CHERN–SIMONS THEORIES WITH SUPERSYMMETRIES IN THREE DIMENSIONS

1993 ◽  
Vol 08 (19) ◽  
pp. 3371-3421 ◽  
Author(s):  
HITOSHI NISHINO ◽  
S. JAMES GATES
Keyword(s):  
Three Dimensions ◽  
Gauge Fields ◽  
Prototype Model ◽  
Conformal Supergravity ◽  
Heterotic String Theory ◽  
Higher Dimensional ◽  
Jones Polynomials ◽  
Supersymmetric Theories ◽  
Relationship Of ◽  
Chern Simons

We study various Chern–Simons (CS) theories in three dimensions with extended super-symmetries. Starting with remarks on nonsupersymmetric cases, we give (i) N = 2 non-Abelian CS theories, (ii) N = 4 non-Abelian CS theory, (iii) conformal supergravity CS theories for general N ≥ 2 up to N = ∞, (iv) CS action in terms of composite gauge fields, based on the N = 1 supersymmetric SO (n + 1)/ SO (n) σ model, (v) relationship of CS theories with higher-dimensional supersymmetric theories, especially with ten-dimensional heterotic string theory, (vi) a prototype model yielding the N = 2 CS theories, (vii) N = 8M and N = 8M − 2 extended supersymmetric Abelian CS theories, and (viii) CS theories for graded Lie groups. Some remarks on anyon models and supersymmetric Jones polynomials are also given.

scholarly journals IWP SOLUTIONS FOR HETEROTIC STRING IN FIVE DIMENSIONS

1998 ◽  
Vol 13 (24) ◽  
pp. 1979-1986 ◽  
Author(s):  
ALFREDO HERRERA-AGUILAR ◽  
OLEG KECHKIN
Keyword(s):  
Stationary Solutions ◽  
Heterotic String ◽  
Three Dimensions ◽  
Gauge Fields ◽  
Energy Limit ◽  
Heterotic String Theory ◽  
Five Dimensions ◽  
Ernst Potential ◽  
The Matrix ◽  
Extremality Condition

We obtain extremal stationary solutions that generalize the Israel–Wilson–Perjés class for the low-energy limit of heterotic string theory with n≥ 3U(1) gauge fields toroidally compactified from five to three dimensions. A dyonic solution is obtained using the matrix Ernst potential (MEP) formulation and expressed in terms of a single real (3×3)-matrix harmonic function. By studying the asymptotic behavior of the field configurations, we define the physical charges of the field system. The extremality condition makes the charges saturate the Bogomol'nyi–Prasad–Sommmerfield (BPS) bound.

scholarly journals Emergent supersymmetry on the edges

2021 ◽  
Vol 11 (5) ◽  
Author(s):  
Jinbeom Bae ◽  
Sungjay Lee
Keyword(s):  
Three Dimensions ◽  
Filling Fraction ◽  
Wigner Transformation ◽  
Supersymmetric Theories ◽  
Chern Simons

The WZW models describe the dynamics of the edge modes of Chern-Simons theories in three dimensions. We explore the WZW models which can be mapped to supersymmetric theories via the generalized Jordan-Wigner transformation. Some of such models have supersymmetric Ramond vacua, but the others break the supersymmetry spontaneously. We also make a comment on recent proposals that the Read-Rezayi states at filling fraction \nu=1/2,~2/3ν=1/2,2/3 are able to support supersymmetry.

Emergence of gravity, fermion, gauge and Chern–Simons fields during formation of N-dimensional manifolds from joining point-like ones

2018 ◽  
Vol 15 (04) ◽  
pp. 1850061 ◽  
Author(s):  
Alireza Sepehri ◽  
Somayyeh Shoorvazi
Keyword(s):  
Gauge Fields ◽  
Dimensional Manifold ◽  
Energy Transmission ◽  
Extra Energy ◽  
Higher Dimensional ◽  
Chern Simons

