Rational conformal field theories at, and away from, criticality as Toda field theories

Hollowood, Timothy J.; Mansfield, Paul

doi:10.1016/0370-2693(89)90291-8

Cited by 144 publications

(86 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…for the G = SU(2) theory, Ω = 1 2 , so (3.1) gives X 4 = ∆c/6(c 2 (F SU(2) L ) − c 2 (F SU(2) R )), which satisfies (1.9) because here ∆c = 6. More generally, as noted in [42] (or [43], for 2d Toda), the Freudenthal and de Vries strange formula implies that, for G = A, D, E, (where…”

Section: Jhep10(2014)162mentioning

confidence: 86%

6d, N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ Coulomb branch anomaly matching

Intriligator

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

6d QFTs are constrained by the analog of 't Hooft anomaly matching: all anomalies for global symmetries and metric backgrounds are constants of RG flows, and for all vacua in moduli spaces. We discuss an anomaly matching mechanism for 6d N = (1, 0) theories on their Coulomb branch. It is a global symmetry analog of Green-Schwarz-WestSagnotti anomaly cancellation, and requires the apparent anomaly mismatch to be a perfect square, ∆I 8 = 1 2 X 2 4 . Then ∆I 8 is cancelled by making X 4 an electric/magnetic source for the tensor multiplet, so background gauge field instantons yield charged strings. This requires the coefficients in X 4 to be integrally quantized. We illustrate this for N = (2, 0) theories. We also consider the N = (1, 0) SCFTs from N small E 8 instantons, verifying that the recent result for its anomaly polynomial fits with the anomaly matching mechanism.

show abstract

Section: Jhep10(2014)162mentioning

confidence: 86%

6d, N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ Coulomb branch anomaly matching

Intriligator

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…In this case, the local conservation laws can be constructed systematically from the zero curvature formulation of the problem and they are related, as it is well known, with the Hamiltonian densities of the KdV hierarchy (ie, their flows are mutually commuting). More generally, affine Toda theories have provided a Lagrangian framework for looking at the problem of various integrable perturbations (see for instance [11]). …”

Section: Introductionmentioning

confidence: 99%

Conservation Laws and Geometry of Perturbed Coset Models

Bakas

1994

Int. J. Mod. Phys. A

115

View full text Add to dashboard Cite

We present a Lagrangian description of the SU(2)/U(1) coset model perturbed by its first thermal operator. This is the simplest perturbation that changes sign under Krammers-Wannier duality. The resulting theory, which is a 2-component generalization of the sine-Gordon model, is then taken in Minkowski space. For negative values of the coupling constant g, it is classically equivalent to the O(4) non-linear σ-model reduced in a certain frame. For g > 0, it describes the relativistic motion of vortices in a constant external field. Viewing the classical equations of motion as a zero curvature condition, we obtain recursive relations for the infinitely many conservation laws by the abelianization method of gauge connections. The higher spin currents are constructed entirely using an off-critical generalization of the W ∞ generators. We give a geometric interpretation to the corresponding charges in terms of embeddings. Applications to the chirally invariant U(2) Gross-Neveu model are also discussed.

show abstract

“…We make a further observation in relation to the central charge (1.4) of the Toda models for simple laced group [24] where it appeared via the Freudenthal and de Vries' strange formula,…”

Section: Bps Objects In Ade Type (20) Theoriesmentioning

confidence: 81%

1/4BPS string junctions andN3problem in 6-dimensional (2,0) superconformal theories

Bolognesi

Lee

2011

Phys. Rev. D

View full text Add to dashboard Cite

Abstract:We explore 1/4 BPS objects in the Coulomb phase of the ADE-type 6-dim (2,0) superconformal theories. By using the previous work on the junctions of strings in 5-dim gauge theories and 6-dim superconformal theories, we count the number of 1/4 BPS objects, which are made of waves on selfdual strings and junctions of selfdual strings and show that for all cases the number matches exactly one third of the anomaly constant c G = d G h G which is the product of dimension d G and dual Coxeter number h G . This suggests the long sought after N 3 degrees of freedom are these 1/4 BPS objects at least in the Coulomb phase.

show abstract

Rational conformal field theories at, and away from, criticality as Toda field theories

Cited by 144 publications

References 28 publications

6d, N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ Coulomb branch anomaly matching

6d, N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ Coulomb branch anomaly matching

Conservation Laws and Geometry of Perturbed Coset Models

1/4BPS string junctions andN3problem in 6-dimensional (2,0) superconformal theories

Contact Info

Product

Resources

About