Introduction to non-perturbative string theory

Kiritsis, Elias

doi:10.1063/1.54695

Cited by 109 publications

(247 citation statements)

References 75 publications

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“…Various helicity supertraces are finally obtained by taking appropriate derivatives of (2.1). More on these issues can be found in Appendix G of [28].…”

Section: General Description Of N = Heterotic Ground Statesmentioning

confidence: 99%

String threshold corrections in models with spontaneously broken supersymmetry

et al. 1999

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We analyse a class of four-dimensional heterotic ground states with N = 2 space-time supersymmetry. From the ten-dimensional perspective, such models can be viewed as compactifications on a six-dimensional manifold with SU(2) holonomy, which is locally but not globally K3 × T 2 . The maximal N = 4 supersymmetry is spontaneously broken to N = 2. The masses of the two massive gravitinos depend on the (T, U) moduli of T 2 . We evaluate the one-loop threshold corrections of gauge and R 2 couplings and we show that they fall in several universality classes, in contrast to what happens in usual K3 × T 2 compactifications, where the N = 4 supersymmetry is explicitly broken to N = 2, and where a single universality class appears. These universality properties follow from the structure of the elliptic genus. The behaviour of the threshold corrections as functions of the moduli is analysed in detail: it is singular across several rational lines of the T 2 moduli because of the appearance of extra massless states, and suffers only from logarithmic singularities at large radii. These features differ substantially from the ordinary K3 × T 2 compactifications, thereby reflecting the existence of spontaneously-broken N = 4 supersymmetry. Although our results are valid in the general framework defined above, we also point out several properties, specific to orbifold constructions, which might be of phenomenological relevance.

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“…Various helicity supertraces are finally obtained by taking appropriate derivatives of (2.1). More on these issues can be found in Appendix G of [28].…”

Section: General Description Of N = Heterotic Ground Statesmentioning

confidence: 99%

String threshold corrections in models with spontaneously broken supersymmetry

et al. 1999

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“…, a r 1 ; b 1 , b 2 (2) and SO (3). Its character is given by • The Appell-Lerch sum is defined as follows [41] 36 These conventions are related to, for example, those adopted in Appendix A of [54] by y = exp(2πiv), q = exp(2πiτ ). We refer the reader to this reference for further properties of such functions.…”

Section: Four-dimensional N 4d = 4 Spectramentioning

confidence: 99%

Refined partition functions for open superstrings with 4, 8 and 16 supercharges

Lüst¹,

Mekareeya²,

Schlotterer³

et al. 2013

Nuclear Physics B

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We analyze the perturbative massive open string spectrum of even-dimensional superstring compactifications with four, eight and sixteen supercharges. In each of such cases, we focus on universal states that exist independently on the internal geometry and other compatification details. We analytically compute refined partition functions that count these states at each mass level. Such refined partition functions are written in a super-Poincaré covariant form, providing information on how supermultiplets transform under the little group and the R symmetry. Various asymptotic limits of the partition functions and their associated quantities, such as the leading and subleading Regge trajectories, are studied empirically and analytically. In the phenomenologically relevant case of four supercharges, the partition function can be cast into the most compact form and the asymptotic formula in the large spin limit is derived explicitly. Crown Lüst et al. / Nuclear Physics B 876 (2013) Fig. 1. Classes of superstring compactifications for which we will discuss the universal particle content. The arrows within the columns represent dimensional reduction on a T 2 torus.

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“…We also give the expansion around the points 1/2, t/2 and 1/2 + t/2, which can be determined from (A.13) and (A.25) -(A.27) of [94]. This leads to…”

Section: Appendix a Theta Functionsmentioning

confidence: 99%

“…This relation to the usual definition of the theta function has to be taken into account when comparing with formulas from chapter 7 of [56] and appendix A of [94], for instance. To translate their formulas involving theta (or eta) functions to our conventions, one has to take the complex conjugate of the corresponding formula and afterward renamē ν → ν andt → t.…”

Section: Appendix a Theta Functionsmentioning

confidence: 99%