In this paper, we will consider the birth and evolution of fields during formation of [Formula: see text]-dimensional manifolds from joining point-like ones. We will show that at the beginning, only there are point-like manifolds which some strings are attached to them. By joining these manifolds, 1-dimensional manifolds are appeared and gravity, fermion, and gauge fields are emerged. By coupling these manifolds, higher dimensional manifolds are produced and higher orders of fermion, gauge fields and gravity are emerged. By decaying [Formula: see text]-dimensional manifold, two child manifolds and a Chern–Simons one are born and anomaly is emerged. The Chern–Simons manifold connects two child manifolds and leads to the energy transmission from the bulk to manifolds and their expansion. We show that [Formula: see text]-gravity can be emerged during the formation of [Formula: see text]-dimensional manifold from point-like manifolds. This type of [Formula: see text]-gravity includes both type of fermionic and bosonic gravity. [Formula: see text]-fields and also [Formula: see text]-fields which are produced by fermionic strings produce extra energy and change the gravity.

scholarly journals Psychological contract breach and voluntary turnover among newcomers: the role of supervisor trustworthiness and negative affectivity

2021 ◽  
pp. 1-21
Author(s):  
Émilie Lapointe ◽  
Christian Vandenberghe
Keyword(s):  
Psychological Contract ◽  
Negative Affectivity ◽  
Voluntary Turnover ◽  
Three Dimensions ◽  
Psychological Contract Breach ◽  
Contract Breach ◽  
Indirect Relationship ◽  
Relationship Of ◽  
The Relationship

Abstract This article looks at the relationship between psychological contract breach and voluntary turnover among newcomers, using supervisor trustworthiness as a mediator and negative affectivity as a moderator. Relying on data from 243 newcomers, psychological contract breach was found to be negatively related to the three dimensions of supervisor trustworthiness, i.e., ability, benevolence, and integrity. Supervisor integrity further mediated a positive relationship between psychological contract breach and voluntary turnover measured 8 months later. Psychological contract breach interacted with negative affectivity such that it was less negatively related to dimensions of supervisor trustworthiness at high levels of negative affectivity. The indirect relationship of psychological contract breach to voluntary turnover as mediated by supervisor integrity was also weaker at high levels of negative affectivity. We discuss the implications of these findings for research and practice.

scholarly journals ON CANONICAL QUANTIZATION OF THE GAUGED WZW MODEL WITH PERMUTATION BRANES

2011 ◽  
Vol 26 (26) ◽  
pp. 4647-4660
Author(s):  
GOR SARKISSIAN
Keyword(s):  
Riemann Surface ◽  
Phase Space ◽  
Boundary Conditions ◽  
Canonical Quantization ◽  
Simons Theory ◽  
Gauge Fields ◽  
Time Line ◽  
Chern Simons ◽  
Special Case ◽  
Chern Simons Theory

In this paper we perform canonical quantization of the product of the gauged WZW models on a strip with boundary conditions specified by permutation branes. We show that the phase space of the N-fold product of the gauged WZW model G/H on a strip with boundary conditions given by permutation branes is symplectomorphic to the phase space of the double Chern–Simons theory on a sphere with N holes times the time-line with G and H gauge fields both coupled to two Wilson lines. For the special case of the topological coset G/G we arrive at the conclusion that the phase space of the N-fold product of the topological coset G/G on a strip with boundary conditions given by permutation branes is symplectomorphic to the phase space of Chern–Simons theory on a Riemann surface of the genus N-1 times the time-line with four Wilson lines.

MANIFOLD-SPLITTING REGULARIZATION, SELF-LINKING, TWISTING, WRITHING NUMBERS OF SPACE-TIME RIBBONS and POLYAKOV’S PROOF OF FERMI-BOSE TRANSMUTATIONS

1988 ◽  
Vol 03 (08) ◽  
pp. 1959-1979 ◽  
Author(s):  
CHIA-HSIUNG TZE
Keyword(s):  
Integral Formula ◽  
Space Time ◽  
Gauge Fields ◽  
Alternative Formulation ◽  
Complex Numbers ◽  
Closed Space ◽  
Feynman Path ◽  
Higher Dimensional ◽  
Linking Coefficient ◽  
In Memoriam

