SUPERCONFORMAL ORBIFOLDS INVOLVING THE FERMION NUMBER OPERATOR

2004 ◽  
Vol 19 (22) ◽  
pp. 3637-3667 ◽  
Author(s):  
KATRIN WENDLAND
Keyword(s):  
Central Charge ◽  
Space Time ◽  
Field Theories ◽  
Two Dimensional ◽  
Number Operator ◽  
Superconformal Field Theories ◽  
Fermion Number ◽  
Multicritical Points ◽  
Arbitrary Dimensions ◽  
Charge Formula

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].

THE N = 2 SUPERCONFORMAL ℤ3 ORBIFOLD-PRIME MODEL WITH c = 3

2003 ◽  
Vol 18 (07) ◽  
pp. 503-513 ◽  
Author(s):  
SAYIPJAMAL DULAT
Keyword(s):  
Partition Function ◽  
Central Charge ◽  
Field Theories ◽  
Prime Model ◽  
Two Dimensional ◽  
Dimensional Torus ◽  
Modular Invariant ◽  
Superconformal Field Theories

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.

scholarly journals On 2d CFTs that interpolate between minimal models

2019 ◽  
Vol 6 (6) ◽  
Author(s):  
Sylvain Ribault
Keyword(s):  
Correlation Functions ◽  
Central Charge ◽  
Field Theories ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Minimal Models ◽  
Conformal Blocks ◽  
Conformal Field ◽  
Exactly Solvable ◽  
Structure Constants

We investigate exactly solvable two-dimensional conformal field theories that exist at generic values of the central charge, and that interpolate between A-series or D-series minimal models. When the central charge becomes rational, correlation functions of these CFTs may tend to correlation functions of minimal models, or diverge, or have finite limits which can be logarithmic. These results are based on analytic relations between four-point structure constants and residues of conformal blocks.

MODULAR INVARIANCE FOR THE N=2 TWISTED SUPERCONFORMAL ALGEBRA

1988 ◽  
Vol 03 (02) ◽  
pp. 127-137 ◽  
Author(s):  
V.K. Dobrev ◽  
A. Ch. Ganchev
Keyword(s):  
Central Charge ◽  
Superconformal Algebra ◽  
Field Theories ◽  
Modular Invariance ◽  
Two Dimensional ◽  
Invariance Properties ◽  
Highest Weight ◽  
Modular Transformations ◽  
Highest Weight Representations

We study the modular invariance properties of two-dimensional N=2 twisted superconformal invariant field theories. We express the characters of the unitarizable highest weight representations with central charge c=1−2/m, m=2, 3,..., in terms of certain θ—functions with characteristics. We give the modular transformations of the characters and obtain the modular invariance structures. The structures differ in the cases m=0 mod 4 and m=2 mod 4, while the cases of m odd are subcases of 4m. The latter is illustrated for m=3.

scholarly journals M5-brane sources, holography, and Argyres-Douglas theories

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Ibrahima Bah ◽  
Federico Bonetti ◽  
Ruben Minasian ◽  
Emily Nardoni
Keyword(s):  
Warped Product ◽  
Central Charge ◽  
Field Theories ◽  
Internal Space ◽  
Flavor Symmetry ◽  
Perfect Agreement ◽  
Strongly Coupled ◽  
Superconformal Field Theories ◽  
Holographic Duals ◽  
M Theory

Abstract We initiate a study of the holographic duals of a class of four-dimensional $$ \mathcal{N} $$ N = 2 superconformal field theories that are engineered by wrapping M5-branes on a sphere with an irregular puncture. These notably include the strongly-coupled field theories of Argyres-Douglas type. Our solutions are obtained in 7d gauged supergravity, where they take the form of a warped product of AdS5 and a “half-spindle.” The irregular puncture is modeled by a localized M5-brane source in the internal space of the gravity duals. Our solutions feature a realization of supersymmetry that is distinct from the usual topological twist, as well as an interesting Stückelberg mechanism involving the gauge field associated to a generator of the isometry algebra of the internal space. We check the proposed duality by computing the holographic central charge, the flavor symmetry central charge, and the dimensions of various supersymmetric probe M2-branes, and matching these with the dual Argyres-Douglas field theories. Furthermore, we compute the large-N ’t Hooft anomalies of the field theories using anomaly inflow methods in M-theory, and find perfect agreement with the proposed duality.

