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We study possible smooth deformations of Generalized Free Conformal Field Theories in arbitrary dimensions by exploiting the singularity structure of the conformal blocks dictated by the null states. We derive in this way, at the first non…

High Energy Physics - Theory · Physics 2017-02-15 Ferdinando Gliozzi , Andrea Guerrieri , Anastasios C. Petkou , Congkao Wen

We analyze the properties of the non-minimal pure spinor formalism. We show that Siegel gauge on massless vertex operators implies the primary field constraint and the level-matching condition in closed string theory by reconstructing the…

High Energy Physics - Theory · Physics 2009-05-29 Pietro Antonio Grassi , Pierre Vanhove

The physical states of D=5 holomorphic Chern-Simons theory correspond to on-shell D=10 open superstring states in the cohomology of $q_+$, where $q_+$ is one of the 16 spacetime supersymmetry generators. Scattering amplitudes of these…

High Energy Physics - Theory · Physics 2023-03-22 Nathan Berkovits

We have calculated the masses of bound states numerically in N = 1 supersymmetric Yang-Mills theory with gauge group SU(2). Using the suitably optimised variational method with an operator basis consisting of smeared Wilson loops and…

High Energy Physics - Lattice · Physics 2019-05-22 Sajid Ali , Georg Bergner , Henning Gerber , Simon Kuberski , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior

We construct a vertex operator which describes an emission of the ground-state tachyon of the closed string out of the noncommutative open string. Such a vertex operator is shown to exist only when the momentum of the closed-string tachyon…

High Energy Physics - Theory · Physics 2009-11-07 Akira Kokado , Gaku Konisi , Takesi Saito

An affine vertex operator construction at arbitrary level is presented which is based on a completely compactified chiral bosonic string whose momentum lattice is taken to be the (Minkowskian) affine weight lattice. This construction is…

High Energy Physics - Theory · Physics 2009-10-30 R. W. Gebert , H. Nicolai

Although the AdS_5xS^5 worldsheet action is not quadratic, some features of the pure spinor formalism are simpler in an AdS_5xS^5 background than in a flat background. The BRST operator acts geometrically, the left and right-moving pure…

High Energy Physics - Theory · Physics 2009-09-28 Nathan Berkovits

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

Building on the recent discovery of the first candidate black hole operator in $\mathcal{N}=4$ super-Yang-Mills, we explore the near-supersymmetric aspects of the theory that capture lightly excited, highly stringy black holes. We extend…

High Energy Physics - Theory · Physics 2024-04-24 Chi-Ming Chang , Li Feng , Ying-Hsuan Lin , Yi-Xiao Tao

We review aspects of quantisation of the 11-dimensional supermembrane world volume theory. We explicitly construct vertex operators for the massless states and study interactions of supermembranes. The open supermembrane and its vertex…

High Energy Physics - Theory · Physics 2011-07-19 Arundhati Dasgupta , Hermann Nicolai , Jan Plefka

We calculate the scaling dimensions of operators with large global charge and spin in 2+1 dimensional conformal field theories. By the state-operator correspondence, these operators correspond to superfluids with vortices and can be…

High Energy Physics - Theory · Physics 2018-02-19 Gabriel Cuomo , Anton de la Fuente , Alexander Monin , David Pirtskhalava , Riccardo Rattazzi

We construct the higher-spin massive fermionic fields in 2+1 dimensions. Their field equations and propagators are derived from first principle. For fields with j>1/2, complications arise from the non-linear behaviour of the boost…

High Energy Physics - Theory · Physics 2015-04-27 Cheng-Yang Lee

We introduce notions of open-string vertex algebra, conformal open-string vertex algebra and variants of these notions. These are ``open-string-theoretic,'' ``noncommutative'' generalizations of the notions of vertex algebra and of…

Quantum Algebra · Mathematics 2009-11-10 Yi-Zhi Huang , Liang Kong

We construct, for spin $0,1,2$ tensor fields on S$^d$, a set of ladder operators that connect the distinct UIRs of SO$(d+1)$. This is achieved by relying on the conformal Killing vectors of S$^d$. For the case of spinning fields, the ladder…

High Energy Physics - Theory · Physics 2024-10-30 Vasileios A. Letsios , Matías N. Sempé , Guillermo A. Silva

We investigate the special case of quintic interactions for massless higher spin gauge fields using the string-theoretic vertex operator construction for higher spin gauge fields in Vasiliev's frame-like formalism. We compute explicitly the…

High Energy Physics - Theory · Physics 2016-03-23 Dimitri Polyakov

Based on a novel first class algebra, we develop an extension of the pure spinor (PS) formalism of Berkovits, in which the PS constraints are removed. By using the homological perturbation theory in an essential way, the BRST-like charge…

High Energy Physics - Theory · Physics 2009-11-07 Yuri Aisaka , Yoichi Kazama

We study Yang-Baxter equations with orthosymplectic supersymmetry. We extend a new approach of the construction of the spinor and metaplectic $\hat{\cal R}$-operators with orthogonal and symplectic symmetries to the supersymmetric case of…

Mathematical Physics · Physics 2021-03-17 A. P. Isaev , D. Karakhanyan , R. Kirschner

We study the spectrum of anomalous dimensions of operators dual to giant graviton branes. The operators considered belong to the su$(2|3)$ sector of ${\cal N}=4$ super Yang-Mills theory, have a bare dimension $\sim N$ and are a linear…

High Energy Physics - Theory · Physics 2020-12-02 Robert de Mello Koch , Jia-Hui Huang , Minkyoo Kim , Hendrik J. R. Van Zyl

We bootstrap the Veneziano superstring amplitude in 10 dimensions from the bottom-up. Starting with the most general maximally supersymmetric Yang-Mills EFT, we input information about the lowest-lying massive states, which we assume…

High Energy Physics - Theory · Physics 2024-06-07 Justin Berman , Henriette Elvang

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
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