Conformal Field Theory

Ketov, Sergei V.

doi:10.1142/2221

Cited by 84 publications

(133 citation statements)

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“…--There currently exists a whole menagerie [27,28,[51][52][53][54][55][56][57][58][59][60][61][62][63][64][65] of supermultiplets described in the physics literature that all possess the properties of providing a linear realization of off-shell worldsheet (4, 4)-supersymmetry with:…”

Section: (4 4)-supersymmetrymentioning

confidence: 99%

On dimensional extension of supersymmetry: from worldlines to worldsheets

Gates

Hübsch

2012

Advances in Theoretical and Mathematical Physics

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There exist myriads of off-shell worldline supermultiplets for (N ≤ 32)-extended supersymmetry in which every supercharge maps a component field to precisely one other component field or its derivative. A subset of these extends to off-shell worldsheet (p, q)-supersymmetry, and is characterized herein by evading an obstruction specified visually and computationally by the "bow-tie" and "spin sum rule" twin theorems. The evasion of this obstruction is proven to be both necessary and sufficient for a worldline supermultiplet to extend to worldsheet supersymmetry; it is also a necessary filter for dimensional extension to higher-dimensional spacetime. We show explicitly how to "re-engineer" an Adinkra-if permitted by the twin theorems-so as to depict an off-shell supermultiplet of worldsheet (p, q)-supersymmetry. This entails starting from an Adinkra depicting a specific type of supermultiplet of worldline (p+q)-supersymmetry, judiciously re-defining a subset of component fields and e-print archive: http://lanl.arXiv.org/abs/1104.0722v2

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Section: (4 4)-supersymmetrymentioning

confidence: 99%

On dimensional extension of supersymmetry: from worldlines to worldsheets

Gates

Hübsch

2012

Advances in Theoretical and Mathematical Physics

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“…Indeed, as the worldvolume of the D6-branes is effectively two-dimensional, according to the discussion in [58, §1], the 2d theory along S 1 r × R t can support gauged chiral fermions; via the process of chiral bosonization [65], these gauged chiral fermions can be expressed in terms of chiral bosons embedded in a theory of non-chiral bosons (at the free fermion radius) gauged to A; in turn, this system can be related to a chiral WZW model.…”

Section: A Geometric Langlands Duality For Surfaces For the E 6 Groupmentioning

confidence: 99%

M-theoretic derivations of 4d-2d dualities: from a geometric Langlands duality for surfaces, to the AGT correspondence, to integrable systems

Tan

2013

J. High Energ. Phys.

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In Part I, we extend our analysis in [arXiv:0807.1107], and show that a mathematically conjectured geometric Langlands duality for complex surfaces in [1], and its generalizations -which relate some cohomology of the moduli space of certain ("ramified") G-instantons to the integrable representations of the Langlands dual of certain affine (sub) G-algebras, where G is any compact Lie group -can be derived, purely physically, from the principle that the spacetime BPS spectra of string-dual M-theory compactifications ought to be equivalent.In Part II, to the setup in Part I, we introduce Omega-deformation via fluxbranes and add half-BPS boundary defects via M9-branes, and show that the celebrated AGT correspondence in [2,3], and its generalizations -which essentially relate, among other things, some equivariant cohomology of the moduli space of certain ("ramified") G-instantons to the integrable representations of the Langlands dual of certain affine W-algebras -can likewise be derived from the principle that the spacetime BPS spectra of string-dual M-theory compactifications ought to be equivalent.In Part III, we consider various limits of our setup in Part II, and connect our story to chiral fermions and integrable systems. Among other things, we derive the NekrasovOkounkov conjecture in [4] -which relates the topological string limit of the dual Nekrasov partition function for pure G to the integrable representations of the Langlands dual of an affine G-algebra -and also demonstrate that the Nekrasov-Shatashvili limit of the "fullyramified" Nekrasov instanton partition function for pure G is a simultaneous eigenfunction of the quantum Toda Hamiltonians associated with the Langlands dual of an affine G-algebra.Via the case with matter, we also make contact with Hitchin systems and the "ramified" geometric Langlands correspondence for curves.

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“…More streamlined introductions can be found in [333,334,335], and the first detailed accounts on the SCFT were given in [336,337]. For readers with applications to string theory in mind, the preface of [41,42] enumerates selected chapters which give a self contained course on CFT.…”

Section: Worldsheet Cft Of the Pure Spinor Formalismmentioning

confidence: 99%

Scattering amplitudes in open superstring theory

Schlotterer

2011

Fortschritte der Physik

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This review is concerned with scattering amplitudes in open superstring theories. In particular, we introduce two different formalisms to compute tree level amplitudes – the Ramond Neveu Schwarz‐ (RNS‐) and the Pure Spinor (PS‐) formalism. The RNS approach proves to be flexible in describing compactifications from ten to four flat spacetime dimensions. We solve the technical problems due to the underlying interacting conformal field theory on the worldsheet. This is exploited to extract phenomenologically relevant scattering amplitudes of gluons and quarks as well as production‐ and decay rates of massive vibration modes which have already been identified as virtual exchange particles at the massless level. In case of a TeV string scale, string specific signatures in parton collisions might be observed at the LHC experiment in the near future and constitute the first experimental evidence for string theory. These statements apply to a wide class of string vacua and therefore bypass the so‐called landscape problem of string theory. The PS formalism allows for a manifestly supersymmetric treatment of scattering amplitudes in ten spacetime dimensions with sixteen supercharges. We introduce a family of superfields which arises in tree amplitudes of massless open string states and can be naturally identified with diagrams made of cubic vertices. We firstly achieve a compact superspace representation of multiparticle field theory amplitudes and moreover express the complete n point superstring amplitude as a minimal linear combination of partial field theory amplitudes and hypergeometric functions. The latter carry the stringy effects and are analyzed from different perspectives.

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Conformal Field Theory

Cited by 84 publications

References 0 publications

On dimensional extension of supersymmetry: from worldlines to worldsheets

On dimensional extension of supersymmetry: from worldlines to worldsheets

M-theoretic derivations of 4d-2d dualities: from a geometric Langlands duality for surfaces, to the AGT correspondence, to integrable systems

Scattering amplitudes in open superstring theory

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