We present an alternative formulation of Polyakov’s regularization of Gauss’ integral formula for a single closed Feynman path. A key element in his proof of the D=3 fermi-bose transmutations induced by topological gauge fields, this regularization is linked here with the existence and properties of a nontrivial topological invariant for a closed space ribbon. This self-linking coefficient, an integer, is the sum of two differential characteristics of the ribbon, its twisting and writhing numbers. These invariants form the basis for a physical interpretation of our regularization. Their connection to Polyakov’s spinorization is discussed. We further generalize our construction to the self-linking, twisting and writhing of higher dimensional d=n (odd) submanifolds in D=(2n+1) space-time. Our comprehensive analysis intends to supplement Polyakov’s work as it identifies a natural path to its higher dimensional mathematical and physical generalizations. Combining the theorems of White on self-linking of manifolds and of Adams on nontrivial Hopf fibre bundles and the four composition-division algebras, we argue that besides Polyakov’s case where (d, D)=(1, 3) tied to complex numbers, the potentially interesting extensions are two chiral models with (d, D)=(3, 7) and (7, 15) uniquely linked to quaternions and octonions. In Memoriam Richard P. Feynman

scholarly journals Inflationary birefringence and baryogenesis

2016 ◽  
Vol 25 (11) ◽  
pp. 1640013 ◽  
Author(s):  
Stephon Alexander
Keyword(s):  
Gravitational Waves ◽  
Lepton Number ◽  
Gauge Fields ◽  
Lepton Asymmetry ◽  
Complex Phase ◽  
Inflaton Field ◽  
Model Based ◽  
Cross Correlations ◽  
Chern Simons

A decade ago, the first leptogenesis model based on inflation was proposed, where the complex phase of the inflaton field carries lepton number [S. H. S. Alexander, M. E. Peskin and M. M. Sheikh-Jabbari, Phys. Rev. Lett. 96 (2006) 081301, arXiv:hep-th/0403069 ]. If the inflaton field is an axion, it can couple to gravitational waves and gauge fields via Chern–Simons invariants. Due to these couplings, birefringent gravitational and gauge primordial perturbations are created during inflation to generate a lepton asymmetry, establishing a possible connection between nonvanishing TB-parity-violating polarization cross-correlations and leptogenesis. We also discuss the prospect for a subset of these models which can directly source circular (V-mode) polarization in the CMB.

scholarly journals Visualising higher-dimensional space-time and space-scale objects as projections to ℝ3

2017 ◽  
Vol 3 ◽  
pp. e123 ◽  
Author(s):  
Ken Arroyo Ohori ◽  
Hugo Ledoux ◽  
Jantien Stoter
Keyword(s):  
Dimensional Space ◽  
Space Time ◽  
Three Dimensions ◽  
Time And Space ◽  
3D Objects ◽  
Levels Of Detail ◽  
Higher Dimensional Space Time ◽  
Space Scale ◽  
Higher Dimensional ◽  
Dimensional Space Time

Objects of more than three dimensions can be used to model geographic phenomena that occur in space, time and scale. For instance, a single 4D object can be used to represent the changes in a 3D object’s shape across time or all its optimal representations at various levels of detail. In this paper, we look at how such higher-dimensional space-time and space-scale objects can be visualised as projections from ℝ4to ℝ3. We present three projections that we believe are particularly intuitive for this purpose: (i) a simple ‘long axis’ projection that puts 3D objects side by side; (ii) the well-known orthographic and perspective projections; and (iii) a projection to a 3-sphere (S3) followed by a stereographic projection to ℝ3, which results in an inwards-outwards fourth axis. Our focus is in using these projections from ℝ4to ℝ3, but they are formulated from ℝnto ℝn−1so as to be easily extensible and to incorporate other non-spatial characteristics. We present a prototype interactive visualiser that applies these projections from 4D to 3D in real-time using the programmable pipeline and compute shaders of the Metal graphics API.

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