TASI 2003 Lectures on Anomalies

Abstract

These lecture notes review the structure of anomalies and present some of their applications in field theory, string theory and M theory. They expand on material presented at the TASI 2003 summer school and the 2005 International Spring School on String Theory in Hangzhou, China.

59 pages, no figures

References in corpus (19)

• M Theory As A Matrix Model: A Conjecture
• The Holographic Weyl anomaly
• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• D-Branes And K-Theory
• Black Hole Entropy in M-Theory
• Born-Infeld particles and Dirichlet p-branes
• On Flux Quantization In M-Theory And The Effective Action
• I-Brane Inflow and Anomalous Couplings on D-Branes
• Eleven Dimensional Origin of String/String Duality: A One Loop Test
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Note on Discrete Gauge Anomalies
• Discrete Anomaly Matching
• Spectral Flow in Vortex Dynamics of 3He-B and Superconductors
• I-Brane Dynamics
• Zero Modes for the D=11 Membrane and Five-Brane
• Anomalies in field theories with extra dimensions
• Anomaly cancellation in M-theory: a critical review
• The Local Structure of Anomaly Inflow
• Fivebrane Gravitational Anomalies

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• The Weak Gravity Conjecture and Axion Strings
• Holographic Description of Gravitational Anomalies
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• Schwinger Model à la Very Special Relativity
• The Fate of Discrete 1-Form Symmetries in 6d
• Magneto-Transport in a Chiral Fluid from Kinetic Theory
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• Lectures on 4d N=1 dynamics and related topics
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• Anomaly-Free Supergravities in Six Dimensions
• Role of anomalous symmetry in 0-$\pi$ qubits
• Relativistic hydrodynamics with the parity anomaly
• A mathematical theory of D-string world-sheet instantons, I: Compactness of the stack of $Z$-semistable Fourier-Mukai transforms from a compact family of nodal curves to a projective Calabi-Yau 3-fold
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• A BPHZ convergence proof in Euclidean position space
• Adler-Bell-Jackiw anomaly in VSR electrodynamics
• Branes on $G$-manifolds
• d = 11 Supergravity on almost flat R^4 times a compact hyperbolic 7-manifold, and the dip and bump seen in ATLAS-CONF-2010-088
• Improvement of a provisional solution of the quantum-corrected field equations of d = 11 supergravity on flat R^4 times a compact hyperbolic 7-manifold, and modes that decay along the beam line outside the interaction region at the LHC
• Aspects of 4d supersymmetric dynamics and geometry