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We generalize to the eleven-dimensional superparticle Berkovits' prescription for loop computations in the pure spinor approach to covariant quantization of the superstring. Using these ten- and eleven-dimensional results, we compute…

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

We derive, using the pure-spinor formalism, the complete -- including the fermions -- four-point effective action of both type II superstrings to all orders in $\alpha'$, at tree level in string loops. We find that, in the quartic-field…

High Energy Physics - Theory · Physics 2009-02-27 Giuseppe Policastro , Dimitrios Tsimpis

We demonstrate that in addition to the usual fourth-rank superfield $(W_{a b c d})$ which describes the on-shell theory, a spinor superfield $(J_\a )$ can be introduced into the 11D geometrical tensors with engineering dimensions less or…

High Energy Physics - Theory · Physics 2012-08-27 Hitoshi Nishino , S. James Gates,

The $D=11$ pure spinor superparticle has been shown to describe linearized $D=11$ supergravity in a manifestly covariant way. A number of authors have proposed that its correlation functions be used to compute amplitudes. The use of the…

High Energy Physics - Theory · Physics 2019-10-02 Nathan Berkovits , Eduardo Casali , Max Guillen , Lionel Mason

We study supersymmetry conditions for the heterotic pure superstring preserving and N=1 supersymmetry in four dimensions directly from the curved superspace defined by the Berkovits-Howe constraints.

High Energy Physics - Theory · Physics 2022-11-08 Osvaldo Chandia , Brenno Carlini Vallilo

In the paper the nilpotent conditions of BRST operator for new superconformal string model were found. This string includes anticommutation $2-d$ fields additional to the standard Neveu-Schwarz superconformal set which carry quark quantum…

High Energy Physics - Theory · Physics 2007-05-23 V. A. Kudryavtsev

Generalised Complex Geometry provides a natural interpretation of the $\mathcal{N}=1$ supersymmetry conditions for warped solutions of type II supergravity as differential equations on polyforms on the internal manifold. Written in this…

High Energy Physics - Theory · Physics 2024-06-18 Vincent Menet

We construct a Neveu-Schwarz-Ramond superstring model which is invariant under supersymmetric U(1)_V * U(1)_A gauge transformations as well as the super-general coordinate, the super local Lorentz and the super-Weyl transformations on the…

High Energy Physics - Theory · Physics 2009-11-10 Takuya Tsukioka , Yoshiyuki Watabiki

We compute the macroscopic entropy of the supersymmetric rotating dyonic strings carrying linear momentum in 6D (1,0) supergravity with curvature squared corrections. Our calculation is based on Sen's entropy function formalism applied to…

High Energy Physics - Theory · Physics 2021-01-28 Yi Pang

We derive harmonic superspaces for N=2,3,4 SYM theory in four dimensions from superstring theory. The pure spinors in ten dimensions are dimensionally reduced and yield the harmonic coordinates. Two anticommuting BRST charges implement…

High Energy Physics - Theory · Physics 2009-11-10 P. A. Grassi , P. van Nieuwenhuizen

This thesis deals with the two duality symmetries of N=2 D=10 supergravity theories that are descendant from the full superstring theory: fermionic T-duality and U-duality. The fermionic T-duality transformation is applied to the D-brane…

High Energy Physics - Theory · Physics 2012-01-04 Ilya Bakhmatov

The lambda deformation of the pure spinor formalism of the superstring in the $AdS_{5}\times S^{5}$ background is introduced. It is shown that the deformation preserves the integrability as well as the one-loop conformal invariance of its…

High Energy Physics - Theory · Physics 2019-10-21 Héctor A. Benítez , David M. Schmidtt

We consider the bosonic sectors of supergravity theories in ten and eleven dimensions which correspond to the low energy limits of string theories and M-theory. The solutions of supergravity field equations are known as supergravity…

High Energy Physics - Theory · Physics 2016-05-02 Ümit Ertem

We discuss the continuous and infinitesimal gauge, supergauge, reparameterization, nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetries and derive corresponding nilpotent charges for the one (0+1)-dimensional (1D) massive…

High Energy Physics - Theory · Physics 2020-08-25 A. Tripathi , B. Chauhan , A. K. Rao , R. P. Malik

The BRST invariance of the open pure spinor superstring is examined in the presence of background superfields on a Dp-brane. We note that the background superfields introduced in this paper depend on boundary fermions. The BRST invariance…

High Energy Physics - Theory · Physics 2023-08-16 Ryota Fujii , Sota Hanazawa , Hiraki Kanehisa , Makoto Sakaguchi

An action for the ten-dimensional Green-Schwarz superstring with N=2 worldsheet superconformal invariance has recently been used to calculate superstring scattering amplitudes and prove their finiteness. In this paper, it is shown that the…

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

We construct supergravity theories in twelve and thirteen dimensions with the respective signatures (10,2) and (11,2) with some technical details. Starting with N=1 supergravity in 10+2 dimensions coupled to Green-Schwarz superstring, we…

High Energy Physics - Theory · Physics 2009-10-31 Hitoshi Nishino

We use Pure Spinor string theory to construct suitable kinematical factors which explicitly satisfy the Kleiss-Kuijf (KK) relations. Using the formula conceived by Bern et al. and employed by us for 4- and 5-point amplitudes in a previous…

High Energy Physics - Theory · Physics 2011-11-03 P. A. Grassi , A. Mezzalira , L. Sommovigo

Using the pure spinor formalism for the superstring, the vertex operator for the first massive states of the open superstring is constructed in a manifestly super-Poincar\'e covariant manner. This vertex operator describes a massive…

High Energy Physics - Theory · Physics 2009-11-07 Nathan Berkovits , Osvaldo Chandia

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