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This review talk focusses on some of the interesting developments in the area of superstring compactification that have occurred in the last couple of years. These include the discovery that ``mirror symmetric" pairs of Calabi--Yau spaces,…

High Energy Physics - Theory · Physics 2007-05-23 John H. Schwarz

In this work we present the minimal supersymmetric extension of the five-dimensional dilaton-gravity theory that captures the main properties of the holographic dual of little string theory. It is described by a particular gauging of…

High Energy Physics - Theory · Physics 2018-04-04 Ignatios Antoniadis , Antonio Delgado , Chrysoula Markou , Stefan Pokorski

In order to gain deeper understanding of pure-spinor-based formalisms of superstring, an explicit similarity transformation is constructed which provides operator mapping between the light-cone Green-Schwarz (LCGS) formalism and the…

High Energy Physics - Theory · Physics 2009-11-10 Yuri Aisaka , Yoichi Kazama

We show how to formulate $2$-dimensional supersymmetric $N=1,2$ theories, both massive and conformal, within a manifestly supersymmetric hamiltonian framework, via the introduction of a (super)-Poisson brackets structure defined on…

High Energy Physics - Theory · Physics 2015-06-26 E. Ivanov , F. Toppan

Within the context of the extended bi-spinor gauge theory we describe a new off-shell realization of scalar supersymmetry (s-susy) of massless interacting fields with U(1), U(1) x SU(N) and U(1) x SU(N_1) x SU(N_2) gauge groups. S-susy acts…

High Energy Physics - Theory · Physics 2017-10-18 Alex Jourjine

Off-shell higher spin N=2 supermultiplets in three spacetime dimensions (3D) are presented in this paper. We propose gauge prepotentials for higher spin superconformal gravity and construct the corresponding gauge-invariant field strengths,…

High Energy Physics - Theory · Physics 2016-11-30 Sergei M. Kuzenko , Daniel X. Ogburn

We calculate the genus-one three- and four-point amplitudes in the 2+2 dimensional closed N=(2,2) worldsheet supersymmetric string within the RNS formulation. Vertex operators are redefined with the incorporation of spinor helicity…

High Energy Physics - Theory · Physics 2009-10-31 Gordon Chalmers , Olaf Lechtenfeld , Bernd Niemeyer

The pure spinor formalism for the superstring was recently obtained by gauge-fixing a purely bosonic classical action involving a twistor-like constraint $\partial x^m (\gamma_m\lambda)_\alpha =0$ where $\lambda^\alpha$ is a d=10 pure…

High Energy Physics - Theory · Physics 2015-11-20 Nathan Berkovits

In a series of papers Grassi, Policastro, Porrati and van Nieuwenhuizen have introduced a new method to covariantly quantize the GS-superstring by constructing a resolution of the pure spinor constraint of Berkovits' approach. Their latest…

High Energy Physics - Theory · Physics 2009-11-10 Sebastian Guttenberg , Johanna Knapp , Maximilian Kreuzer

We propose a discrete model whose continuum limit reproduces the string susceptibility and the scaling dimensions of $(2,4m)$-minimal superconformal models coupled to $2D$-supergravity. The basic assumption in our presentation is a set of…

High Energy Physics - Theory · Physics 2015-06-26 L. Alvarez-Gaume , H. Itoyama , J. L. Manes , A. Zadra

Sigma model actions are constructed for the Type II superstring compactified to four and six dimensional curved backgrounds which can contain non-vanishing Ramond-Ramond fields. These actions are N=2 worldsheet superconformally invariant…

High Energy Physics - Theory · Physics 2011-04-15 Nathan Berkovits

The formalism of graded Poisson-sigma models allows the construction of N=(2,2) dilaton supergravity in terms of a minimal number of fields. For the gauged chiral U(1) symmetry the full action, involving all fermionic contributions, is…

High Energy Physics - Theory · Physics 2011-09-13 L. Bergamin , W. Kummer

The algebra of spacetime supersymmetry generators in the RNS formalism for the superstring closes only up to a picture-changing operation. After adding non-minimal variables and working in the "large" Hilbert space, the algebra closes…

High Energy Physics - Theory · Physics 2021-11-03 Nathan Berkovits

A geometry of superspace corresponding to double field theory is developed, with type II supergravity in D=10 as the main example. The formalism is based on an orthosymplectic extension OSp(d,d|2s) of the continuous T-duality group.…

High Energy Physics - Theory · Physics 2016-07-20 Martin Cederwall

We use the recently found matrix description of noncritical superstring theory of Type 0A to compute tachyon scattering amplitudes in a background with a RR flux. We find that after the string coupling is multiplicatively renormalized, the…

High Energy Physics - Theory · Physics 2009-11-10 Anton Kapustin

An unambiguous and slice-independent formula for the two-loop superstring measure on moduli space for even spin structure is constructed from first principles. The construction uses the super-period matrix as moduli invariant under…

High Energy Physics - Theory · Physics 2008-11-26 Eric D'Hoker , D. H. Phong

We study d=2, N=(2,2) non-linear sigma-models in (2,2) superspace. By analyzing the most general constraints on a superfield, we show that through an appropriate choice of coordinates, there are no other superfields than chiral, twisted…

High Energy Physics - Theory · Physics 2009-10-30 Alexander Sevrin , Jan Troost

We study curved-space rigid supersymmetry for two-dimensional $\mathcal{N}=(2,2)$ supersymmetric fields theories with a vector-like $R$-symmetry by coupling such theories to background supergravity. The associated Killing spinors can be…

High Energy Physics - Theory · Physics 2015-06-19 Cyril Closset , Stefano Cremonesi

We present the Y-formalism in the pure spinor quantization of superstring theory in detail. Even if the $\omega-\lambda$ OPE is not completely free owing to the presence of the projector reflecting the pure spinor constraint, it is shown…

High Energy Physics - Theory · Physics 2010-04-05 I. Oda , M. Tonin

By replacing two of the bosonic scalar superfields of the N=2 string with fermionic scalar superfields (which shifts $d_{critical}$ from (2,2) to (9,1)), a quadratic action for the ten-dimensional Green-Schwarz superstring is obtained.…

High Energy Physics - Theory · Physics 2007-05-23 Nathan Berkovits