scholarly journals THE ORBIFOLD-STRING THEORIES OF PERMUTATION-TYPE II: CYCLE DYNAMICS AND TARGET SPACE–TIME DIMENSIONS

2010 ◽  
Vol 25 (30) ◽  
pp. 5487-5515
Author(s):  
M. B. HALPERN
Keyword(s):  
Physical State ◽  
Central Charge ◽  
Space Time ◽  
Target Space ◽  
Twisted Sector ◽  
Time Dimension ◽  
State Problem ◽  
Dimension Formula ◽  
Charge Formula ◽  
String Theories

We continue our discussion of the general bosonic prototype of the new orbifold-string theories of permutation-type. Supplementing the extended physical-state conditions of the previous paper, we construct here the extended Virasoro generators with cycle central charge [Formula: see text], where fj(σ) is the length of cycle j in twisted sector σ. We also find an equivalent, reduced formulation of each physical-state problem at reduced cycle central charge cj(σ) = 26. These tools are used to begin the study of the target space–time dimension [Formula: see text] of cycle j in sector σ, which is naturally defined as the number of zero modes (momenta) of each cycle. The general model-dependent formulae derived here will be used extensively in succeeding papers, but are evaluated in this paper only for the simplest case of the "pure" permutation orbifolds.

scholarly journals SUPER WEYL ANOMALIES IN THE AdS/CFT CORRESPONDENCE

1999 ◽  
Vol 14 (23) ◽  
pp. 3731-3743 ◽  
Author(s):  
MADOKA NISHIMURA ◽  
YOSHIAKI TANII
Keyword(s):  
Central Charge ◽  
Two Dimensions ◽  
Field Theories ◽  
Conformal Supergravity ◽  
Superconformal Field Theories ◽  
Axial Gauge ◽  
Vector Gauge

Anomalies of N=(4,4) superconformal field theories coupled to a conformal supergravity background in two dimensions are computed by using the AdS/CFT correspondence. We find that Weyl, axial gauge and super Weyl transformations are anomalous, while general coordinate, local Lorentz, vector gauge and local supertransformations are not. The coefficients of the anomalies show that the superconformal field theories have the central charge expected in the AdS/CFT correspondence.

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
Keyword(s):  
Field Theories ◽  
Two Dimensional ◽  
Superconformal Field Theories

NEW SUPERCONFORMAL CONSTRUCTIONS ON TRIANGLE-FREE GRAPHS

1992 ◽  
Vol 07 (29) ◽  
pp. 7263-7286 ◽  
Author(s):  
M.B. HALPERN ◽  
N.A. OBERS
Keyword(s):  
Graph Theory ◽  
Master Equation ◽  
Central Charge ◽  
Field Theories ◽  
Generic Level ◽  
Superconformal Field Theories ◽  
Regular Triangle ◽  
Coset Construction ◽  
Generic Construction ◽  
Almost All

It is known that the superconformal master equation has an ansatz which contains a graph theory of superconformal constructions. In this paper, we study a subansatz which is consistent and solvable on the set of triangle-free graphs. The resulting super-conformal level-families have rational central charge and the constructions are generically unitary. The level-families are generically new because irrational conformal weights occur in the generic construction, and the central charge of the generic level-family cannot be obtained by coset construction. The standard rational superconformal constructions in the subansatz are a subset of the constructions on edge-regular triangle-free graphs, and we call attention to the nonstandard constructions on these graphs as candidates for new rational superconformal field theories. We also find superconformal quadratic deformations at particular levels on almost all edge-regular triangle-free graphs.

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