scholarly journals NEW PROGRESS IN STATIONARY D=N=4 SUPERGRAVITY

2001 ◽  
Vol 16 (34) ◽  
pp. 2221-2230 ◽  
Author(s):  
OLEG V. KECHKIN
Keyword(s):  
Total Charge ◽  
Maxwell Theory ◽  
Abelian Gauge ◽  
Charge Symmetry ◽  
Hidden Symmetries ◽  
Heterotic String Theory ◽  
Solution Generation ◽  
The Matrix ◽  
Symmetry Subgroup ◽  
Generation Procedure

A bosonic sector of the four-dimensional low-energy heterotic string theory with two Abelian gauge fields is considered in the stationary case. A new 4× 4 unitary null-curvature matrix representation of the theory is derived and the corresponding formulation based on the use of a new 2 × 2 Ernst type matrix complex potential is developed. The group of hidden symmetries is described and classified in the matrix-valued quasi general relativity form. A subgroup of charge symmetries is constructed and representation which transforms linearly under the action of this symmetry subgroup is established. Also the solution generation procedure based on the application of the total charge symmetry subgroup to the stationary Einstein–Maxwell theory is analyzed.

scholarly journals Magnetic deformation of super-Maxwell theory in supergravity

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Ignatios Antoniadis ◽  
Jean-Pierre Derendinger ◽  
Hongliang Jiang ◽  
Gabriele Tartaglino-Mazzucchelli
Keyword(s):  
Real Field ◽  
Necessary Condition ◽  
Tensor Calculus ◽  
Maxwell Theory ◽  
Abelian Gauge ◽  
Alternative Description ◽  
Minimal Supergravity ◽  
Global Supersymmetry ◽  
Nonlinear Deformations ◽  
Working Out

Abstract A necessary condition for partial breaking of $$ \mathcal{N} $$ N = 2 global supersymmetry is the presence of nonlinear deformations of the field transformations which cannot be generated by background values of auxiliary fields. This work studies the simplest of these deformations which already occurs in $$ \mathcal{N} $$ N = 1 global supersymmetry, and its coupling to supergravity. It can be viewed as an imaginary constant shift of the D-auxiliary real field of an abelian gauge multiplet. We show how this deformation describes the magnetic dual of a Fayet-Iliopoulos term, a result that remains valid in supergravity, using its new-minimal formulation. Local supersymmetry and the deformation induce a positive cosmological constant. Moreover, the deformed U(1) Maxwell theory coupled to supergravity describes upon elimination of the auxiliary fields the gauging of R-symmetry, realised by the Freedman model of 1976. To this end, we construct the chiral spinor multiplet in superconformal tensor calculus by working out explicitly its transformation rules and use it for an alternative description of the new-minimal supergravity coupled to a U(1) multiplet. We also discuss the deformed Maxwell theory in curved superspace.

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 Geometrical and topological foundations of theoretical physics: from gauge theories to string program

2004 ◽  
Vol 2004 (34) ◽  
pp. 1777-1836 ◽  
Author(s):  
Luciano Boi
Keyword(s):  
Gauge Theories ◽  
Theoretical Physics ◽  
Quantum Field ◽  
Topological Properties ◽  
Superstring Theory ◽  
Abelian Gauge ◽  
Hidden Symmetries ◽  
Fundamental Physics ◽  
Recent Developments

We study the role of geometrical and topological concepts in the recent developments of theoretical physics, notably in non-Abelian gauge theories and superstring theory, and further we show the great significance of these concepts for a deeper understanding of the dynamical laws of physics. This work aims to demonstrate that the global topological properties of the manifold's model of spacetime play a major role in quantum field theory and that, therefore, several physical quantum effects arise from the nonlocal metrical and topological structure of this manifold. We mathematically argue the need for building new structures of space with different topology. This means, in particular, that the “hidden” symmetries of fundamental physics can be related to the phenomenon of topological change of certain classes of (presumably) nonsmooth manifolds.

scholarly journals ISRAEL–WILSON–PERJÉS SOLUTIONS IN HETEROTIC STRING THEORY

1999 ◽  
Vol 14 (09) ◽  
pp. 1345-1356 ◽  
Author(s):  
ALFREDO HERRERA-AGUILAR ◽  
OLEG KECHKIN
Keyword(s):  
String Theory ◽  
Vector Fields ◽  
Equations Of Motion ◽  
Simple Algorithm ◽  
Heterotic String ◽  
Three Dimensions ◽  
Heterotic String Theory ◽  
The Matrix ◽  
Em Theory ◽  
Bosonic Part

We present a simple algorithm to obtain solutions that generalize the Israel–Wilson–Perjés class for the low energy limit of heterotic string theory toroidally compactified from D=d+3 to three dimensions. A remarkable map existing between the Einstein–Maxwell (EM) theory and the theory under consideration allows us to solve directly the equations of motion making use of the matrix Ernst potentials connected with the coset matrix of heterotic string theory.1 For the particular case d=1 (if we put n=6, the resulting theory can be considered as the bosonic part of the action of D=4, N=4 supergravity) we obtain explicitly a dyonic solution in terms of one real 2×2-matrix harmonic function and 2n real constants (n being the number of Abelian vector fields). By studying the asymptotic behavior of the field configurations we define the charges of the system. They satisfy the Bogomol'nyi–Prasad–Sommerfield (BPS) bound.

