| 1. |
- Beisert, Niklas, et al.
(författare)
-
Review of AdS/CFT Integrability : An Overview
- 2012
-
Ingår i: Letters in Mathematical Physics. - : Springer Science and Business Media LLC. - 0377-9017 .- 1573-0530. ; 99:1-3, s. 3-32
-
Forskningsöversikt (refereegranskat)abstract
- This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements and the status of this subject as of the year 2010.
|
|
| 2. |
- Bhardwaj, Lakshya, et al.
(författare)
-
Non-invertible higher-categorical symmetries
- 2023
-
Ingår i: SciPost Physics. - : Stichting SciPost. - 2542-4653. ; 14:1
-
Tidskriftsartikel (refereegranskat)abstract
- We sketch a procedure to capture general non-invertible symmetries of a d-dimensional quantum field theory in the data of a higher-category, which captures the local properties of topological defects associated to the symmetries. We also discuss fusions of topological defects, which involve condensations/gaugings of higher-categorical symmetries localized on the worldvolumes of topological defects. Recently some fusions of topological defects were discussed in the literature where the dimension of topological defects seems to jump under fusion. This is not possible in the standard description of higher-categories. We explain that the dimension-changing fusions are understood as higher-morphisms of the higher-category describing the symmetry. We also discuss how a 0-form sub-symmetry of a higher-categorical symmetry can be gauged and describe the higher-categorical symmetry of the theory obtained after gauging. This provides a procedure for constructing non-invertible higher-categorical symmetries starting from invertible higher-form or higher-group symmetries and gauging a 0-form symmetry. We illustrate this procedure by constructing non-invertible 2-categorical symmetries in 4d gauge theories and non-invertible 3-categorical symmetries in 5d and 6d theories. We check some of the results obtained using our approach against the results obtained using a recently proposed approach based on’t Hooft anomalies.
|
|
| 3. |
- Bhardwaj, Lakshya, et al.
(författare)
-
Non-invertible symmetry webs
- 2023
-
Ingår i: SciPost Physics. - : Stichting SciPost. - 2542-4653. ; 15:4
-
Tidskriftsartikel (refereegranskat)abstract
- Non-invertible symmetries have by now seen numerous constructions in higher dimensional Quantum Field Theories (QFT). In this paper we provide an in depth study of gauging 0-form symmetries in the presence of non-invertible symmetries. The starting point of our analysis is a theory with G 0-form symmetry, and we propose a description of sequential partial gaugings of sub-symmetries. The gauging implements the theta-symmetry defects of the companion paper [1]. The resulting network of symmetry structures related by this gauging will be called a non-invertible symmetry web. Our formulation makes direct contact with fusion 2-categories, and we uncover numerous interesting structures such as symmetry fractionalization in this categorical setting. The complete symmetry web is derived for several groups G, and we propose extensions to higher dimensions. The highlight of this analysis is the complete categorical symmetry web, including non-invertible symmetries, for 3d pure gauge theories with orthogonal gauge groups and its extension to arbitrary dimensions.
|
|
| 4. |
- Bhardwaj, Lakshya, et al.
(författare)
-
Unifying constructions of non-invertible symmetries
- 2023
-
Ingår i: SciPost Physics. - : SciPost Foundation. - 2542-4653. ; 15:3
-
Tidskriftsartikel (refereegranskat)abstract
- In the past year several constructions of non-invertible symmetries in Quantum Field Theory in d ≥ 3 have appeared. In this paper we provide a unified perspective on these constructions. Central to this framework are so-called theta defects, which generalize the notion of theta-angles, and allow the construction of universal and non-universal topological symmetry defects. We complement this physical analysis by proposing a mathematical framework (based on higher-fusion categories) that converts the physical construction of non-invertible symmetries into a concrete computational scheme.
|
|
| 5. |
- Schäfer-Nameki, Sakura, et al.
(författare)
-
How accurate is the quantum string Bethe ansatz?
- 2006
-
Ingår i: Journal of High Energy Physics (JHEP). - : Springer Science and Business Media LLC. - 1126-6708 .- 1029-8479. ; :12, s. 020-
-
Tidskriftsartikel (refereegranskat)abstract
- We compare solutions of the quantum string Bethe equations with explicit one-loop calculations in the sigma-model on AdS(5) x S-5. The Bethe ansatz exactly reproduces the spectrum of infinitely long strings. When the length is finite, we find that deviations from the exact answer arise which are exponentially small in the string length.
|
|
| 6. |
- Schäfer-Nameki, Sakura, et al.
(författare)
-
Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
- 2005
-
Ingår i: Journal of High Energy Physics. ; 0509, s. 051-
-
Tidskriftsartikel (populärvet., debatt m.m.)abstract
- We analyze quantum corrections to rigid spinning strings in AdS(5)xS(5). The one-loop worldsheet quantum correction to the string energy is compared to the finite-size correction from the quantum string Bethe ansatz. Expanding the summands of the string theory energy shift in the parameter \lambda/J^2 and subsequently resumming them yields a divergent result. However, upon zeta-function regularization this result agrees with the Bethe ansatz at the first three orders. We also perform an analogous computation in the limit of large winding number, which results in a disagreement with the string Bethe ansatz prediction. A similar mismatch is observed numerically. We comment on the possible origin of this discrepancy.
|
|
