Conformal anomalies of higher spin fields
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Fecha
2017
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Idioma
es
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Universidad Andrés Bello
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Licencia CC
Licencia CC
Resumen
La anomalía de traza de un campo de Conformal Higher Spin en cuatro dimensiones
se calcula de forma holográfi ca. Obtenemos la anomalía de traza Tipo-A y Tipo-B para
toda la familia de CHS en 4D. Las bases invariantes de Weyl, donde el término de Euler
es tratado por la Q-curvatura parece más adecuado para los cálculos y también permite
para una receta holográfi ca simple y útil. Nuestros hallazgos holográfi cos concuerdan con
los resultados obtenidos por medio de heat kernel asumiendo la factorización del operador
cinético de derivadas altas de CHS en espacios de Einstein.
En esta tesis se pretenderá usar la correspondencia AdS=CFT [1] calculando la función
partición a one-loop en una métrica Poincaré-Einstein (AdS5) llevándola a un borde Einstein
reproduciendo las anomalías Tipo-A y Tipo-B comparándolas con las anomalías que obtuvo
A.A. Tseytlin [2] en una CFT en una esfera deformada S4
q , implica que el tensor de Weyl
es distinto de cero.
En el lado de holográficaa usaremos un campo de Fronsdal en AdS5 con acople de Lichnerowicz
a one-loop, con este acople al campo de Fronsdal vamos a calcular las anomalías las
Tipo-A y Tipo-B usando las receta holográfi ca [3] en el bulk evaluando en el borde.
The trace anomaly of four dimensional Conformal Higher Spin (CHS) elds is computed in a holographic way. We obtain the Type-A and Type-B trace anomaly for the whole family of 4D CHS. The basis of Weyl invariants where the Euler term is traded by the Q-curvature seems better suited for computational purposes and also allows for a simple and handy holographic recipe. Our holographic ndings agree with results obtained by mean of heat kernel and assuming factorization of the CHS higher derivative kinetic operator on Einstein spaces. In this thesis we will try to use the AdS=CFT correspondence [1] Calculating the partition function to one-loop in a Poincar e-Einstein metric (AdS5) Taking it to an Einstein boundary reproducing Type-A and Type-B anomalies comparing them with the anomalies that obtained A.A. Tseytlin [2] in a CFT for deformed sphere S4 q , implies that the Weyl tensor is di erent of zero. In the side of holography, we use a Fronsdal Field in AdS5 with Lichnerowicz coupling one-loop e ective action, with this coupling to the Fronsdal Field we are going to compute the Type-A and Type-B anomalies using the holography recipe [3] in the bulk evaluating in the boundary.
The trace anomaly of four dimensional Conformal Higher Spin (CHS) elds is computed in a holographic way. We obtain the Type-A and Type-B trace anomaly for the whole family of 4D CHS. The basis of Weyl invariants where the Euler term is traded by the Q-curvature seems better suited for computational purposes and also allows for a simple and handy holographic recipe. Our holographic ndings agree with results obtained by mean of heat kernel and assuming factorization of the CHS higher derivative kinetic operator on Einstein spaces. In this thesis we will try to use the AdS=CFT correspondence [1] Calculating the partition function to one-loop in a Poincar e-Einstein metric (AdS5) Taking it to an Einstein boundary reproducing Type-A and Type-B anomalies comparing them with the anomalies that obtained A.A. Tseytlin [2] in a CFT for deformed sphere S4 q , implies that the Weyl tensor is di erent of zero. In the side of holography, we use a Fronsdal Field in AdS5 with Lichnerowicz coupling one-loop e ective action, with this coupling to the Fronsdal Field we are going to compute the Type-A and Type-B anomalies using the holography recipe [3] in the bulk evaluating in the boundary.
Notas
Tesis (Magíster en Ciencias Físicas)
Palabras clave
Física Nuclear de Alto Spin