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Related papers: Quantum Geometries of $A_{2}$

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Quantum algebras (also called quantum groups) are deformed versions of the usual Lie algebras, to which they reduce when the deformation parameter q is set equal to unity. From the mathematical point of view they are Hopf algebras. Their…

Quantum Physics · Physics 2007-05-23 D. Bonatsos , N. Karoussos , P. P. Raychev , R. P. Roussev

We present supersymmetric solutions for the theory of gauged supergravity in five dimensions obtained by gauging the shift symmetry of the axion of the universal hypermultiplet. This gauged theory can also be obtained by dimensionally…

High Energy Physics - Theory · Physics 2009-11-07 Michael Gutperle , Wafic A. Sabra

Over the past five years, there has been significant progress on the problem of quantization of diffeomorphism covariant field theories with {\it local} degrees of freedom. The absence of a background space-time metric in these theories…

High Energy Physics - Theory · Physics 2007-05-23 Abhay Ashtekar , Jerzy Lewandowski

Quadratic algebras are generalizations of Lie algebras; they include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases. The superintegrable systems are exactly solvable physical systems in classical…

Mathematical Physics · Physics 2014-01-07 Ernest G. Kalnins , Willard Miller

We study quantum corrections to hypersurfaces of dimension $d+1>2$ embedded in generic higher-dimensional spacetimes. Manifest covariance is maintained throughout the analysis and our methods are valid for arbitrary co-dimension and…

High Energy Physics - Theory · Physics 2021-02-16 Garrett Goon , Scott Melville , Johannes Noller

We reconstruct the quantum enveloping superalgebra ${\bf U}(\mathfrak{gl}_{m|n})$ over $\mathbb Q(v)$ via (finite dimensional) quantum Schur superalgebras. In particular, we obtain a new basis containing the standard generators of ${\bf…

Quantum Algebra · Mathematics 2013-05-08 Jie Du , Haixia Gu

N-particle quantum mechanics described by a sigma model with an N-dimensional target space with torsion is considered. It is shown that an SL(2,R) conformal symmetry exists if and only if the geometry admits a homothetic Killing vector…

High Energy Physics - Theory · Physics 2009-09-17 Jeremy Michelson , Andrew Strominger

One can geometrically engineer supersymmetric field theories theories by placing D-branes at or near singularities. The opposite process is described, where one can reconstruct the singularities from quiver theories. The description is in…

High Energy Physics - Theory · Physics 2009-11-07 David Berenstein

A large class of new 4-D superstring vacua with non-trivial/singular geometries, spacetime supersymmetry and other background fields (axion, dilaton) are found. Killing symmetries are generic and are associated with non-trivial dilaton and…

High Energy Physics - Theory · Physics 2009-10-07 E. Kiritsis , C. Kounnas , D. Lust

A class of conformally flat and asymptotically anti-de Sitter geometries involving profiles of scalar fields is studied from the point of view of gauged supergravity. The scalars involved in the solutions parameterise the SL(N,R)/SO(N)…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , S. S. Gubser , H. Lu , C. N. Pope

In type IIB string theory, we consider fractional D3-branes in the orbifold background dual to four-dimensional N=2 supersymmetric Yang-Mills theory. We find the gravitational dual description of the generation of a non-trivial field theory…

High Energy Physics - Theory · Physics 2008-11-26 Paolo Merlatti

We study large N dualities for a general class of N=1 theories realized on type IIB D5 branes wrapping 2-cycles of local Calabi-Yau threefolds or as effective field theories on D4 branes in type IIA brane configurations. We completely solve…

High Energy Physics - Theory · Physics 2007-05-23 Kyungho Oh , Radu Tatar

We study four dimensional N=2 G_2 supersymmetric gauge theory on R^3\times S^1 deformed by a tree level superpotential. We will show that the exact superpotential can be obtained by making use of the Lax matrix of the corresponding…

High Energy Physics - Theory · Physics 2010-12-03 Mohsen Alishahiha , Jan de Boer , Amir E. Mosaffa , Jeroen Wijnhout

The disk partition function of certain 3d N=2 supersymmetric gauge theories computes a quantum K-theoretic ring for Kahler manifolds X. We study the 3d gauge theory/quantum K-theory correspondence for global and local Calabi-Yau manifolds…

High Energy Physics - Theory · Physics 2020-01-08 Hans Jockers , Peter Mayr

Gravitational corrections in N=1 and N=2 supersymmetric gauge theories are obtained from topological string amplitudes. We show how they are recovered in matrix model computations. This provides a test of the proposal by Dijkgraaf and Vafa…

High Energy Physics - Theory · Physics 2010-04-06 Albrecht Klemm , Marcos Marino , Stefan Theisen

We consider N=1 dualities in four dimensional supersymmetric gauge theories as a geometrical realization of wrapping D 6-branes around 3-cycles of Calabi-Yau threefolds in type IIA string theory. By extending the recent work of Ooguri and…

High Energy Physics - Theory · Physics 2016-09-06 Changhyun Ahn , Kyungho Oh

The new approach to quantum mechanical problems is proposed. Quantum states are represented in an algebraic program, by lists of variable length, while operators are well defined functions on these lists. Complete numerical solution of a…

High Energy Physics - Theory · Physics 2007-05-23 J. Wosiek

The B-model approach of topological string theory leads to difference equations by quantizing algebraic mirror curves. It is known that these quantum mechanical systems are solved by the refined topological strings. Recently, it was pointed…

High Energy Physics - Theory · Physics 2017-04-12 Yasuyuki Hatsuda , Yuji Sugimoto , Zhaojie Xu

We describe quantum theories for massless (p,q)-forms living on Kaehler spaces. In particular we consider four different types of quantum theories: two types involve gauge symmetries and two types are simpler theories without gauge…

High Energy Physics - Theory · Physics 2015-06-04 Fiorenzo Bastianelli , Roberto Bonezzi , Carlo Iazeolla

We present a geometric formulation of type-IIA and -IIB superstring theories in which the Wess-Zumino term is second order in the supersymmetric currents. The currents are constructed using supergroup manifolds corresponding to…

High Energy Physics - Theory · Physics 2011-04-05 M. Sakaguchi
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