scholarly journals Fermions and Gravitational Anomaly in Lattice Gravity

1990 ◽  
Vol 84 (2) ◽  
pp. 331-350 ◽  
Author(s):  
M. Shimono
Keyword(s):  
Gravitational Anomaly ◽  
Lattice Gravity

scholarly journals The UV fate of anomalous U(1)s and the Swampland

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Nathaniel Craig ◽  
Isabel Garcia Garcia ◽  
Graham D. Kribs
Keyword(s):  
Quantum Gravity ◽  
Gauge Theories ◽  
Critical Size ◽  
Gauge Coupling ◽  
Low Energy ◽  
Gravitational Anomaly ◽  
Light Vector ◽  
Energy Theory ◽  
The Cost ◽  
Weak Gravity

Abstract Massive U(1) gauge theories featuring parametrically light vectors are suspected to belong in the Swampland of consistent EFTs that cannot be embedded into a theory of quantum gravity. We study four-dimensional, chiral U(1) gauge theories that appear anomalous over a range of energies up to the scale of anomaly-cancelling massive chiral fermions. We show that such theories must be UV-completed at a finite cutoff below which a radial mode must appear, and cannot be decoupled — a Stückelberg limit does not exist. When the infrared fermion spectrum contains a mixed U(1)-gravitational anomaly, this class of theories provides a toy model of a boundary into the Swampland, for sufficiently small values of the vector mass. In this context, we show that the limit of a parametrically light vector comes at the cost of a quantum gravity scale that lies parametrically below MP1, and our result provides field theoretic evidence for the existence of a Swampland of EFTs that is disconnected from the subset of theories compatible with a gravitational UV-completion. Moreover, when the low energy theory also contains a U(1)3 anomaly, the Weak Gravity Conjecture scale makes an appearance in the form of a quantum gravity cutoff for values of the gauge coupling above a certain critical size.

scholarly journals Gravitational anomaly and Hawking radiation near a weakly isolated horizon

2008 ◽  
Vol 77 (12) ◽  
Author(s):  
Xiaoning Wu ◽  
Chao-Guang Huang ◽  
Jia-Rui Sun
Keyword(s):  
Hawking Radiation ◽  
Gravitational Anomaly

scholarly journals Gravitational Anomaly and Transport Phenomena

2011 ◽  
Vol 107 (2) ◽  
Author(s):  
Karl Landsteiner ◽  
Eugenio Megías ◽  
Francisco Pena-Benitez
Keyword(s):  
Transport Phenomena ◽  
Gravitational Anomaly

Nonperturbative lattice gravity

1988 ◽  
Vol 4 ◽  
pp. 78-82 ◽  
Author(s):  
Sergio Caracciolo ◽  
Andrea Pelissetto
Keyword(s):  
Lattice Gravity

The Schwinger terms and the gravitational anomaly

1986 ◽  
Vol 167 (4) ◽  
pp. 411-416 ◽  
Author(s):  
Mitsuyoshi Tomiya
Keyword(s):  
Gravitational Anomaly

scholarly journals ON ELEVATING FREE-FERMION Z2×Z2 ORBIFOLDS MODELS TO COMPACTIFICATIONS OF F THEORY

2000 ◽  
Vol 15 (09) ◽  
pp. 1345-1362 ◽  
Author(s):  
P. BERGLUND ◽  
J. ELLIS ◽  
A. E. FARAGGI ◽  
D. V. NANOPOULOS ◽  
Z. QIU
Keyword(s):  
Singular Points ◽  
Free Fermion ◽  
Gravitational Anomaly ◽  
Elliptic Fibrations ◽  
Common Framework ◽  
The Common ◽  
Six Dimensions

We study the elliptic fibrations of some Calabi–Yau threefolds, including the Z2×Z2 orbifold with (h1,1,h2,1)=(27, 3), which is equivalent to the common framework of realistic free-fermion models, as well as related orbifold models with (h1,1,h2,1)=(51, 3) and (31, 7). However, two related puzzles arise when one considers the (h1,1,h2,1)=(27, 3) model as an F theory compactification to six dimensions. The condition for the vanishing of the gravitational anomaly is not satisfied, suggesting that the F theory compactification does not make sense, and the elliptic fibration is well defined everywhere except at four singular points in the base. We speculate on the possible existence of N=1 tensor and hypermultiplets at these points which would cancel the gravitational anomaly in this case.

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