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We connect the homotopy type of simplicial moduli spaces of algebraic structures to the cohomology of their deformation complexes. Then we prove that under several assumptions, mapping spaces of algebras over a monad in an appropriate…

Algebraic Topology · Mathematics 2015-07-20 Sinan Yalin

Correlation functions can be calculated on Riemann surfaces using the operator formalism. The state in the Hilbert space of the free field theory on the punctured disc, corresponding to the Riemann surface, is constructed at infinite genus,…

High Energy Physics - Theory · Physics 2009-10-28 Simon Davis

We review recent developments in the construction of heterotic and type II string field theories and their various applications. These include systematic procedures for determining the shifts in the vacuum expectation values of fields under…

High Energy Physics - Theory · Physics 2017-11-22 Corinne de Lacroix , Harold Erbin , Sitender Pratap Kashyap , Ashoke Sen , Mritunjay Verma

We consider quintessence models within 4D effective descriptions of gravity coupled to two scalar fields. These theories are known to give rise to viable models of late-time cosmic acceleration without any need for flat potentials, and so…

High Energy Physics - Theory · Physics 2022-11-30 Max Brinkmann , Michele Cicoli , Giuseppe Dibitetto , Francisco G. Pedro

Introducing constant background fields into the noncommutative gauge theory, we first obtain a Hermitian fermion Lagrangian which involves a Lorentz violation term, then we generalize it to a new deformed canonical noncommutation relations…

High Energy Physics - Phenomenology · Physics 2015-03-03 Cui-bai Luo , Feng-yao Hou , Zhu-fang Cui , Xiao-jun Liu , Hong-shi Zong

String backgrounds, defined here as metric connections with skew-symmetric torsion and reduced holonomy, yield generalized Ricci solitons relative to the Lee vector field. By a variational argument using the string action, they are also…

Differential Geometry · Mathematics 2025-11-27 Aaron Kennon , Jeffrey Streets

Just as a symmetric surface with separating fixed locus halves into two oriented bordered surfaces, an arbitrary symmetric surface halves into two oriented symmetric half-surfaces, i.e. surfaces with crosscaps. Motivated in part by the…

Symplectic Geometry · Mathematics 2014-07-16 Penka Georgieva , Aleksey Zinger

In this paper we discuss symmetry breaking in string theory. Spacetime symmetries are implemented as inner automorphisms of the underlying superconformal algebra. Conserved currents generate unbroken spacetime symmetries. As we deform the…

High Energy Physics - Theory · Physics 2017-08-23 Ioannis Giannakis

We explore several consequences of the recently discovered intrinsic non-commutativity of the zero-mode sector of closed string theory. In particular, we illuminate the relation between T-duality and this intrinsic non-commutativity and…

High Energy Physics - Theory · Physics 2017-09-13 Laurent Freidel , Robert G. Leigh , Djordje Minic

We develop the perturbation theory of double field theory around arbitrary solutions of its field equations. The exact gauge transformations are written in a manifestly background covariant way and contain at most quadratic terms in the…

High Energy Physics - Theory · Physics 2016-02-03 Olaf Hohm , Diego Marques

The recent developments in superstring theory prompted the study of non-commutative structures in superspace. Considering bosonic and fermionic strings in a constant antisymmetric tensor background yields a non-vanishing commutator between…

High Energy Physics - Theory · Physics 2014-11-18 P. A. Grassi

Dirichlet-branes have emerged as important objects in studying nonperturbative string theory. It is important to generalize these objects to more general backgrounds other than the usual flat background. The simplest case is the linear…

High Energy Physics - Theory · Physics 2009-10-28 Miao Li

The background field method is adopted for studying the dynamics of coherent states within an interacting scalar field theory. Focusing on a coherent state that corresponds to the homogeneous condensate, the quantum depletion of the…

High Energy Physics - Theory · Physics 2022-02-23 Lasha Berezhiani , Giordano Cintia , Michael Zantedeschi

The divergences that arise in the regularized partition function for closed bosonic string theory in flat space lead to three types of perturbation series expansions, distinguished by their genus dependence. This classification of…

High Energy Physics - Theory · Physics 2010-04-06 Simon Davis

String field theories exhibit exponential suppression of interactions among the component fields at high energies due to infinite-derivative factors such as $e^{\ell^2 \Box / 2}$ in the vertices. This nonlocality has hindered the…

High Energy Physics - Theory · Physics 2025-09-18 Chih-Hao Chang , Pei-Ming Ho , I-Kwan Lee , Wei-Hsiang Shao

Supersymmetry breaking in string theory is expected to occur when moduli fields acquire non-trivial expectation values. In the early universe these fields start out displaced from their final destinations. I present some recent ideas about…

High Energy Physics - Theory · Physics 2007-05-23 R. Brustein

We investigate the problem of derivation of consistent equations of motion for the massive spin 2 field interacting with gravity within both field theory and string theory. In field theory we derive the most general classical action with…

High Energy Physics - Theory · Physics 2009-10-31 I. L. Buchbinder , V. A. Krykhtin , V. D. Pershin

The symmetries associated with the closed bosonic string partition function are examined so that the integration region in Teichmuller space can be determined. The conditions on the period matrix defining the fundamental region can be…

High Energy Physics - Theory · Physics 2009-10-28 Simon Davis

Superstring theory, models with extra dimensions and other SUSY models generically predict that the coupling constants are in fact vacuum expectation values of fields like the dilaton, moduli etc. Assuming some of these fields are light…

Astrophysics · Physics 2007-05-23 Lev Kofman

We consider classical and quantum strings in the conformally invariant background corresponding to the SL(2,R) WZWN model. This background is locally anti-de Sitter spacetime with non-vanishing torsion. Conformal invariance is expressed as…

High Energy Physics - Theory · Physics 2016-09-06 H. J. de Vega , A. L. Larsen , N. Sánchez