Supersymmetry/Supergravity

Wess, Julius

doi:10.1007/978-3-642-71760-4_2

Cited by 1,326 publications

(2,875 citation statements)

References 7 publications

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“…The non-compact KK theory is the consequence of well-known Campbell's theorem in which one cannot introduce any matter into five dimensional (5D) manifold by hand because matter appears in four dimensions induced by the 5D vacuum theory (Wesson 1984(Wesson , 1999Bellini 2003). However, original KK idea became the base of other extra dimensional theories in different aspects like string theory (Polchinski 1998), brane models (Clifford 2003) and super gravity (Wess and Bagger 1992). The version of HDE in extra dimension is known as modified holographic dark energy (MHDE) (Gong and Li 2010) which can be derived from mass of black hole in N + 1 dimensional spacetime (Myers 1987).…”

Section: Introductionmentioning

confidence: 98%

Interacting modified holographic dark energy in Kaluza-Klein universe

Sharif¹,

Jawad²

2011

Astrophys Space Sci

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The interaction of modified holographic dark energy and dark matter with varying G in flat Kaluza Klein universe is considered. Further, we take infrared cutoff scale L as future event horizon. In this scenario, equations of state parameter as well as evolution are explored. We also check the validity of the generalized second law of thermodynamics. It is interesting to mention here that our results show consistency with the present observations.

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Section: Introductionmentioning

confidence: 98%

Interacting modified holographic dark energy in Kaluza-Klein universe

Sharif¹,

Jawad²

2011

Astrophys Space Sci

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“…Non-commutativity may therefore appear as a result of 'breaking' the 'internal symmetry' represented by commutativity. As a physical analogy, this might be considered a kind of 'symmetry breaking' which is thought to be responsible for our expanding Universe and CPT violation, as well as other physical phenomena such as phase transitions and superconductivity (Weinberg 1995(Weinberg , 2000.…”

Section: A Hierarchical Formal Theory Of Levels Commutative and Nonmentioning

confidence: 99%

A Conceptual Construction of Complexity Levels Theory in Spacetime Categorical Ontology: Non-Abelian Algebraic Topology, Many-Valued Logics and Dynamic Systems

2007

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A novel conceptual framework is introduced for the Complexity Levels Theory in a Categorical Ontology of Space and Time. This conceptual and formal construction is intended for ontological studies of Emergent Biosystems, Supercomplex Dynamics, Evolution and Human Consciousness. A claim is defended concerning the universal representation of an item's essence in categorical terms. As an essential example, relational structures of living organisms are well represented by applying the important categorical concept of natural transformations to biomolecular reactions and relational structures that emerge from the latter in living systems. Thus, several relational theories of living systems can be represented by natural transformations of organismic, relational structures. The ascent of man and other living organisms through adaptation, is viewed in novel categorical terms, such as variable biogroupoid representations of evolving species. Such precise but flexible evolutionary concepts will allow the further development of the unifying theme of local-to-global approaches to highly complex systems in order to represent novel patterns of relations that emerge in super-and ultra-complex systems in terms of compositions of local procedures. Solutions to such local-to-global problems in highly complex systems with 'broken symmetry' might be possible to be reached with the help of higher homotopy theorems in algebraic topology such as the generalized van Kampen theorems (HHvKT). Categories of many-valued, Łukas-iewicz-Moisil (LM) logic algebras provide useful concepts for representing the intrinsic dynamic 'asymmetry' of genetic networks in organismic development and evolution, as well as to derive novel results for (non-commutative) Quantum Logics. Furthermore, as recently pointed out by Baianu and Poli (Theory and applications of ontology, vol 1. Springer, Berlin, in press), LM-logic algebras may also provide the appropriate framework for future developments of the ontological theory of levels with its complex/entangled/intertwined ramifications in psychology, sociology and ecology. As shown in the preceding two papers in this issue, a paradigm shift towards non-commutative, or non-Abelian, theories of highly complex dynamics-which is presently unfolding in physics, mathematics, life and cognitive sciences-may be implemented through realizations of higher dimensional algebras in neurosciences and psychology, as well as in human genomics, bioinformatics and interactomics.Keywords Categorical ontology and the theory of levels Á Formal foundation and relational structure of categorical ontology and emergent complexity theories Á Ontological essence and Universal properties of items Á Mathematical categories, Groupoids, Locally Lie groupoids, Groupoid Atlas, Stacks, Fibred categories Á Relational biology principles Á Higher homotopy-General Van Kampen Theorems (HHvKT) and Non-Abelian algebraic topology (NAAT) Á Non-commutativity of diagrams and non-Abelian theories-Non-Abelian categorical ontology Á Non-commutative topological...

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“…Among them some may prove to be of crucial importance in the formulation of a future and successful quantum gravity as for example the torsion (Hehl et al, 1976(Hehl et al, , 1978Neville, 1978;Nieh, 1980;Sezgin and van Nieuwenhuizen, 1980;Nieh and Rauch, 1981), conformal gauge symmetry (Weyl, 1918;Dirac, 1973;Utiyama, 1973Utiyama, , 1975Englert et al, 1976;Fradkin and Vilkovisky, 1978;Smolin, 1979) and supersymmetry (Freedman et al, 1976;van Nieuwenhuizen,1981;Kane, 2001;Wess and Bagger, 1992;Nilles, 1984;Zumino, 1984;Fayet and Ferrara, 1977;Fradkin and Tseytlin, 1985).…”

Section: Introductionmentioning

confidence: 99%