Constraints on Symmetries from Holography
Daniel Harlow1, Hirosi Ooguri2,3
1Center for Theoretical Physics Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Physical Review Letters
|May 31, 2019
Summary
Old conjectures about quantum gravity symmetries are confirmed within the anti-de Sitter/conformal field theory correspondence. This nonperturbative consistency implies no global symmetries and compact internal gauge groups.
Area of Science:
- Theoretical Physics
- Quantum Gravity
- String Theory
Background:
- The study addresses long-standing conjectures regarding symmetries in quantum gravity.
- These conjectures have remained unproven due to their complexity from a bulk perspective.
Purpose of the Study:
- To demonstrate the validity of specific conjectures about symmetries within the anti-de Sitter/conformal field theory (AdS/CFT) correspondence.
- To explore the implications of nonperturbative consistency on symmetry properties.
Main Methods:
- The research leverages the framework of the anti-de Sitter/conformal field theory correspondence.
- It analyzes the nonperturbative consistency conditions of this duality.
Main Results:
- The study confirms three key conjectures: the impossibility of global symmetries, the requirement for dynamical objects in all irreducible representations for internal gauge symmetries, and the necessity of compact internal gauge groups.
- These findings are shown to be nontrivial consequences of the AdS/CFT correspondence.
Conclusions:
- The AdS/CFT correspondence provides a consistent framework for understanding symmetries in quantum gravity.
- The results offer new insights into the structure of quantum gravity theories and their dual conformal field theories.
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