Superconformal symmetry in linear sigma model on supermanifolds

2006/05/11 by Shigenori Seki, Katsuyuki Sugiyama, Tatsuya Tokunaga · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #Nonlinear system #Physics #Pure mathematics #Quantum mechanics #Sigma #Sigma model #Supermanifold #Symmetry (geometry) #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2006.07.013

published as Nucl.Phys.B753:295-312,2006 · 24 pages, 2 figures, typos corrected and refs. added

arxiv created 2006/05/11 · openalex publication_date 2006/08/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider a gauged linear sigma model in two dimensions with Grassmann odd chiral superfields. We investigate the Konishi anomaly of this model and find out the condition for realization of superconformal symmetry on the world-sheet. When this condition is satisfied, the theory is expected to flow into conformal theory in the infrared limit. We construct superconformal currents explicitly and study some properties of this world-sheet theory from the point of view of conformal field theories.

Citations

• Untwisting the twistor superstring
• String Theories on Flat Supermanifolds
• Matrix models and D-branes in twistor string theory
• Supertwistors and cubic string field theory for open N=2 strings
• Phases of N = 2 theories in two dimensions
• N=2 strings and the twistorial Calabi-Yau
• Perturbative Gauge Theory As A String Theory In Twistor Space
• Mirror Symmetry and Supermanifolds

Cited by

• N=2superconformal symmetry in super coset models
• Supersymmetric localization in GLSMs for supermanifolds