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In this paper we summarize our recent work about perturbative and non-perturbative effects in four-dimensional heterotic strings with $N=2$ space-time supersymmetry.

High Energy Physics - Theory · Physics 2009-10-28 G. Lopes Cardoso , D. Lust , T. Mohaupt

We review some applications of tree-level (classical) relations between gravity and gauge theory that follow from string theory. Together with $D$-dimensional unitarity, these relations can be used to perturbatively quantize gravity…

High Energy Physics - Theory · Physics 2010-11-15 Z. Bern , L. Dixon , D. C. Dunbar , A. K. Grant , M. Perelstein , J. S. Rozowsky

We calculate in dimensions $D=2+\epsilon$ and in light-cone gauge (LCG) the perturbative ${\cal O}(g^4)$ contribution to a rectangular Wilson loop in the (t,x)-plane coming from diagrams with a self-energy correction in the vector…

High Energy Physics - Theory · Physics 2009-10-31 A. Bassetto , R. Begliuomini , G. Nardelli

Extending the recent work in hep-th/9803076, we consider string perturbative expansion in the presence of D-branes and orientifold planes imbedded in orbifolded space-time. In the $\alpha'\to 0$ limit the weak coupling string perturbative…

High Energy Physics - Theory · Physics 2009-10-31 Zurab Kakushadze

We compute one-loop quantum corrections to gravitational couplings in the effective action of four-dimensional heterotic strings where supersymmetry is spontaneously broken by Scherk-Schwarz fluxes. We show that in both heterotic and type…

High Energy Physics - Theory · Physics 2017-03-08 Ioannis Florakis

We present a systematic theoretical framework for investigating first-order electromagnetic (EM) perturbations induced by gravitational waves (GWs). Beginning with the covariant Maxwell equations, we derive the complete first-order…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Lingyue Lou , Haorong Wu , Xi-Long Fan

Motivated from unified models with string origin, we analyse the constraints from duality invariance on effective supergravity models with an intermediate gauge symmetry. Requiring vanishing vacuum energy and invariance of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. K. Leontaris , N. D. Tracas

Using the linear multiplet formulation for the dilaton superfield, we construct an effective lagrangian for hidden-sector gaugino condensation in string effective field theories with arbitrary gauge groups and matter. Nonperturbative string…

High Energy Physics - Theory · Physics 2009-10-30 Pierre Binetruy , Mary K. Gaillard , Yi-Yen Wu

The eigenvalues of Wilson loop matrices in SU(N) gauge theories in dimensions 2,3,4 at infinite N are supported on a small arc on the unit circle centered at $z=1$ for small loops, but expand to the entire unit circle for large loops. These…

High Energy Physics - Theory · Physics 2014-11-20 H. Neuberger

We study the perturbative approach to the Wilsonian integration of noncommutative gauge theories in the matrix representation. We begin by motivating the study of noncommutative gauge theories and reviewing the matrix formulation. We then…

High Energy Physics - Theory · Physics 2007-05-23 Eric Nicholson

We consider the space of Siegel modular forms of genus $g$ of weight two relative to the main congruence subgroup of level 2 and to Igusa's group $\Gamma_g(4, 8)$ and $\Gamma_g(2,4)$.One of the main results of this paper is that in the case…

Number Theory · Mathematics 2025-04-03 Eberhard Freitag , Riccardo Salvati Manni

In two remarkable recent papers, hep-th/0610248 and hep-th/0610251, the complete planar perturbative expansion was proposed for the universal function of the coupling, f(g), appearing in the dimensions of high-spin operators of the N=4 SYM…

High Energy Physics - Theory · Physics 2008-11-26 M. K. Benna , S. Benvenuti , I. R. Klebanov , A. Scardicchio

We conjecture that the Fourier coefficients of a degree three Siegel form, $1/\sqrt{\chi_{18}}$, count the degeneracy of three-center BPS bound states in type II string theory compactified on $K3 \times T^2$. We provide evidence for our…

High Energy Physics - Theory · Physics 2017-12-07 Frederik Denef , Shamit Kachru , Zimo Sun , Arnav Tripathy

In six spacetime dimensions, the heterotic string is dual to a Type $IIA$ string. On further toroidal compactification to four spacetime dimensions, the heterotic string acquires an $SL(2,\BbbZ)_S$ strong/weak coupling duality and an…

High Energy Physics - Theory · Physics 2009-10-28 M. J. Duff , James T. Liu , J. Rahmfeld

Using the assumption that the independent gauge invariant couplings on the world-volume of the non-perturbative objects in the string theory are independent of the background, we find the four and the six gauge field strength and/or the…

High Energy Physics - Theory · Physics 2022-10-05 Mohammad R. Garousi , Saman Karimi

The massive soliton theories describe integrable perturbations of WZW cosets as generalized multi-component sine-Gordon models. We study their coupling to 2-dim gravity in the conformal gauge and show that the resulting models can be…

High Energy Physics - Theory · Physics 2009-10-30 Ioannis Bakas , Q-Han Park

We generalize the Lund-Regge model for vortex string dynamics in 4-dimensional Minkowski space to the arbitrary n-dimensional case. The n-dimensional vortex equation is identified with a nonabelian sine-Gordon equation and its integrability…

High Energy Physics - Theory · Physics 2009-10-31 Q-Han Park , H. J. Shin

We show the existence of a supersymmetry breaking mechanism in string theory, where N=4 supersymmetry is broken spontaneously to N=2 and N=1 with moduli dependent gravitino masses. The spectrum of the spontaneously broken theory with lower…

High Energy Physics - Theory · Physics 2009-10-30 E. Kiritsis , C. Kounnas

Let $E_n$ be the Siegel Eisenstein series of degree $n$ and weight $k$ with a complex parameter $s$. In this paper, using a differential operator $D$ by Ibukiyama which sends a scalar valued Siegel modular form to the tensor product of two…

Number Theory · Mathematics 2021-09-27 Noritomo Kozima

We consider the Calabi-Yau reduction of the Type IIA eight derivative one-loop stringy corrections focusing on the couplings of the four dimensional gravity multiplet with vector multiplets and a tensor multiplet containing the NS two-form.…

High Energy Physics - Theory · Physics 2015-06-17 Stefanos Katmadas , Ruben Minasian