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We construct a sequence of nilpotent BRST charges in RNS superstring theory, based on new gauge symmetries on the worldsheet, found in this paper. These new local gauge symmetries originate from the global nonlinear space-time…

High Energy Physics - Theory · Physics 2010-01-07 Dimitri Polyakov

Quantum gravity that describes the world beyond the Planck scale should be formulated in a background-metric independent manner. Such a background-free nature can be represented as a gauge equivalency under conformal transformations, called…

High Energy Physics - Theory · Physics 2017-08-01 Ken-ji Hamada

We continue the study of physical fields for the background free 4D quantum gravity based on the Riegert-Wess-Zumino action, developed in Phys. Rev. D {\bf 85} (2012) 024028. The background free model is formulated in terms of a certain…

High Energy Physics - Theory · Physics 2013-05-30 Ken-ji Hamada

We present an integrable deformation of the $AdS_{5}\times S^{5}$ pure spinor action based on homological perturbation theory. Its equations of motion, Lax connection and BRST symmetry are discussed. The resulting model describes a pure…

High Energy Physics - Theory · Physics 2019-02-20 Hector A. Benitez , Victor O. Rivelles

Starting with a new bosonization scheme for the \beta\gamma CFT of the super-conformal ghosts, vertex operators are constructed for massless open string states in the intersecting D-brane world. These vertex operators satisfy all…

High Energy Physics - Phenomenology · Physics 2007-05-23 Huan-Xiong Yang , Mingxing Luo , Wei-Shui Xu

We study solutions of type IIB supergravity which are SL(2,R) x SU(2) x U(1)^2 invariant deformations of AdS_3 x S^3 x K3 and take the form of products of self-dual spacelike warped AdS_3 and a deformed three-sphere. One of these…

High Energy Physics - Theory · Physics 2015-05-30 Sheer El-Showk , Monica Guica

We consider the D1-D5 CFT near the orbifold point, specifically the computation of correlators involving twist sector fields using covering surface techniques. As is well known, certain twists introduce spin fields on the cover. Here we…

High Energy Physics - Theory · Physics 2016-01-13 Benjamin A. Burrington , Amanda W. Peet , Ida G. Zadeh

We extend the systematic construction of bosonic DDF operators to the light-like linear dilaton background to investigate how higher-spin string states behave beyond flat spacetime. Using previous results, we show that the…

High Energy Physics - Theory · Physics 2025-11-25 Dripto Biswas

The general fluctuations, in the form of vertex operators, for the type II superstring in the pure spinor formalism are considered. We review the construction of these vertex operators in flat space-time. We then review the type II…

High Energy Physics - Theory · Physics 2019-05-01 Osvaldo Chandia

We use Berkovits' pure spinor quantization to compute various three-point tree correlation functions in position-space for the Type IIB superstring. We solve the constraint equations for the vertex operators and obtain explicit expressions…

High Energy Physics - Theory · Physics 2009-11-07 Gautam Trivedi

I review a particular class of physical applications of Logarithmic Conformal Field Theory in strings propagating in changing (not necessarily conformal) backgrounds, namely D-brane recoil in flat or time-dependent cosmological backgrounds.…

High Energy Physics - Theory · Physics 2016-11-23 Nick E. Mavromatos

Vertex operators in string theory come in two varieties: integrated and unintegrated. Understanding both types is important for the calculation of the string theory amplitudes. The relation between them is a descent procedure typically…

High Energy Physics - Theory · Physics 2015-06-16 Osvaldo Chandia , Andrei Mikhailov , Brenno C. Vallilo

All the BRST-invariant operators in pure spinor formalism in $d=10$ can be represented as BRST commutators, such as $V=\lbrace{Q_{brst}},{{\theta_{+}}\over{\lambda_{+}}}V\rbrace$ where $\lambda_{+}$ is the U(5) component of the pure spinor…

High Energy Physics - Theory · Physics 2015-05-13 Dimitri Polyakov

We construct integrated and unintegrated vertex operators for the type II superstring using the B-RNS-GSS formalism. The construction is done in flat spacetime background for both type II superstrings and type IIB superstring in a…

High Energy Physics - Theory · Physics 2025-09-12 Osvaldo Chandia

Baxter operators are constructed for quantum spin chains with deformed $s\ell_2$ symmetry. The parallel treatment of Yang-Baxter operators for the cases of undeformed, trigonometrically and elliptically deformed symmetries presented earlier…

Mathematical Physics · Physics 2015-06-12 D. Chicherin , S. Derkachov , D. Karakhanyan , R. Kirschner

The worldsheet sigma-model of the superstring in AdS(5) x S(5) has a one-parameter family of flat connections parametrized by the spectral parameter. The corresponding Wilson line is not BRST invariant for an open contour, because the BRST…

High Energy Physics - Theory · Physics 2015-05-13 Andrei Mikhailov

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

Considering the question: how non-linear may a non-linear operator be in order to extend the linear regularization theory, we introduce the class of dilinear mappings, which covers linear, bilinear, and quadratic operators between Banach…

Numerical Analysis · Mathematics 2021-03-19 Robert Beinert , Kristian Bredies

We develop a new background independent Moyal star formalism in bosonic open string field theory. The new star product is formulated in a half-phase-space, and because phase space is independent of any background fields, the interactions…

High Energy Physics - Theory · Physics 2014-07-22 Itzhak Bars , Dmitry Rychkov

String theory on AdS$_3$ with NS-NS fluxes admits a solvable irrelevant deformation which is close to the $T\bar{T}$ deformation of the dual CFT$_2$. This consists of deforming the worldsheet action, namely the action of the…

High Energy Physics - Theory · Physics 2021-06-16 Gaston Giribet , Julio Oliva , Ricardo Stuardo