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In this article we establish the relationship between fermionic T-duality and momenta noncommuativity. This is extension of known relation between bosonic T-duality and coordinate noncommutativity. The case of open string propagating in…

High Energy Physics - Theory · Physics 2015-05-27 Bojan Nikolic , Branislav Sazdovic

We investigate how T-duality and solving the boundary conditions of the open bosonic string are related. We start by considering the T-dualization of the open string moving in the constant background. We take that the coordinates of the…

High Energy Physics - Theory · Physics 2019-10-21 Ljubica Davidović , Branislav Sazdović

We investigate effects of fermionic T-duality on type II superstring in presence of Ramond-Ramond (RR) field that has infinitesimal linear dependence on bosonic coordinate $x^\mu$. Other fields are assumed to be constant. Procedure that we…

High Energy Physics - Theory · Physics 2024-01-24 Bojan Nikolic , Danijel Obric

We investigate the open string propagation in the weakly curved background with the Kalb-Ramond field containing an infinitesimal part, linear in coordinate. Solving the Neumann boundary conditions, we find the expression for the space-time…

High Energy Physics - Theory · Physics 2015-06-05 Lj. Davidović , B. Sazdović

In this article we present bosonic T-dualization in double space of the type II superstring theory in pure spinor formulation. We use the action with constant background fields obtained from the general case under some physically and…

High Energy Physics - Theory · Physics 2019-10-08 B. Nikolić , B. Sazdović

Recent work on the action of T duality on Dirichlet-branes is generalized to the case in which the open string satisfies boundary conditions that are neither Neumann nor Dirichlet. This is achieved by implementing T duality as a canonical…

High Energy Physics - Theory · Physics 2009-10-30 G. Amelino-Camelia , N. E. Mavromatos

In this paper we consider non-commutativity that arises from T-duality of bosonic coordinates of type II superstring in presence of coordinate dependent Ramond-Ramond field. Action with such choice of the background fields is not…

High Energy Physics - Theory · Physics 2024-01-24 D. Obric , B. Nikolic

We extend our investigations of the open string propagation in the weakly curved background to the case when Kalb-Ramond field, beside the infinitesimal term linear in coordinate $B_{\mu\nu\rho}x^\rho$, contains the constant term…

High Energy Physics - Theory · Physics 2011-11-16 Ljubica Davidović , Branislav Sazdović

The appearance of non(anti)commutativity in superstring theory, satisfying the Neveu-Schwarz boundary conditions is discussed in this paper. Both an open free superstring and also one moving in a background antisymmetric tensor field are…

High Energy Physics - Theory · Physics 2009-02-09 Chandrasekhar Chatterjee , Sunandan Gangopadhyay , Arindam Ghosh Hazra , Saurav Samanta

We study the problem of imposing Dirichlet-like boundary conditions along a static spatial curve, in a planar Noncommutative Quantum Field Theory model. After constructing interaction terms that impose the boundary conditions, we discuss…

High Energy Physics - Theory · Physics 2014-11-21 C. D. Fosco , P. Scuracchio

We discuss T-duality for open strings in general background fields both in the functional integral formulation as well as in the language of canonical transformations. The Dirichlet boundary condition in the dual theory has to be treated as…

High Energy Physics - Theory · Physics 2009-10-30 H. Dorn , H. -J. Otto

Here we understand \textit{dimensional reduction} as a procedure to obtain an effective model in $D-1$ dimensions that is related to the original model in $D$ dimensions. To explore this concept we use both a self-interacting fermionic…

High Energy Physics - Theory · Physics 2019-07-24 E. Cavalcanti , C. A. Linhares , J. A. Lourenço , A. P. C. Malbouisson

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

In this article we offer the interpretation of the fermionic T-duality of the type II superstring theory in double space. We generalize the idea of double space doubling the fermionic sector of the superspace. In such doubled space…

High Energy Physics - Theory · Physics 2017-04-25 Bojan Nikolic , Branislav Sazdovic

In this paper we will consider noncommutativity that arises from bosonic T-dualization of type II superstring in presence of Ramond-Ramond (RR) field, which linearly depends on the bosonic coordinates $x^\mu$. The derivative of the RR field…

High Energy Physics - Theory · Physics 2024-01-24 Bojan Nikolic , Branislav Sazdovic , Danijel Obric

Field transformation rules of the standard fermionic T-duality require fermionic isometries to anticommute, which leads to complexification of the Killing spinors and results in complex valued dual backgrounds. We generalize the field…

High Energy Physics - Theory · Physics 2023-01-03 Lev Astrakhantsev , Ilya Bakhmatov , Edvard T. Musaev

We consider a theory of an open string moving in a weakly curved background, composed of a constant metric and a linearly coordinate dependent Kalb-Ramond field with an infinitesimal field strength. We find its T-dual using the generalized…

High Energy Physics - Theory · Physics 2017-04-25 Ljubica Davidović

We investigate the effect of T-duality on noncommutativity. Starting with open strings ending on a D2-brane wrapped on a $T^2$ torus in the presence of a Kalb Ramond field, we consider Buscher transformations on the coordinates and…

High Energy Physics - Theory · Physics 2010-05-28 C. A. Ballon Bayona , Nelson R. F. Braga , Rafael D'Andrea

We study the UV dynamics of $\mu T \bar T$ deformed conformal field theories formulated as a deformation of generating functions. We explore the issue of non-perturbative completion of the $\mu$ expansion by deriving an integral expression…

High Energy Physics - Theory · Physics 2018-12-26 William Cottrell , Akikazu Hashimoto

We study the relation between boundary conditions and categorical symmetries of two-dimensional fermionic conformal field theories. We determine all anomaly-free invertible global symmetries of two free complex Weyl fermions, which take the…

High Energy Physics - Theory · Physics 2026-05-15 Guillermo Arias-Tamargo , Philip Boyle Smith , Rishi Mouland , Maxwell L. Velásquez Cotini Hutt
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