Geometry and String Theory
HomePage (Rev #54)

This is the homepage for the UT Geometry and String Theory Seminar. At the organizational meeting we will choose some topics for the semester. Some suggestions with references are below. Please also come with your own suggestions.

Fall 2010 Schedule

References

Gaiotto Duality

• D. Gaiotto, $N=2$ Dualities
• Chacaltana and Distler, Tinkertoys for Gaiotto Duality

Super Yang-Mills Amplitudes

• Arkani-Hamed, Bourjaily, Cachazo, Caron-Huot and Trnka, The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• A. Hodges, Eliminating spurious poles from gauge-theoretic amplitudes
• Arkani-Hamed, Bourjaily, Cachazo and Trnka, Unification of Residues and Grassmannian Dualities
• Goncharov, Spradlin, Vergu and Volovich, Classical Polylogarithms for Amplitudes and Wilson Loops
• Wolf, Martin, A First Course on Twistors, Integrability and Gluon Scattering Amplitudes

Pestun Localization in 4 and 3 dimensions

• V. Pestun, Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Kapustin, Willett and Yaakov, Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Kapustin, Willett and Yaakov, Nonperturbative Tests of Three-Dimensional Dualities

TBA, CFT, Y-system, dilog identities, Hirota Equations

• Al. B. Zamolodchikov, [Thermodynamic Bethe ansatz in relativistic models. Scaling three state Potts and Lee-Yang models], Nucl.Phys.B342:695-720, 1990.
• Al. B. Zamolodchikov, [On the thermodynamic Bethe ansatz equations for reflectionless ADE scattering theories], Phys.Lett.B253:391-394, 1991.
• F. Gliozzi and R. Tateo, ADE functional dilogarithm identities and integrable models
• E. Frenkel and A. Szenes, Thermodynamic Bethe Ansatz and Dilogarithm Identities I
• B. Keller, The periodicity conjecture for pairs of Dynkin diagrams
• W. Nahm, Conformal field theory and torsion elements of the Bloch group
• D. Zagier, The dilogarithm function (version 2)
• I. Krichever, O.Lipan, P.Wiegmann, A. Zabrodin, Quantum Integrable Systems and Elliptic Solutions of Classical Discrete Nonlinear Equations
• A. Zabrodin, Discrete Hirota’s equation in quantum integrable models

2-dimensional topological field theory

• Quantum Fields and Strings: A Course for Mathematicians (Deligne et al.)
• Mirror Symmetry (Vafa et al.)
• Frobenius manifolds, quantum cohomology, and moduli spaces (Manin)
• D. Guzzetti, Stokes Matrices and Monodromy of the Quantum Cohomology of Projective Spaces
• K. Costello, Topological conformal field theories and Calabi-Yau categories

Renormalization of Yang-Mills

• K. Costello, Renormalization and Effective Field Theory

Volume conjecture for hyperbolic 3-manifolds

• H. Murakami, An Introduction to the Volume Conjecture
• S. Gukov, Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial