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07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Exact two-dimensional superconformal R symmetry and c extremization.
Francesco Benini1, Nikolay Bobev
1Simons Center for Geometry and Physics, Stony Brook University, Stony Brook, New York 11794-3636, USA.
Physical Review Letters
|February 26, 2013
Summary
We discovered c-extremization, a principle that precisely defines R symmetry in 2D unitary superconformal field theories with N=(0,2) supersymmetry. This method aids in constructing gravity duals for specific superconformal theories.
Area of Science:
- Theoretical Physics
- Quantum Field Theory
- String Theory
Background:
- Superconformal field theories (SCFTs) are crucial in understanding quantum field theories and string theory.
- Determining the R symmetry of SCFTs is essential for their classification and analysis.
- Two-dimensional (2D) SCFTs with N=(0,2) supersymmetry present unique challenges in theoretical physics.
Purpose of the Study:
- To introduce and establish the principle of c-extremization.
- To demonstrate how c-extremization determines the exact R symmetry of 2D unitary SCFTs with N=(0,2) supersymmetry.
- To explore the utility of c-extremization in constructing gravity duals.
Main Methods:
- Developing the general principle of c-extremization.
- Applying c-extremization to 2D unitary SCFTs with N=(0,2) supersymmetry.
- Studying superconformal theories from twisted compactifications of 4D N=4 super-Yang-Mills theory on Riemann surfaces.
- Constructing gravity duals for these theories.
Main Results:
- A general principle, c-extremization, is uncovered.
- C-extremization precisely determines the R symmetry of 2D unitary N=(0,2) SCFTs.
- The study successfully applies c-extremization to specific SCFTs derived from compactifications.
- Gravity duals for these theories are constructed.
Conclusions:
- C-extremization provides a powerful tool for analyzing 2D superconformal field theories.
- The principle offers a method for determining R symmetry, a key characteristic of these theories.
- The findings facilitate the construction of gravity duals, bridging gauge theories and gravity.
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