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By extending the six-dimensional hybrid formalism for the superstring to include $d=6$ $\mathcal{N}=1$ superspace variables along with unconstrained bosonic ghost fields, we construct a manifestly spacetime supersymmetric vertex operator…

High Energy Physics - Theory · Physics 2025-05-27 Cassiano A. Daniel

We present a compact expression for a coherent vertex operator in superstring theory, in the Neveu-Schwarz sector, that can be easily extended to the Ramond sector by supersymmetric transformations in target space. We give also an explicit…

High Energy Physics - Theory · Physics 2020-06-24 Alice Aldi , Maurizio Firrotta

The 11D pure spinor worldline has been proved to successfully describe the physical states of 11D supergravity in a manifestly super-Poincar\'e covariant fashion. Within this framework, the computation of scattering amplitudes requires the…

High Energy Physics - Theory · Physics 2026-01-08 Max Guillen , Marcelo dos Santos , Eggon Viana

We study the action of picture-changing and spectral flow operators on a ground ring of ghost number zero operators in the chiral BRST cohomology of the closed N=2 string and describe an infinite set of symmetry charges acting on physical…

High Energy Physics - Theory · Physics 2016-12-28 Olaf Lechtenfeld , Alexander D. Popov

We analyze open string vertex operators describing connection gauge fields for spin 3 in Vasiliev's frame-like formalism and perform their extended BRST analysis. Gauge symmetry transformations, generalized zero torsion constraints relating…

High Energy Physics - Theory · Physics 2013-05-30 Seungjin Lee , Dimitri Polyakov

We show that there is (p-1)(p'-1) dimensional semi-relative BRST cohomology at each non-positive ghost number in the (p,p') minimal conformal field theory coupled to two dimensional quantum gravity. These closed string states are related to…

High Energy Physics - Theory · Physics 2009-10-07 Shamit Kachru

We study the ghost sector of vacuum string field theory where the BRST operator Q is given by the midpoint insertion proposed by Gaiotto, Rastelli, Sen and Zwiebach. We introduce a convenient basis of half-string modes in terms of which Q…

High Energy Physics - Theory · Physics 2009-11-07 Robertus Potting , Joris Raeymaekers

String theory on D-brane backgrounds is open-closed string theory. Given the relevance of this fact, we give details and elaborate upon our earlier construction of oriented open-closed string field theory. In order to incorporate explicitly…

High Energy Physics - Theory · Physics 2009-10-30 Barton Zwiebach

We construct analytic solutions in cubic open superstring field theory at higher superconformal ghost numbers.The solutions are the pure ghost ones and are given by combinations of Bell polynomials of bosonized superconformal ghost fields…

High Energy Physics - Theory · Physics 2014-10-08 Dimitri Polyakov

We provide an alternative compact expression for the 11D pure spinor b-ghost by introducing a new set of negative ghost number operators made out of non-minimal pure spinor variables. Using the algebraic properties satisfied by these…

High Energy Physics - Theory · Physics 2023-04-05 Max Guillen

We study $c<1$ matter coupled to gravity in the Coulomb gas formalism using the double cohomology of the string BRST and Felder BRST charges. We find that states outside the primary conformal grid are related to the states of non-zero ghost…

High Energy Physics - Theory · Physics 2010-11-01 S. Govindarajan , T. Jayaraman , V. John , P. Majumdar

We study the interactions of the discrete states with nonzero ghost number in $c=1$ two-dimensional ($2D$) quantum gravity. By using the vertex operator representations, it is shown that their interactions are given by the structure…

High Energy Physics - Theory · Physics 2015-06-26 Nobuyoshi Ohta , Hisao Suzuki

Using the data of eigenvalues and eigenvectors of Neumann matrices in the 3-string vertex, we prove analytically that the ghost kinetic operator of vacuum string field theory obtained by Hata and Kawano is equal to the ghost operator…

High Energy Physics - Theory · Physics 2009-11-07 Kazumi Okuyama

The gauge-fixing problem of modified cubic open superstring field theory is discussed in detail both for the Ramond and Neveu-Schwarz sectors in the Batalin-Vilkovisky (BV) framework. We prove for the first time that the same form of action…

High Energy Physics - Theory · Physics 2012-03-03 Maiko Kohriki , Taichiro Kugo , Hiroshi Kunitomo

The $\Delta$-operator of the Batalin-Vilkovisky formalism is the Hamiltonian BRST charge of Abelian shift transformations in the ghost momentum representation. We generalize this $\Delta$-operator, and its associated hierarchy of…

High Energy Physics - Theory · Physics 2009-10-28 J. Alfaro , P. H. Damgaard

We investigate the vertex operators of the supergravity multiplet in IIB(IKKT) matrix model by calculating the disk amplitudes, exploiting the technique of conformal field theory. The vertex operators of IIB matrix model are given as the…

High Energy Physics - Theory · Physics 2009-06-16 Yoshihisa Kitazawa , Toshikazu Negi

A new procedure was recently proposed for constructing massless Type IIB vertex operators in the pure spinor formalism. Instead of expressing these closed string vertex operators as left-right products of open string vertex operators, they…

High Energy Physics - Theory · Physics 2019-12-16 Lucas N. S. Martins

We construct a class of nilpotent operators using the BRST current and ghost fields in superstring theory. The operator can be realized in cubic superstring field theory as a kinetic operator in the background of an identity-based solution.…

High Energy Physics - Theory · Physics 2015-05-30 Shoko Inatomi , Isao Kishimoto , Tomohiko Takahashi

The OPE between the composite $b$ ghost and the unintegrated vertex operator for massless states of the pure spinor superstring is computed and shown to reproduce the structure of the bosonic string result. The vanishing of the double pole…

High Energy Physics - Theory · Physics 2021-03-31 Osvaldo Chandia , Brenno Carlini Vallilo

We study two and three-point tree-level amplitudes of open strings. These amplitudes are reduced from higher-point correlation functions by using mostly BRST exact operators for gauge fixing. For simplicity, we focus on an open string…

High Energy Physics - Theory · Physics 2021-09-29 Shigenori Seki , Tomohiko Takahashi