scholarly journals (8,0) LOCALLY SUPERSYMMETRIC SIGMA MODELS WITH CONFORMALINVARIANCE IN TWO DIMENSIONS

1989 ◽  
pp. 902-907
Author(s):  
E. BERGSHOEFF ◽  
E. SEZGIN ◽  
H. NISHINO
Keyword(s):  
Sigma Models ◽  
Two Dimensions

scholarly journals NONLINEAR SIGMA MODELS ON A HALF PLANE

1996 ◽  
Vol 11 (17) ◽  
pp. 3127-3143 ◽  
Author(s):  
M.F. MOURAD ◽  
R. SASAKI
Keyword(s):  
Sigma Models ◽  
Half Plane ◽  
Neumann Boundary Condition ◽  
Neumann Boundary ◽  
Two Dimensions ◽  
Field Theories ◽  
Integrable Field Theory ◽  
Infinite Set ◽  
Integrable Field ◽  
Nonlinear Sigma Models

In the context of integrable field theory with boundary, the integrable nonlinear sigma models in two dimensions, for example the O(N), the principal chiral, the CPN−1 and the complex Grassmannian sigma models, are discussed on a half plane. In contrast to the well-known cases of sine-Gordon, nonlinear Schrödinger and affine Toda field theories, these nonlinear sigma models in two dimensions are not classically integrable if restricted on a half plane. It is shown that the infinite set of nonlocal charges characterizing the integrability on the whole plane is not conserved for the free (Neumann) boundary condition. If we require that these nonlocal charges be conserved, then the solutions become trivial.

Beta functions in Chirally deformed supersymmetric sigma models in two dimensions

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645040
Author(s):  
Arkady Vainshtein
Keyword(s):  
Sigma Models ◽  
Two Dimensions ◽  
Two Dimensional ◽  
World Sheet ◽  
Yang Mills ◽  
Anomalous Dimensions ◽  
Straightforward Method ◽  
The World ◽  
Original Formula

We study two-dimensional sigma models where the chiral deformation diminished the original [Formula: see text] supersymmetry to the chiral one, [Formula: see text]. Such heterotic models were discovered previously on the world sheet of non-Abelian stringy solitons supported by certain four-dimensional [Formula: see text] theories. We study geometric aspects and holomorphic properties of these models, and derive a number of exact expressions for the [Formula: see text] functions in terms of the anomalous dimensions analogous to the NSVZ [Formula: see text] function in four-dimensional Yang-Mills. Instanton calculus provides a straightforward method for the derivation.

scholarly journals Integrability in sigma-models

2019 ◽  
pp. 205-247 ◽  
Author(s):  
K. Zarembo
Keyword(s):  
Sigma Models ◽  
Homogeneous Spaces ◽  
Beta Function ◽  
Background Field ◽  
Field Method ◽  
Two Dimensions ◽  
S Matrix ◽  
Background Field Method ◽  
Coset Models

The following topics are covered in this chapter: (1) Homogeneous spaces, (2) Classical integrability of sigma-models in two dimensions, (3) Topological terms, (4) Background-field method and beta-function, (5) S-matrix bootstrap in the O(N) model, (6) Supersymmetric coset models and strings on AdS(d) x X.

scholarly journals DUALITY IN FUZZY SIGMA MODELS

2004 ◽  
Vol 19 (30) ◽  
pp. 5237-5245 ◽  
Author(s):  
A. P. BALACHANDRAN ◽  
GIORGIO IMMIRZI
Keyword(s):  
Sigma Models ◽  
Two Dimensions ◽  
Self Duality ◽  
Nonlinear Sigma Models

Nonlinear "sigma" models in two dimensions have BPS solitons which are solutions of self- and anti-self-duality constraints. In this paper, we find their analogues for fuzzy sigma models on fuzzy spheres which were treated in detail by us in earlier work. We show that fuzzy BPS solitons are quantized versions of "Bott projectors," and construct them explicitly. Their supersymmetric versions follow from the work of S. Kürkçüoǧlu.

scholarly journals Superconformal sigma models in higher than two dimensions

1995 ◽  
Vol 443 (1-2) ◽  
pp. 70-84 ◽  
Author(s):  
Ergin Sezgin ◽  
Yoshiaki Tanii
Keyword(s):  
Sigma Models ◽  
Two Dimensions

scholarly journals On nonanticommutative Script N = 2 sigma-models in two dimensions

2005 ◽  
Vol 2005 (04) ◽  
pp. 007-007 ◽  
Author(s):  
Luis Álvarez-Gaumé ◽  
Miguel A Vázquez-Mozo
Keyword(s):  
Sigma Models ◽  
Two Dimensions
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