the case of manifolds endowed with degenerate metrics for whichg∗is not defined. We apply the theoretical results to Laplacian-type operator on a lightlike hypersurface to deduce a Takahashi-like theorem (Takahashi (1966)) for lightlike hypersurfaces in Lorentzian spaceℝ1n+2.

Effects beyond the -model in the low-energy physics of cuprates

2005 ◽  
Vol 359-361 ◽  
pp. 524-526
Author(s):  
S.-L. Drechsler ◽  
J. Málek ◽  
H. Eschrig ◽  
M. Knupfer ◽  
H. Rosner
Keyword(s):  
Low Energy ◽  
Energy Physics

On Broken Symmetry

2019 ◽  
Vol 4 (3) ◽  
Author(s):  
Vladimir Zelevinsky
Keyword(s):  
Point Of View ◽  
Low Energy ◽  
Broken Symmetry ◽  
Symmetry Problem ◽  
Energy Physics

From the practical position of a quantum theoretician working in low-energy physics, here is a more modest point of view on the symmetry problem, including its various manifestations and violations.

scholarly journals Weyl modules and Weyl functors for hyper-map algebras

2020 ◽  
pp. 2140007
Author(s):  
Angelo Bianchi ◽  
Samuel Chamberlin
Keyword(s):  
Lie Algebra ◽  
Finitely Generated ◽  
Weyl Modules ◽  
Simple Lie Algebra ◽  
Finite Dimensional ◽  
Universal Properties ◽  
Definition Of ◽  
Unitary Algebra

We investigate the representations of the hyperalgebras associated to the map algebras [Formula: see text], where [Formula: see text] is any finite-dimensional complex simple Lie algebra and [Formula: see text] is any associative commutative unitary algebra with a multiplicatively closed basis. We consider the natural definition of the local and global Weyl modules, and the Weyl functor for these algebras. Under certain conditions, we prove that these modules satisfy certain universal properties, and we also give conditions for the local or global Weyl modules to be finite-dimensional or finitely generated, respectively.

CONFINEMENT AND QUARK STRUCTURE OF LIGHT HADRONS

1989 ◽  
Vol 04 (08) ◽  
pp. 2031-2060 ◽  
Author(s):  
G. V. EFIMOV ◽  
M. A. IVANOV
Keyword(s):  
Weak Interactions ◽  
Point Of View ◽  
Low Energy ◽  
Unique Point ◽  
Quark Confinement ◽  
Quark Structure ◽  
Energy Physics ◽  
Confinement Model

We present a quark confinement model (QCM) for the description of the low energy physics of light hadrons (meson and baryons). The model is based on two hypotheses. First, the quark confinement is realized as averaging over some vacuum gluon fields which are believed to provide the confinement of any color objects. Second, hadrons are treated as collective colorless excitations of quark-gluon interactions. The description of strong, electromagnetic and weak interactions of mesons and baryons at the low energy is given from a unique point of view.

Liquid noble gases for dark matter searches: An updated survey

2015 ◽  
Vol 30 (26) ◽  
pp. 1530053 ◽  
Author(s):  
R. Bernabei ◽  
P. Belli ◽  
A. Incicchitti ◽  
F. Cappella ◽  
R. Cerulli
Keyword(s):  
Dark Matter ◽  
Noble Gases ◽  
Noble Gas ◽  
Low Energy ◽  
Gas Detectors ◽  
Double Phase ◽  
Methodological Comparison ◽  
Direct Dark Matter ◽  
Energy Physics

An updated technical and methodological comparison of liquid noble gas experiments is presented with particular attention to the low energy physics application of double-phase noble gas detectors in direct Dark Matter investigations.

scholarly journals Inflation scenario driven by a low energy physics inflaton

2017 ◽  
Vol 96 (10) ◽  
Author(s):  
J. G. Ferreira ◽  
C. A. de S. Pires ◽  
J. G. Rodrigues ◽  
P. S. Rodrigues da Silva
Keyword(s):  
Low Energy ◽  
Energy Physics ◽  
Inflation Scenario

Harish-Chandra Modules over ℤ

2019 ◽  
pp. 126-167
Author(s):  
Günter Harder
Keyword(s):  
Fixed Points ◽  
Lie Algebra ◽  
Lie Group ◽  
Maximal Torus ◽  
Reductive Group ◽  
Group Scheme ◽  
Finitely Generated ◽  
Cartan Involution ◽  
Split Maximal Torus ◽  
Definition Of

This chapter shows that certain classes of Harish-Chandra modules have in a natural way a structure over ℤ. The Lie group is replaced by a split reductive group scheme G/ℤ, its Lie algebra is denoted by 𝖌ℤ. On the group scheme G/ℤ there is a Cartan involution 𝚯 that acts by t ↦ t −1 on the split maximal torus. The fixed points of G/ℤ under 𝚯 is a flat group scheme 𝒦/ℤ. A Harish-Chandra module over ℤ is a ℤ-module 𝒱 that comes with an action of the Lie algebra 𝖌ℤ, an action of the group scheme 𝒦, and some compatibility conditions is required between these two actions. Finally, 𝒦-finiteness is also required, which is that 𝒱 is a union of finitely generated ℤ modules 𝒱I that are 𝒦-invariant. The definitions imitate the definition of a Harish-Chandra modules over ℝ or over ℂ.

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