12722856
On integrable backgrounds self-dual under fermionic T-duality
We study the fermionic T-duality symmetry of integrable Green-Schwarz sigma-models on AdS backgrounds with Ramond-Ramond fluxes in various dimensions. We show that sigma-models based on supercosets of PSU supergroups, such as AdS2 × S 2 and AdS3 × S 3 are self-dual under fermionic T-duality, while supercosets of OSp super- groups such as non-critical AdS2 and AdS4 models, and the critical AdS4×CP 3 background are not. We present a general algebraic argument to when a supercoset is expected to have a fermionic T-duality symmetry, and when it will fail to have one.
11273448
Non-critical pure spinor superstrings
We construct non-critical pure spinor superstrings in two, four and six dimen- sions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the pure spinor space and the holomorphic top form on the pure spinor space is an essential ingredient of the mapping. A basic feature of the map is the requirement of doubling the superspace, which we analyze in detail. We study the structure of the non-critical pure spinor space, which is different from the ten-dimensional one, and its quantum anomalies. We compute the pure spinor lowest lying BRST cohomology and find an agreement with the RNS spec- tra. The analysis is generalized to curved backgrounds and we construct as an example the non-critical pure spinor type IIA superstring on AdS4 with RR 4-form flux.
53325188
Superstring perturbation theory
The state of superstring perturbation theory is reviewed with an emphasis on the state of the pure spinor superstring perturbation theory. We begin with a brief summary of the state of perturbation theory in the Ramond–Neveu–Schwarz and in the Green–Schwarz formulations of the superstring. Then we proceed to a quick review of the minimal and non-minimal pure spinor formulations of the superstring and discuss the multi-loop amplitude prescriptions in each of them. We end with a summary and open questions.
16388417
Gravitational F-terms of N=1 Supersymmetric Gauge Theories
We consider four-dimensional N=1 supersymmetric gauge theories in a supergravity background. We use generalized Konishi anomaly equations and R-symmetry anomaly to compute the exact perturbative and non-perturbative gravitational F-terms. We study two types of theories: The first model breaks supersymmetry dynamically, and the second is based on a $G_2$ gauge group. The results are compared with the corresponding vector models. We discuss the diagrammatic expansion of the $G_2$ theory.
117879081
Measurement of the $W$ Boson Mass with the D0 Detector Using the Electron $E_T$ Spectrum