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One-point functions in β-deformed N=4 SYM with defect
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. NORDITA, KTH Royal Institute of Technology and Stockholm University, Stockholm, Sweden.
2018 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 114, p. 1-18Article in journal (Refereed) Published
Abstract [en]

We generalize earlier results on one-point functions in N=4 SYM with a codimension one defect, dual to the D3-D5-brane setup in type IIB string theory on AdS5 ×S5, to a similar setup in the β-deformed version of the theory. The treelevel vacuum expectation values of single-trace operators in the two-scalar-subsector are expressed as overlaps between a matrix product state (MPS) and Bethe states in the corresponding twisted spin-chain picture. We comment on the properties of this MPS and present the simplest analytical overlaps and their behavior in a certain limit (of large k). Importantly, we note that the deformation alters earlier interpretations of the MPS as an integrable boundary state, seemingly obstructing simplifications of the overlaps analogous to the compact determinant formula found in the non-deformed theory. The results are supplemented with some supporting numerical results for operators of length eight with four excitations.

Place, publisher, year, edition, pages
2018. Vol. 114, p. 1-18
Keywords [en]
AdS-CFT Correspondence, Duality in Gauge Field Theories, Integrable Field Theories, Lattice Integrable Models
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:uu:diva-371326DOI: 10.1007/JHEP11(2018)114OAI: oai:DiVA.org:uu-371326DiVA, id: diva2:1273010
Note

ArXiv ePrint: 1804.09514

Available from: 2018-12-20 Created: 2018-12-20 Last updated: 2019-02-13Bibliographically approved
In thesis
1. Exact Results in Supersymmetric Field Theories: A dissertation on the defect and deformed
Open this publication in new window or tab >>Exact Results in Supersymmetric Field Theories: A dissertation on the defect and deformed
2019 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Quantum field theories (QFTs) are the most precise descriptions of the physical reality that humanity has found. Yet exact predictions are often missing as most computations are notoriously difficult to carry out. One generally resorts to perturbation theory which immediately limits the regime of validity. The need of better computational techniques and a deeper understanding of quantum field theory is evident.

The highly symmetric N=4 SYM theory offers guidance in this quest. The theory's maximal supersymmetry and conformal invariance have allowed for the development of several computational techniques, most notably the AdS/CFT correspondence, supersymmetric localization and applications of integrability. These methods provide the rarity of exact results in a fully interacting QFT and shine light on regimes inaccessible by traditional computations.

The insights drawn from N=4 SYM can be extended into more general settings through deformations and modifications. Three such modifications are the β-deformation, the massive deformation N=2* and N=4 SYM with a defect. This thesis summarizes a number of exact results for these three settings through: i) a spin-chain analogy for two-point functions in the defect N=4 SYM, ii) a vacuum solution for the β-deformed defect N=4 SYM and its spin-chain interpretation of one-point functions, iii) a detailed study of the phase transitions in N=2* applying localization and iv) an adaptation of the Quantum Spectral Curve to explicit calculations of anomalous dimensions in β-deformed N=4 SYM.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2019. p. 116
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 1776
Keywords
AdS/CFT correspondence, integrability, localization, supersymmetric deformations, Quantum Spectral Curve, defect CFT, one-point functions
National Category
Other Physics Topics
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:uu:diva-377042 (URN)978-91-513-0577-6 (ISBN)
Public defence
2019-04-02, FB53, AlbaNova University Center, Stockholm, 10:15 (English)
Opponent
Supervisors
Available from: 2019-03-12 Created: 2019-02-13 Last updated: 2019-03-18

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Widen, Erik

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