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A supersymmetric theory in two-dimensions has enough data to define a noncommutative space thus making it possible to use all the tools of noncommutative geometry. In particular, we apply this to the N=1 supersymmetric non-linear sigma…

High Energy Physics - Theory · Physics 2009-10-30 Ali H. Chamseddine

A FORM program which is used to efficiently expand in components pure spinor superfield expressions of kinematic factors is presented and comments on how it works are made. It is highly customizable using the standard features of FORM and…

High Energy Physics - Theory · Physics 2010-07-29 Carlos R. Mafra

We apply the supplementation trick [26] to the Green-Schwarz superstring. For type IIB theory both first and second class constraints are covariantly separated and then arranged into irreducible sets in the initial formulation. For N=1…

High Energy Physics - Theory · Physics 2009-11-07 A. A. Deriglazov

We propose a new formulation of the $D=3$ type II superstring which is manifestly invariant under both target-space $N=2$ supersymmetry and worldsheet $N=(1,1)$ super reparametrizations. This gives rise to a set of twistor (commuting…

High Energy Physics - Theory · Physics 2009-10-22 A. Galperin , E. Sokatchev

The self-duality of the N=1 supersymmetric Born--Infeld action implies a double self-duality of the tensor multiplet square-root action when the scalar and the antisymmetric tensor are interchanged via Poincare' duality. We show how this…

High Energy Physics - Theory · Physics 2015-06-11 S. Ferrara , A. Sagnotti , A. Yeranyan

We construct non-critical pure spinor superstrings in two, four and six dimensions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the…

High Energy Physics - Theory · Physics 2009-11-11 Ido Adam , Pietro Antonio Grassi , Luca Mazzucato , Yaron Oz , Shimon Yankielowicz

Classical BRST invariance in the pure spinor formalism for the open superstring is shown to imply the supersymmetric Born-Infeld equations of motion for the background fields. These equations are obtained by requiring that the left and…

High Energy Physics - Theory · Physics 2011-07-19 Nathan Berkovits , Vladimir Pershin

We construct a kappa-symmetric Green-Schwarz action for type IIA string theory on AdS_2. As a candidate holographic dual, we consider superconformal matrix quantum mechanics, given by the Marinari-Parisi model with vanishing or logarithmic…

High Energy Physics - Theory · Physics 2007-05-23 Herman Verlinde

We describe a systematic way of the generalization, to models with non-linear duality, of the space-time covariant and duality-invariant formulation of duality-symmetric theories in which the covariance of the action is ensured by the…

High Energy Physics - Theory · Physics 2015-06-05 Paolo Pasti , Dmitri Sorokin , Mario Tonin

The superstring is quantized in a manner which manifestly preserves a U(5) subgroup of the (Wick-rotated) ten-dimensional super-Poincar\'e invariance. This description of the superstring contains critical N=2 worldsheet superconformal…

High Energy Physics - Theory · Physics 2009-10-31 Nathan Berkovits

We construct superstring theories that obey the new supersymmetry algebra {Q_a , Q_b}=\gamma_{ab}^{mn} P_{1m} P_{2n}, in a Green-Schwarz formalism, with kappa supersymmetry also of the new type. The superstring is in a system with a…

High Energy Physics - Theory · Physics 2016-08-25 Itzhak Bars , Cemsinan Deliduman

We construct the type IIA Green-Schwarz superstring action on a ten-dimensional IIA plane wave background with 24 supersymmetries keeping the full 32 fermionic coordinates. Starting from the symmetry superalgebra for the maximally…

High Energy Physics - Theory · Physics 2015-06-04 Jaemo Park , Hyeonjoon Shin

A superspace with manifest T-duality including Ramond-Ramond gauge fields is presented. The superspace is defined by the double nondegenerate super-Poincare algebras where Ramond-Ramond charges are introduced by central extension. This…

High Energy Physics - Theory · Physics 2015-06-23 Machiko Hatsuda , Kiyoshi Kamimura , Warren Siegel

We present a method to study the equivalence at the semiclassical level of the Green-Schwarz and pure spinor formulations of String Theory in AdS(5) x S(5). This method provides a clear separation of the physical and unphysical sectors of…

High Energy Physics - Theory · Physics 2015-06-15 Mario Tonin

Using the U(4) formalism developed ten years ago, the worldsheet action for the superstring in Ramond-Ramond plane wave backgrounds is expressed in a manifestly N=(2,2) superconformally invariant manner. This simplifies the construction of…

High Energy Physics - Theory · Physics 2009-11-07 Nathan Berkovits , Juan Maldacena

We construct an iterative procedure to compute the vertex operators of the closed superstring in the covariant formalism given a solution of IIA/IIB supergravity. The manifest supersymmetry allows us to construct vertex operators for any…

High Energy Physics - Theory · Physics 2009-11-10 P. A. Grassi , L. Tamassia

We revisit the work by Volkov and Soroka on spontaneously broken local supersymmetry. It is demonstrated for the first time that, for specially chosen parameters of the theory, the Volkov-Soroka action is invariant under two different local…

High Energy Physics - Theory · Physics 2023-03-28 Sergei M. Kuzenko

The manifestly SU(4)xU(1) super-Poincare invariant free-field N=2 twistor- string action for the ten-dimensional Green-Schwarz superstring is quantized using standard BRST methods. Unlike the light-cone and semi-light-cone gauge-fixed…

High Energy Physics - Theory · Physics 2009-10-22 Nathan Berkovits

In this paper some quite simple examples of applications of the zeta-function regularization to superstring theories are presented. It is shown that the Virasoro anomaly in the BRST formulation of (super)strings can be directly computed…

High Energy Physics - Theory · Physics 2007-05-23 Lubos Motl

The consistent description of unstable particles, renormalons, or other Schwinger--Dyson-type of solutions within the framework of perturbative gauge field theories necessitates the definition and resummation of off-shell Green's functions,…

High Energy Physics - Phenomenology · Physics 2011-08-17 Joannis Papavassiliou , Apostolos Pilaftsis
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