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We show that a choice of Pauli-Villars regulators allows the cancellation of all conformal and chiral anomalies in an effective field theory from Z_3 compactification of the heterotic string with two Wilson lines and an anomalous U(1).

High Energy Physics - Theory · Physics 2019-10-09 Mary K. Gaillard , Jacob Leedom

On-shell Pauli-Villars regularization of the one-loop divergences of supergravity theories is used to study the anomaly structure of supergravity and the cancellation of field theory anomalies under a $U(1)$ gauge transformation and under…

High Energy Physics - Theory · Physics 2015-06-23 Daniel Butter , Mary K. Gaillard

We display the full anomaly structure of supergravity, including new D-term contributions to the conformal anomaly. This expression has the super-Weyl and chiral U(1)_K transformation properties that are required for implementation of the…

High Energy Physics - Theory · Physics 2009-09-28 Daniel Butter , Mary K. Gaillard

In models of oriented closed strings, anomaly cancellations are deeply linked to the {\it modular invariance} of the torus amplitude. If open and/or unoriented strings are allowed, there are no non-trivial modular transformations in the…

High Energy Physics - Theory · Physics 2007-05-23 Augusto Sagnotti

This thesis reviews minimal N=2 chiral supergravities coupled to matter in six dimensions with emphasis on anomaly cancellation. In general, six-dimensional chiral supergravities suffer from gravitational, gauge and mixed anomalies which…

High Energy Physics - Theory · Physics 2007-05-23 Spyros D. Avramis

A procedure for Pauli-Villars regularization of locally and globally supersymmetric theories is described. Implications for specific theories, especially those obtained from superstrings, are discussed with emphasis on the role of field…

High Energy Physics - Theory · Physics 2007-05-23 Mary K. Gaillard

When M-theory is compactified on G_2-holonomy manifolds with conical singularities, charged chiral fermions are present and the low-energy four-dimensional theory is potentially anomalous. We reconsider the issue of anomaly cancellation,…

High Energy Physics - Theory · Physics 2010-04-05 Adel Bilal , Steffen Metzger

Abelian anomaly is examined by means of the recently proposed gauge invariant regularization for SO(10) chiral gauge theory and its generalization for a theory of arbitrary gauge group with anomaly-free chiral fermion contents. For both…

High Energy Physics - Theory · Physics 2009-10-22 S. Aoki , Y. Kikukawa

We present a simple derivation of the Callan-Harvey-Naculich effect, {\it i.e.} the compensation of charge violation on axion strings due to gauge anomalies by accretion of charge onto the string from the surrounding space. We then show, in…

High Energy Physics - Theory · Physics 2010-01-07 J. M. Izquierdo , P. K. Townsend

We describe the coupling of holomorphic Chern-Simons theory at large N with Kodaira-Spencer gravity. We explain a new anomaly cancellation mechanism at all loops in perturbation theory for open-closed topological B-model. At one loop this…

High Energy Physics - Theory · Physics 2020-01-07 Kevin Costello , Si Li

In theories with chiral couplings, one of the important consistency requirements is that of the cancellation of a gauge anomaly. In particular, this is one of the conditions imposed on the hypercharges in the Standard Model. However,…

High Energy Physics - Theory · Physics 2009-11-11 Alexey Boyarsky , Oleg Ruchayskiy , Mikhail Shaposhnikov

We present a systematic study of the constraints coming from target-space duality and the associated duality anomaly cancellations on orbifold-like 4-D strings. A prominent role is played by the modular weights of the massless fields. We…

High Energy Physics - Theory · Physics 2009-10-07 Luis E. Ibanez , Dieter Luest

We construct new two dimensional unoriented superstring theories in two dimensions with a chiral closed string spectrum and show that anomalies cancel upon supplying the appropriate chiral open string degrees of freedom imposed by tadpole…

High Energy Physics - Theory · Physics 2009-11-11 Jaume Gomis

We apply the path-integral formalism to compute the anomalies in general orbifold gauge theories (including possible non-trivial Scherk-Schwarz boundary conditions) where a gauge group G is broken down to subgroups H_f at the fixed points…

High Energy Physics - Theory · Physics 2009-11-10 Gero von Gersdorff , Mariano Quiros

I discuss the role of quantum effects in the phenomenology of effective supergravity theories from compactification of the weakly coupled heterotic string. An accurate incorporation of these effects requires a regularization procedure that…

High Energy Physics - Theory · Physics 2016-12-21 Mary K Gaillard

Compactification of the heterotic string on toroidal orbifolds is a promising set-up for the construction of realistic unified models of particle physics. The target space dynamics of such models, however, drives them slightly away from the…

High Energy Physics - Theory · Physics 2011-11-28 Michael Blaszczyk , Nana Geraldine Cabo Bizet , Hans Peter Nilles , Fabian Ruehle

The on-shell regularization of the one-loop divergences of supergravity theories is generalized to include a dilaton of the type occurring in effective field theories derived from superstring theory, and the superfield structure of the…

High Energy Physics - Theory · Physics 2014-11-18 Mary K. Gaillard

Anomalies are a very powerful tool in constraining theories beyond the standard model. We give a pedagogical overview of some topics illustrating the important role played by spacetime anomalies in string theory. After discussing the…

High Energy Physics - Theory · Physics 2024-02-05 Luis Alvarez-Gaume , Miguel A. Vazquez-Mozo

It has been shown that the Alvarez-Gaum$\mathrm{\acute{e}}$-Witten miraculous anomaly cancellation formula in type IIB superstring theory and its various generalizations can be derived from modularity of certain characteristic forms. In…

Differential Geometry · Mathematics 2012-05-04 Fei Han , Kefeng Liu , Weiping Zhang

We consider six-dimensional supergravity compactified on orbifolds with Wilson lines and bulk flux. Torus Wilson lines are decomposed into Wilson lines around the orbifold fixed points, and twisted boundary conditions of matter fields are…

High Energy Physics - Theory · Physics 2015-12-02 Wilfried Buchmuller , Markus Dierigl , Fabian Ruehle , Julian Schweizer
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