scholarly journals A minimalistic pure spinor sigma-model in AdS

2018 ◽  
Vol 2018 (7) ◽  
Author(s):  
Andrei Mikhailov
Keyword(s):  
Sigma Model ◽  
Pure Spinor

scholarly journals A construction of integrated vertex operator in the pure spinor sigma-model in AdS 5 × S 5

2013 ◽  
Vol 2013 (11) ◽  
Author(s):  
Osvaldo Chandia ◽  
Andrei Mikhailov ◽  
Brenno C. Vallilo
Keyword(s):  
Vertex Operator ◽  
Sigma Model ◽  
Pure Spinor

scholarly journals PURE SPINOR FORMALISM FOR ${\rm Osp}({\mathcal N}\vert 4)$ BACKGROUNDS

2012 ◽  
Vol 27 (32) ◽  
pp. 1250185 ◽  
Author(s):  
PIETRO FRÉ ◽  
PIETRO ANTONIO GRASSI
Keyword(s):  
Field Theory ◽  
Degrees Of Freedom ◽  
Sigma Model ◽  
Pure Spinor ◽  
Superconformal Field Theory ◽  
Spinor Formalism ◽  
Pure Spinor Formalism

We start from the Maurer–Cartan (MC) equations of the [Formula: see text] superalgebras satisfied by the left-invariant superforms realized on supercoset manifolds of the corresponding supergroups and we derive some new pure spinor constraints. They are obtained by "ghostifying" the MC forms and extending the differential d to a BRST differential. From the superalgebras [Formula: see text] we single out different subalgebras [Formula: see text] associated with the different cosets [Formula: see text]: each choice of ℍ leads to a different weakening of the pure spinor constraints. In each case, the number of parameter is counted and we show that in the cases of Osp (6|4)/ U (3)× SO (1, 3), Osp (4|4)/ SO (3) × SO (1, 3) and finally Osp (4|4)/ U (2) × SO (1, 3) the bosonic and fermionic degrees of freedom match in order to provide a c = 0 superconformal field theory. We construct both the Green–Schwarz and the pure spinor sigma model for the case Osp (6|4)/ U(3) × SO (1, 3) corresponding to AdS 4 ×ℙ3. The pure spinor sigma model can be consistently quantized.

scholarly journals The nonlinear sigma model and spin ladders

1996 ◽  
Vol 29 (12) ◽  
pp. 3299-3310 ◽  
Author(s):  
Germán Sierra
Keyword(s):  
Sigma Model ◽  
Nonlinear Sigma Model

scholarly journals A master exceptional field theory

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Guillaume Bossard ◽  
Axel Kleinschmidt ◽  
Ergin Sezgin
Keyword(s):  
Field Theory ◽  
Gauge Invariance ◽  
Sigma Model ◽  
Linear Equations ◽  
Field Theories ◽  
Gauge Invariant ◽  
Non Linear ◽  
Non Linear Equations

Abstract We construct a pseudo-Lagrangian that is invariant under rigid E11 and transforms as a density under E11 generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on E11 exceptional field theory and the inclusion of constrained fields that transform in an indecomposable E11-representation together with the E11 coset fields. We show that, in combination with gauge-invariant and E11-invariant duality equations, this pseudo-Lagrangian reduces to the bosonic sector of non-linear eleven-dimensional supergravity for one choice of solution to the section condi- tion. For another choice, we reobtain the E8 exceptional field theory and conjecture that our pseudo-Lagrangian and duality equations produce all exceptional field theories with maximal supersymmetry in any dimension. We also describe how the theory entails non-linear equations for higher dual fields, including the dual graviton in eleven dimensions. Furthermore, we speculate on the relation to the E10 sigma model.

scholarly journals Long way to Ricci flatness

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Jin Chen ◽  
Chao-Hsiang Sheu ◽  
Mikhail Shifman ◽  
Gianni Tallarita ◽  
Alexei Yung
Keyword(s):  
Sigma Model ◽  
Ultra Violet ◽  
The Other ◽  
Target Space ◽  
Linear Sigma Model ◽  
Close Relative ◽  
Two Dimensional ◽  
World Sheet ◽  
Ricci Flat ◽  
The World

Abstract We study two-dimensional weighted $$ \mathcal{N} $$ N = (2) supersymmetric ℂℙ models with the goal of exploring their infrared (IR) limit. 𝕎ℂℙ(N,$$ \tilde{N} $$ N ˜ ) are simplified versions of world-sheet theories on non-Abelian strings in four-dimensional $$ \mathcal{N} $$ N = 2 QCD. In the gauged linear sigma model (GLSM) formulation, 𝕎ℂℙ(N,$$ \tilde{N} $$ N ˜ ) has N charges +1 and $$ \tilde{N} $$ N ˜ charges −1 fields. As well-known, at $$ \tilde{N} $$ N ˜ = N this GLSM is conformal. Its target space is believed to be a non-compact Calabi-Yau manifold. We mostly focus on the N = 2 case, then the Calabi-Yau space is a conifold. On the other hand, in the non-linear sigma model (NLSM) formulation the model has ultra-violet logarithms and does not look conformal. Moreover, its metric is not Ricci-flat. We address this puzzle by studying the renormalization group (RG) flow of the model. We show that the metric of NLSM becomes Ricci-flat in the IR. Moreover, it tends to the known metric of the resolved conifold. We also study a close relative of the 𝕎ℂℙ model — the so called zn model — which in actuality represents the world sheet theory on a non-Abelian semilocal string and show that this zn model has similar RG properties.

scholarly journals Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Alejandro Ayala ◽  
José Luis Hernández ◽  
L. A. Hernández ◽  
Ricardo L. S. Farias ◽  
R. Zamora
Keyword(s):  
Magnetic Field ◽  
Field Dependence ◽  
Magnetic Field Dependence ◽  
Sigma Model ◽  
Neutral Pion ◽  
Strong Field ◽  
Pion Mass ◽  
Linear Sigma Model ◽  
Field Case

scholarly journals From perturbative to non-perturbative in the O(4) sigma model

2021 ◽  
pp. 136369
Author(s):  
Michael C. Abbott ◽  
Zoltán Bajnok ◽  
János Balog ◽  
Árpád Hegedűs
Keyword(s):  
Sigma Model
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