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We review the polynomial structure of the topological string partition functions as solutions to the holomorphic anomaly equations. We also explain the connection between the ring of propagators defined from special K\"ahler geometry and…

高能物理 - 理论 · 物理学 2015-09-09 Jie Zhou

We determine the complete spacetime action to first order in $\alpha'$ for the massless fields of bosonic string theory compactified on a $d$-dimensional torus. A fully systematic procedure is developed that brings the action into a minimal…

高能物理 - 理论 · 物理学 2020-03-11 Camille Eloy , Olaf Hohm , Henning Samtleben

In string theory, the concept of T-duality between two principal U(1)-bundles E_1 and E_2 over the same base space B, together with cohomology classes $h_1\in H^3(E_1)$ and $h_2\in H^3(E_2)$, has been introduced. One of the main virtues of…

几何拓扑 · 数学 2010-11-26 Ulrich Bunke , Thomas Schick

Nonrelativistic string theory in flat spacetime is described by a two-dimensional quantum field theory with a nonrelativistic global symmetry acting on the worldsheet fields. Nonrelativistic string theory is unitary, ultraviolet complete…

高能物理 - 理论 · 物理学 2018-12-05 Eric Bergshoeff , Jaume Gomis , Ziqi Yan

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…

高能物理 - 理论 · 物理学 2009-10-30 G. Amelino-Camelia , N. E. Mavromatos

It was recently shown that the theory obtained by deforming a general two dimensional conformal theory by the irrelevant operator $T\bar T$ is solvable. In the context of holography, a large class of such theories can be obtained by…

高能物理 - 理论 · 物理学 2020-07-15 Amit Giveon , Nissan Itzhaki , David Kutasov

We use the canonical description of T-duality as well as the formulation of T-duality in terms of chiral currents to investigate the geometric and non-geometric faces of closed string backgrounds originating from principal torus bundles…

高能物理 - 理论 · 物理学 2016-01-20 Ioannis Bakas , Dieter Lust

We study the dynamics of strings with non-zero winding number around T-duality defects. We deduce that the physics near the core of such non-geometric objects involves winding modes that are not captured by the supergravity approximation,…

高能物理 - 理论 · 物理学 2017-08-02 Dieter Lust , Erik Plauschinn , Valentí Vall Camell

We study T-duality with non-zero components of NSNS two form field along directions we dualize with the help of canonical formalism. As a result of this procedure we determine generalized Buscher's rules. We also apply the same procedure to…

高能物理 - 理论 · 物理学 2019-12-02 J. Kluson

In Sen's formulation of self-dual fields one finds two closed forms: $H^{(g)}$ and $H^{(s)}$. Only the former couples to sources and the spacetime metric. The latter has the wrong sign kinetic term but decouples and hence might be regarded…

高能物理 - 理论 · 物理学 2023-04-26 Neil Lambert

Duality, the equivalence between seemingly distinct quantum systems, is a curious property that has been known for at least three quarters of a century. In the past two decades it has played a central role in mapping out the structure of…

高能物理 - 理论 · 物理学 2015-07-28 Joseph Polchinski

The evidence for string/string-duality can be extended from the matching of the vector couplings to gravitational couplings. In this note this is shown in the rank three example, the closest stringy analog of the Seiberg/Witten-setup, which…

高能物理 - 理论 · 物理学 2009-10-28 Gottfried Curio

Poisson-Lie (PL) T-duality has received much attention over the last five years in connection with integrable string worldsheet theories. At the level of the worldsheet, the algebraic structure underpinning these connections is made…

高能物理 - 理论 · 物理学 2019-04-24 Saskia Demulder , Falk Hassler , Daniel C. Thompson

We study mass-deformed N=2 gauge theories from various points of view. Their partition functions can be computed via three dual approaches: firstly, (p,q)-brane webs in type II string theory using Nekrasov's instanton calculus, secondly,…

高能物理 - 理论 · 物理学 2015-06-17 Stefan Hohenegger , Amer Iqbal

Integrality properties of partial sums over irreducible representations, along columns of character tables of finite groups, were recently derived using combinatorial topological string theories (CTST). These CTST were based on…

高能物理 - 理论 · 物理学 2024-09-11 Adrian Padellaro , Rajath Radhakrishnan , Sanjaye Ramgoolam

We ask to what extent are the higher-derivative corrections of string theory constrained by T-duality. The seminal early work by Meissner tests T-duality by reduction to one dimension using a distinguished choice of field variables in which…

高能物理 - 理论 · 物理学 2016-05-04 Olaf Hohm , Barton Zwiebach

It has recently pointed out that a four-dimensional analog of Chern-Simons theory provides an elegant framework for understanding integrable models with spectral parameters. The goal of this short note is to better understand the relation…

高能物理 - 理论 · 物理学 2020-01-13 Masahito Yamazaki

Working within the path-integral framework we first establish a duality between the partion functions of two $U(1)$ gauge theories with a theta term in $d=4$ space-time dimensions. Then, after a dimensional reduction to $d=3$ dimensions we…

高能物理 - 理论 · 物理学 2021-09-22 Enrique F. Moreno , Fidel A. Schaposnik

Target space duality (T duality), which interchanges Kaluza--Klein and winding-mode excitations of the compactified heterotic string, is realized as a symmetry of a world-sheet action. Axion-dilaton duality (S duality), a conjectured…

高能物理 - 理论 · 物理学 2009-09-15 John H. Schwarz , Ashoke Sen

We explore some of the global aspects of duality transformations in String Theory and Field Theory. We analyze in some detail the equivalence of dual models corresponding to different topologies at the level of the partition function and in…

高能物理 - 理论 · 物理学 2009-10-22 E. Alvarez , L. Alvarez-Gaume , J. L. F. Barbon , Y. Lozano