Geometry and String Theory
HomePage (Rev #127)

This is the homepage for the UT Geometry and String Theory Seminar. At the organizational meeting we will flesh out the details of our plans for the semester. Below are some suggestions to get us started.

Fall 2015 Schedule

References

Conformal Field Theory Generalities

• Chapters 1-4 of di Francesco, Mathieu and Senechal, “Conformal Field Theory”
• Rychkov, “EPFL Lectures on Conformal Field Theory in $D\geq3$ Dimensions”

Unitary Representations of the (super)Conformal Algebra

• Mack, “All Unitary Ray Representations of the Conformal Group SU(2,2) with Positive Energy,” Com. Math. Phys. 55, 1 (1977).
• Minwalla, “Restrictions imposed by superconformal invariance on quantum field theories”
• Dolan and Osborn, “On short and semi-short representations for four-dimensional superconformal symmetry”

Crossing Symmetry and Conformal Blocks

• Osborn and Petkou, “Implications of conformal invariance in field theories for general dimensions”
• Dolan and Osborn, “Conformal four point functions and the operator product expansion”
• Dolan and Osborn, “Conformal partial waves and the operator product expansion”
• Dolan and Osborn, “Conformal Partial Waves: Further Mathematical Results”

The (super)Conformal Bootstrap

• Rattazzi, Rychkov, Tonni and Vichi, “Bounding scalar operator dimensions in 4D CFT”
• Beem, Lemos, Rastelli, van Rees, “The (2,0) superconformal bootstrap”

The Superconformal Index

• Kinney, Maldacena, Minwalla and Raju, “An Index for 4 dimensional super conformal theories”
• Rastelli and Razamat,“The superconformal index of theories of class $\mathcal{S}$”

Uniqueness of the 6D (2,0) Theories, the a-Theorem and Anomalies

• Cordova, Dumitrescu and Intriligator, “Anomalies, Renormalization Group Flows, and the a-Theorem in Six-Dimensional (1,0) Theories”

$(1,0)$ SCFTs in 6 Dimensions

• J. Heckman, D. Morrison, C. Vafa, On the Classification of 6D SCFTs and Generalized ADE Orbifolds
• M. Del Zotto, J. Heckman, A. Tomasiello, C. Vafa, 6d Conformal Matter