Geometry of two-dimensional superconformal field theories

1987 ◽  
Vol 70 (1) ◽  
pp. 64-72 ◽  
Author(s):  
M. A. Baranov ◽  
I. V. Frolov ◽  
A. S. Shvarts
2004 ◽  
Vol 19 (22) ◽  
pp. 3637-3667 ◽  
Author(s):  
KATRIN WENDLAND

We consider orbifolds of two-dimensional unitary toroidal superconformal field theories with target spaces of arbitrary dimensions, where the orbifold group involves the space–time fermion number operator. We construct all so-called superaffine, orbifold prime and super-M-orbifold models by generalizing the constructions of Dixon, Ginsparg and Harvey. We also correct claims made by Dixon, Ginsparg and Harvey about multicritical points among those models with central charge [Formula: see text].


2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Yuji Sugawara

Abstract One of interesting issues in two-dimensional superconformal field theories is the existence of anomalous modular transformation properties appearing in some non-compact superconformal models, corresponding to the “mock modularity” in mathematical literature. I review a series of my studies on this issue in collaboration with T. Eguchi, mainly focusing on T. Eguchi and Y. Sugawara, J. High Energy Phys. 1103, 107 (2011); J. High Energy Phys. 1411, 156 (2014); and Prog. Theor. Exp. Phys. 2016, 063B02 (2016).


2021 ◽  
Vol 81 (9) ◽  
Author(s):  
Parinya Karndumri ◽  
Chawakorn Maneerat

AbstractWe give a large class of supersymmetric Janus solutions in $$\omega $$ ω -deformed (dyonic) SO(8) maximal gauged supergravity with $$\omega =\frac{\pi }{8}$$ ω = π 8 . Unlike the purely electric counterpart, the dyonic SO(8) gauged supergravity exhibits a richer structure of $$AdS_4$$ A d S 4 vacua with $$N=8,2,1,1$$ N = 8 , 2 , 1 , 1 supersymmetries and SO(8), U(3), $$G_2$$ G 2 and SU(3) symmetries, respectively. Similarly, domain walls interpolating among these critical points show a very rich structure as well. In this paper, we show that this gauged supergravity also accommodates a number of interesting supersymmetric Janus solutions in the form of $$AdS_3$$ A d S 3 -sliced domain walls asymptotically interpolating between the aforementioned $$AdS_4$$ A d S 4 geometries. These solutions could be holographically interpreted as two-dimensional conformal defects within the superconformal field theories (SCFTs) of ABJM type dual to the $$AdS_4$$ A d S 4 vacua. We also give a class of solutions interpolating among the SO(8), $$G_2$$ G 2 and U(3) $$AdS_4$$ A d S 4 vacua in the case of $$\omega =0$$ ω = 0 which have not previously appeared in the presently known Janus solutions of electric SO(8) gauged supergravity.


2003 ◽  
Vol 18 (07) ◽  
pp. 503-513 ◽  
Author(s):  
SAYIPJAMAL DULAT

We consider N = 2 superconformal field theories on a two-dimensional torus with central charge c = 3. In particular, we present the partition function for this theory. Furthermore, to generate new theories, we recall general orbifold prescription. Finally, we construct the modular invariant ℤ3 orbifold-prime model.


1987 ◽  
Vol 195 (2) ◽  
pp. 202-208 ◽  
Author(s):  
Francesco Ravanini ◽  
Sung-Kil Yang

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Arjun Bagchi ◽  
Sudipta Dutta ◽  
Kedar S. Kolekar ◽  
Punit Sharma

Abstract Two dimensional field theories with Bondi-Metzner-Sachs symmetry have been proposed as duals to asymptotically flat spacetimes in three dimensions. These field theories are naturally defined on null surfaces and hence are conformal cousins of Carrollian theories, where the speed of light goes to zero. In this paper, we initiate an investigation of anomalies in these field theories. Specifically, we focus on the BMS equivalent of Weyl invariance and its breakdown in these field theories and derive an expression for Weyl anomaly. Considering the transformation of partition functions under this symmetry, we derive a Carrollian Liouville action different from ones obtained in the literature earlier.


2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Enrico M. Brehm

Abstract We investigate perturbatively tractable deformations of topological defects in two-dimensional conformal field theories. We perturbatively compute the change in the g-factor, the reflectivity, and the entanglement entropy of the conformal defect at the end of these short RG flows. We also give instances of such flows in the diagonal Virasoro and Super-Virasoro Minimal Models.


2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Cyril Closset ◽  
Simone Giacomelli ◽  
Sakura Schäfer-Nameki ◽  
Yi-Nan Wang

Abstract Canonical threefold singularities in M-theory and Type IIB string theory give rise to superconformal field theories (SCFTs) in 5d and 4d, respectively. In this paper, we study canonical hypersurface singularities whose resolutions contain residual terminal singularities and/or 3-cycles. We focus on a certain class of ‘trinion’ singularities which exhibit these properties. In Type IIB, they give rise to 4d $$ \mathcal{N} $$ N = 2 SCFTs that we call $$ {D}_p^b $$ D p b (G)-trinions, which are marginal gaugings of three SCFTs with G flavor symmetry. In order to understand the 5d physics of these trinion singularities in M-theory, we reduce these 4d and 5d SCFTs to 3d $$ \mathcal{N} $$ N = 4 theories, thus determining the electric and magnetic quivers (or, more generally, quiverines). In M-theory, residual terminal singularities give rise to free sectors of massless hypermultiplets, which often are discretely gauged. These free sectors appear as ‘ugly’ components of the magnetic quiver of the 5d SCFT. The 3-cycles in the crepant resolution also give rise to free hypermultiplets, but their physics is more subtle, and their presence renders the magnetic quiver ‘bad’. We propose a way to redeem the badness of these quivers using a class $$ \mathcal{S} $$ S realization. We also discover new S-dualities between different $$ {D}_p^b $$ D p b (G)-trinions. For instance, a certain E8 gauging of the E8 Minahan-Nemeschansky theory is S-dual to an E8-shaped Lagrangian quiver SCFT.


Sign in / Sign up

Export Citation Format

Share Document