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A construction of integrated vertex operator in the pure spinor sigma-model in AdS(5) x S-5
(Springer, 2013-11-14)
Vertex operators in string theory me in two varieties: integrated and unintegrated. Understanding both types is important for the calculation of the string theory amplitudes. The relation between them is a descent procedure ...
Higher spin fluctuations on spinless 4D BTZ black hole
(2019)
We construct linearized solutions to Vasiliev's four-dimensional higher spin gravity on warped AdS(3) x(xi)S(1) which is an Sp(2) x U(1) invariant non-rotating BTZ-like black hole with R-2 x T-2 topology. The background ...
Transitionally commutative bundles and characteristic classes
(Medellín - Ciencias - Doctorado en Ciencias - MatemáticasEscuela de matemáticasUniversidad Nacional de Colombia - Sede Medellín, 2020-06-01)
Let p : E ! M be a principal G-bundle, over a manifold M. Assume that we can nd an open cover of M together with trivializations over them in such a way that the corresponding transition functions commute with each other ...
Non-commutative differential calculus of some algebras of polynomial type having PBW bases
(Bogotá - Ciencias - Maestría en Ciencias - MatemáticasDepartamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-06-12)
In this work, we study the notion of differential calculus associated to an associative algebra, from its origin in manifolds geometry, to some generalizations in non commutative differential geometry. In particular, we ...
Estimación del cardinal del espectro maximal de un producto de cuerpos
(Universidad Pedagógica y Tecnológica de Colombia, 2018-07-04)
En este artículo presentamos propiedades generales de un producto de anillos conmutativos con unidad. Caracterizamos el espectro primo y maximal de una suma de anillos y probamos que el espectro de un producto de cuerpos ...
Algunas caracterizaciones y propiedades de pares de matrices conmutantes
(2010)
En este trabajo, se realiza un estudio de la dimensión del álgebra generada por dos matrices conmutantes mediante dos métodos diferentes; en el primero se usan herramientas del álgebra lineal y en el segundo se usan ...
N-Koszul algebras, Calabi-Yau algebras and skew PBW extensions
(2017-11-01)
Abstract. In the schematic approach to non-commutative algebraic geometry arises some important classes of non-commutative algebras like Koszul algebras, Artin-Schelter regular algebras, Calabi-Yau algebras, and closely ...