Superconformal Field Theories for Compact G2 Manifolds
Ralph Blumenhagen, Volker Braun
Abstract
We present the construction of exactly solvable superconformal field theories describing Type II string models compactified on compact G2 manifolds. These models are defined by anti-holomorphic quotients of the form (CY*S1)/Z2, where we realize the Calabi-Yau as a Gepner model. In the superconformal field theory the Z2 acts as charge conjugation implying that the representation theory of a W(2,4,6,8,10) algebra plays an important role in the construction of these models. Intriguingly, in all three examples we study, including the quintic, the massless spectrum in the Z2 twisted sector of the superconformal field theory differs from what one expects from the supergravity computation. This discrepancy is explained by the presence of a discrete NS-NS background two-form flux in the Gepner model.
Create a lesson
Related papers
Conformal field theory from automorphic forms on a quantum group
Dalimil Mazac
Anomaly effective actions for 4d N=1 superconformal field theories
Pantelis Panopoulos, Ioannis Papadimitriou
Exact Splitting of Amplitudes and One-Loop Integrands: A Classical Origin of Zeros
Yang Li, Laurentiu Rodina, Zhi-Zhen Wang
5-brane webs and generalised symmetries
Mohammad Akhond, Federico Carta, Sung-Soo Kim et al.
Form Factors in AdS from the Worldsheet
Luis F. Alday, Clément Virally, Xinan Zhou
Higher Integrability, Generalized Symmetries, and Partially Topological Field Theories
Luigi Alfonsi, Leron Borsten, Mehran Jalali Farahani et al.