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A manifestly T-dual invariant formulation of bosonic string theory is discussed here. It can be obtained by making both the usual string compact coordinates and their duals explicitly appear, on the same footing, in the world-sheet action.…

High Energy Physics - Theory · Physics 2016-02-09 Franco Pezzella

Recently, the superstring was covariantly quantized using the BRST-like operator $Q = \oint \lambda^\alpha d_\alpha$ where $\lambda^\alpha$ is a pure spinor and $d_\alpha$ are the fermionic Green-Schwarz constraints. By performing a field…

High Energy Physics - Theory · Physics 2009-11-07 Nathan Berkovits

The ten-dimensional superparticle is covariantly quantized by constructing a BRST operator from the fermionic Green-Schwarz constraints and a bosonic pure spinor variable. This same method was recently used for covariantly quantizing the…

High Energy Physics - Theory · Physics 2010-02-03 Nathan Berkovits

We show how the space spinor formalism for 2-component spinors can be used to construct estimates for spinor fields satisfying first order equations. We discuss the connection of the approach presented in this article with other strategies…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Mariem Magdy , Juan A. Valiente Kroon

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 review the coset construction of conformal field theories; the emphasis is on the construction of the Hilbert spaces for these models, especially if fixed points occur. This is applied to the $N=2$ superconformal cosets constructed by…

High Energy Physics - Theory · Physics 2009-10-22 Christoph Schweigert

An explicit operator mapping in the form of a similarity transformation is constructed between the RNS formalism and an extension of the pure spinor formalism (to be called EPS formalism) recently proposed by the present authors. Due to the…

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

Previous studies of the type IIB superstring in an ${AdS_5 \times S^5}$ background are based on a description of the superspace geometry as the quotient space $PSU(2,2|4)/SO(4,1) \times SO(5)$. This paper develops an alternative approach in…

High Energy Physics - Theory · Physics 2016-08-01 John H. Schwarz

As part of program to quantize superstrings in AdS_5 x S^5 background in light cone approach we find the explicit form of the corresponding Green-Schwarz action in fermionic light-cone kappa-symmetry gauge. The resulting action is quadratic…

High Energy Physics - Theory · Physics 2009-09-17 R. R. Metsaev , A. A. Tseytlin

We write down a general action principle for spinning strings in 2+1 dimensional space-time without introducing Grassmann variables. The action is written solely in terms of coordinates taking values in the 2+1 Poincare group, and it has…

High Energy Physics - Theory · Physics 2016-09-06 B. Harms , A. Stern

We construct O(D,D) invariant actions for the bosonic string and RNS superstring, using Hamiltonian methods and ideas from double field theory. In this framework the doubled coordinates of double field theory appear as coordinates on phase…

High Energy Physics - Theory · Physics 2015-12-14 Chris D. A. Blair , Emanuel Malek , Alasdair J. Routh

In this article I consider type II superstring in the pure spinor formulation with constant background fields in the context of T-dualization. First I prove that bosonic and fermionic T-dualization commute using already known T-dual…

High Energy Physics - Theory · Physics 2026-01-14 Bojan Nikolic

A formulation recently proposed [arXiv:1506.07706] as an alternative to the usual coset PSU(2,2|4)/USp(2,2)USp(4) for the superspace geometry of the Type IIB superstring on an AdS5xS5 background is shown to be a particular parametrization…

High Energy Physics - Theory · Physics 2015-06-29 W. Siegel

We demonstrate the equivalence between the worldsheet one-loop partition functions computed near classical string solutions in the Green-Schwarz and in the pure-spinor formulations of superstrings in AdS(5) x S(5). While their bosonic…

High Energy Physics - Theory · Physics 2015-06-12 Alessandra Cagnazzo , Dmitri Sorokin , Arkady A. Tseytlin , Linus Wulff

The Green-Schwarz action for an open superstring with additional boundary fermions, representing Chan-Paton factors, is studied at the classical level. The boundary geometry is described by a bundle, with fermionic fibres, over the super…

High Energy Physics - Theory · Physics 2009-11-11 P. S. Howe , U. Lindstrom , L. Wulff

A complete treatment of the (2,2) NSR string in flat (2+2) dimensional space-time is given, from the formal path integral over N=2 super Riemann surfaces to the computational recipe for amplitudes at any loop or gauge instanton number. We…

High Energy Physics - Theory · Physics 2009-10-30 Jan Bischoff , Olaf Lechtenfeld

These ICTP Trieste lecture notes review the pure spinor approach to quantizing the superstring with manifest D=10 super-Poincare invariance. The first section discusses covariant quantization of the superparticle and gives a new proof of…

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

In this article we consider simultaneous T-dualization of type II superstring action in pure spinor formulation. Simultaneous T-dualization means that we make T-dualization at the same time along some subset of initial coordinates marked by…

High Energy Physics - Theory · Physics 2019-01-04 Bojan Nikolic , Branislav Sazdovic

Using arguments based on BRST cohomology, the pure spinor formalism for the superstring in an AdS_5 x S^5 background is proven to be BRST invariant and conformally invariant at the quantum level to all orders in perturbation theory.…

High Energy Physics - Theory · Physics 2008-11-26 Nathan Berkovits

In this paper we study the pure spinor formulation of the superstring in $AdS_5\times S^5$ around point particle solutions of the classical equations of motion. As a particular example we quantize the pure spinor string in the BMN…

High Energy Physics - Theory · Physics 2015-06-19 Osvaldo Chandia , L. Ibiapina Bevilaqua , Brenno Carlini Vallilo