Summing inflationary logarithms in nonlinear sigma models
Sign Up to like & getrecommendations! Published in 2022 at "Journal of High Energy Physics"
DOI: 10.1007/jhep03(2022)069
Abstract: Abstract We consider two nonlinear sigma models on de Sitter background which involve the same derivative interactions as quantum gravity but without the gauge issue. The first model contains only a single field, which can… read more here.
Keywords: sigma models; nonlinear sigma; inflationary logarithms; summing inflationary ... See more keywords
All (4,0): Sigma models with (4,0) off-shell supersymmetry
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep08(2017)129
Abstract: A bstractOff-shell (4, 0) supermultiplets in 2-dimensions are formulated. These are used to construct sigma models whose target spaces are vector bundles over manifolds that are hyperkähler with torsion. The off-shell supersymmetry implies that the… read more here.
Keywords: models shell; shell supersymmetry; sigma models;
Integrable deformed T1,1 sigma models from 4D Chern-Simons theory
Sign Up to like & getrecommendations! Published in 2021 at "Journal of High Energy Physics"
DOI: 10.1007/jhep09(2021)037
Abstract: Abstract Recently, a variety of deformed T1,1 manifolds, with which 2D non-linear sigma models (NLSMs) are classically integrable, have been presented by Arutyunov, Bassi and Lacroix (ABL) [46]. We refer to the NLSMs with the… read more here.
Keywords: chern simons; integrable deformed; sigma; model ... See more keywords
On non-abelian T-duality and deformations of supercoset string sigma-models
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep10(2017)024
Abstract: A bstractWe elaborate on the class of deformed T-dual (DTD) models obtained by first adding a topological term to the action of a supercoset sigma model and then performing (non-abelian) T-duality on a subalgebra g˜$$… read more here.
Keywords: duality; non abelian; abelian duality; tilde mathfrak ... See more keywords
Globalization for Perturbative Quantization of Nonlinear Split AKSZ Sigma Models on Manifolds with Boundary
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03591-5
Abstract: We describe a covariant framework to construct a globalized version for the perturbative quantization of nonlinear split AKSZ Sigma Models on manifolds with and without boundary, and show that it captures the change of the… read more here.
Keywords: nonlinear split; split aksz; perturbative quantization; quantization nonlinear ... See more keywords
On the massless tree-level S-matrix in 2d sigma models
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab0b79
Abstract: Motivated by the search for new integrable string models, we study the properties of massless tree-level S-matrices for 2d sigma models expanded near the trivial vacuum. We find that, in contrast to the standard massive… read more here.
Keywords: tree level; level; massless tree; model ... See more keywords
Exploring instantons in nonlinear sigma models with spin-lattice systems
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.103.144436
Abstract: Instanton processes are present in a variety of quantum field theories relevant to high energy as well as condensed matter physics. While they have led to important theoretical insights and physical applications, their underlying features… read more here.
Keywords: sigma models; lattice systems; instantons nonlinear; exploring instantons ... See more keywords
Conformal invariance from scale invariance in nonlinear sigma models
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review D"
DOI: 10.1103/physrevd.102.065018
Abstract: There exists a certain argument that in even dimensions, scale invariant quantum field theories are conformal invariant. We may try to extend the argument in $2n + \epsilon$ dimensions, but the naive extension has a… read more here.
Keywords: invariance; conformal invariance; sigma models; invariance scale ... See more keywords
Integrable sigma models on Riemann surfaces
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review D"
DOI: 10.1103/physrevd.107.085015
Abstract: We consider quantum aspects of a class of generalized Gross-Neveu models, which in special cases reduce to sigma models. We show that, in the case of gauged models, an admissible gauge is $A_\mu=0$, which is… read more here.
Keywords: integrable sigma; sigma models; geometry; riemann surfaces ... See more keywords
Canonical quantization of nonlinear sigma models with a theta term and applications to symmetry-protected topological phases
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review D"
DOI: 10.1103/physrevd.96.045010
Abstract: We canonically quantize $O(D+2)$ nonlinear sigma models (NLSMs) with theta term on arbitrary smooth, closed, connected, oriented $D$-dimensional spatial manifolds $\mathcal{M}$, with the goal of proving the suitability of these models for describing symmetry-protected topological… read more here.
Keywords: ground; term; symmetry protected; theta term ... See more keywords
Towards Lefschetz Thimbles in Sigma Models, I
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Experimental and Theoretical Physics"
DOI: 10.1134/s1063776121040129
Abstract: Abstract We study two dimensional path integral Lefschetz thimbles, i.e. the possible path integration contours. Specifically, in the examples of the O ( N ) and $$\mathbb{C}{{\mathbb{P}}^{{N - 1}}}$$ models, we find a large class… read more here.
Keywords: towards lefschetz; sigma models; lefschetz thimbles; thimbles sigma ... See more keywords