ABELIAN GAUGE THEORY IN TOPOLOGICALLY NON-TRIVIAL SPACE

1989 ◽  
Vol 04 (26) ◽  
pp. 2539-2547 ◽  
Author(s):  
AKIO HOSOYA ◽  
JIRO SODA
Keyword(s):  
Gauge Theory ◽  
Higher Dimensions ◽  
Antisymmetric Tensor ◽  
Wilson Loops ◽  
Tensor Fields ◽  
Maxwell Theory ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Global Modes

We quantize the (1+1)-dimensional Abelian gauge theory on cylinder to illustrate our idea how to extract global modes of topological origin. A new analysis is made for the (2+1)-dimensional Maxwell theory on T2(torus)×R(time). The dynamics is explicitly given for the Wilson loops around cycles of the torus with arbitrary moduli parameters. We also discuss an extension to antisymmetric tensor fields in higher dimensions.

A modified cut-set method for mechanical subassembly identification

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Anil Kumar Gulivindala ◽  
M.V.A. Raju Bahubalendruni ◽  
Anil Kumar Inkulu ◽  
S.S. Vara Prasad Varupala ◽  
SankaranarayanaSamy K.
Keyword(s):  
Product Information ◽  
Influencing Factor ◽  
Evaluation Criteria ◽  
Development Stage ◽  
Assembly Sequence Planning ◽  
Improved Method ◽  
Content Type ◽  
Solution Generation ◽  
The Matrix ◽  
Cut Set

Purpose The purpose of this paper is to perform a comparative assessment on working of the existed subassembly identification (SI) methods, which are widely practiced during the product development stage and to propose an improved method for solving the SI problem in assembly sequence planning (ASP). Design/methodology/approach The cut-set method is found as a suitable method among various knowledge-based methods such as the theory of loops, theory of connectors and theory of clusters for the workability enhancement to meet the current requirements. Necessary product information is represented in the matrix format by replacing the traditional AND/OR graphs and the advanced predicates are included in the evaluation criteria. Findings The prominent methods in SI are followed a few of the predicates to avoid complexity in solution generation. The predicate consideration is found as the most influencing factor in eliminating the infeasible part combinations at SI. However, the quality of identified subassemblies without advanced predicates is not influencing the solution generation phase but practical applicability is affecting adversely. Originality/value The capability of performing SI by the cut-set method is improved to deal with the complex assembly configurations. The improved method is tested by applying on different assembly configurations and the effectiveness is compared with other existent methods of ASP along with the conventional method.

scholarly journals Protein primary structure correlates with calcium oxalate stone matrix preference

PLoS ONE ◽  
2021 ◽  
Vol 16 (9) ◽  
pp. e0257515
Author(s):  
Yu Tian ◽  
Matthew Tirrell ◽  
Carley Davis ◽  
Jeffrey A. Wesson
Keyword(s):  
Calcium Oxalate ◽  
Stone Formation ◽  
Protein Aggregates ◽  
Crystal Formation ◽  
Total Charge ◽  
Urine Ph ◽  
Protein Mixture ◽  
Isoelectric Points ◽  
The Matrix ◽  
Stone Matrix

Despite the apparent importance of matrix proteins in calcium oxalate kidney stone formation, the complexity of the protein mixture continues to elude explanation. Based on a series of experiments, we have proposed a model where protein aggregates formed from a mixture containing both strongly charged polyanions and strongly charged polycations could initiate calcium oxalate crystal formation and crystal aggregation to create a stone. These protein aggregates also preferentially adsorb many weakly charged proteins from the urine to create a complex protein mixture that mimics the protein distributions observed in patient samples. To verify essential details of this model and identify an explanation for phase selectivity observed in weakly charged proteins, we have examined primary structures of major proteins preferring either the matrix phase or the urine phase for their contents of aspartate, glutamate, lysine and arginine; amino acids that would represent fixed charges at normal urine pH of 6–7. We verified enrichment in stone matrix of proteins with a large number of charged residues exhibiting extreme isoelectric points, both low (pI<5) and high (pI>9). We found that the many proteins with intermediate isoelectric points exhibiting preference for stone matrix contained a smaller number of charge residues, though still more total charges than the intermediate isoelectric point proteins preferring the urine phase. While other sources of charge have yet to be considered, protein preference for stone matrix appears to correlate with high total charge content.

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