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In this report, we present a concise review on the various moduli stabilisation schemes proposed in the context of type IIB superstring compactifications using Calabi-Yau orientifolds. We discuss the details of the known schemes by…

High Energy Physics - Theory · Physics 2023-11-21 George K. Leontaris , Pramod Shukla

In these notes evidence is presented for intepreting the moduli space of the integrable model associated to $N\!=\!2$ gauge theories with $N\!=\!4$ matter content, in terms of Calabi-Yau manifolds. We restrict to the case of gauge group…

High Energy Physics - Theory · Physics 2007-05-23 C. Gomez , R. Hernandez , E. Lopez

Motivated by the possibility that physics may be effectively five-dimensional over some range of distance scales, we study the possible gaugings of five-dimensional N=2 supergravity. Using a constructive approach, we derive the conditions…

High Energy Physics - Theory · Physics 2009-11-07 John Ellis , Murat Gunaydin , Marco Zagermann

Using a reconstruction theorem, we prove that the supersymmetry conditions for a certain class of flux backgrounds are equivalent with a tractable subsystem of relations on differential forms which encodes the full set of contraints arising…

High Energy Physics - Theory · Physics 2014-11-14 Elena Mirela Babalic , Calin Iuliu Lazaroiu

D=11 supergravity possesses D=5 Calabi-Yau compactified solutions that may be identified with the vacua of the Horava-Witten orbifold construction for M--theory/heterotic duality. The simplest of these solutions naturally involves two…

High Energy Physics - Theory · Physics 2007-05-23 K. S. Stelle

Compactification of M theory in the presence of G-fluxes yields N=2 five-dimensional gauged supergravity with a potential that lifts all supersymmetric vacua. We derive the effective superpotential directly from the Kaluza-Klein reduction…

High Energy Physics - Theory · Physics 2009-10-31 Klaus Behrndt , Sergei Gukov

We study five-dimensional Kasner cosmologies in the vicinity of a conifold locus occurring in a time-dependent Calabi-Yau compactification of M-theory. The dynamics of M2-brane winding modes, which become light in this region, is taken into…

High Energy Physics - Theory · Physics 2009-11-10 Thomas Mohaupt , Frank Saueressig

We study the supergravity dual of four-dimensional ${\mathcal{N}=1}$ superconformal field theories arising from wrapping M5-branes on a K\"ahler two-cycle inside a Calabi-Yau threefold. We derive an effective three-dimensional theory living…

High Energy Physics - Theory · Physics 2020-02-10 Martin Fluder

In the context of N=2 supergravity we explain the occurrence of partial super-Higgs with vanishing vacuum energy and moduli stabilization in a model suggested by superstring compactifications on type IIB orientifolds with 3-form fluxes. The…

High Energy Physics - Theory · Physics 2014-11-18 L. Andrianopoli , R. D'Auria , S. Ferrara , M. A. Lledo'

We investigate a (0,2) gauge theory realized on the world volume of the type IIB D1-brane at the singular point of a Calabi-Yau fourfold. It is argued that the gauge anomaly can be canceled via coupling to the R-R chiral bosons in bulk IIB…

High Energy Physics - Theory · Physics 2009-10-30 Kenji Mohri

We argue that compactifications on Calabi-Yau threefolds with vanishing Euler number yield effective four dimensional theories exhibiting (spontaneously broken) N=4 supersymmetry. To this end, we derive the low-energy effective action for…

High Energy Physics - Theory · Physics 2015-06-12 Amir-Kian Kashani-Poor , Ruben Minasian , Hagen Triendl

We unveil a remarkable interplay between rigid field theories (RFTs), charge-to-mass ratios $\gamma$ and scalar curvature divergences $\mathsf{R}_{\rm div}$ in the vector multiplet moduli space of 4d ${\cal N}=2$ supergravities, obtained…

High Energy Physics - Theory · Physics 2025-02-05 Alberto Castellano , Fernando Marchesano , Luca Melotti , Lorenzo Paoloni

The SL(2,Z) anomaly recently derived for type IIB supergravity in 10 dimensions is shown to be a consequence of T-duality with the type IIA string, after compactification to 2 dimensions on an 8-fold. This explains the identity of the…

High Energy Physics - Theory · Physics 2016-09-06 Sunil Mukhi

We complete the N=1 superfield action for the generic system of vector multiplets and hypermultiplets coupled to 5D supergravity, which is based on the superconformal formulation. Especially we clarify the gravitational couplings to the…

High Energy Physics - Theory · Physics 2017-08-23 Yutaka Sakamura

We study 5-dimensional supergravity on S^1/Z_2 with a physical Z_2-odd vector multiplet, which yields an additional modulus other than the radion. We derive 4-dimensional effective theory and find additional terms in the Kahler potential…

High Energy Physics - Theory · Physics 2009-02-20 Hiroyuki Abe , Yutaka Sakamura

These are lecture notes on non-K\"ahler complex threefolds presented at the MATRIX program ``The geometry of moduli spaces in string theory''. We review some basics of Calabi-Yau geometry in Section 1, describe topological features of the…

Differential Geometry · Mathematics 2025-02-03 Sébastien Picard

We express the action of six-dimensional supergravity in terms of four-dimensional N=1 superfields, focusing on the moduli dependence of the action. The gauge invariance of the action in the tensor-vector sector is realized in a quite…

High Energy Physics - Theory · Physics 2015-08-07 Hiroyuki Abe , Yutaka Sakamura , Yusuke Yamada

We have studied the most general N=2 supergravity in five dimensions in context with the orbifold theory based on $M_4 \times S^1/Z_2$. Various ways to treat the supersymmetry with singular sources placed in orbifold fixed points were…

High Energy Physics - Theory · Physics 2010-02-03 Yin Lin

In four-dimensional F-theory compactifications with N=1 supersymmetry the fields describing the dynamics of space-time filling 7-branes are part of the complex structure moduli space of the internal Calabi-Yau fourfold. We explicitly…

High Energy Physics - Theory · Physics 2014-11-20 Thomas W. Grimm , Tae-Won Ha , Albrecht Klemm , Denis Klevers

We determine the conditions for maximally supersymmetric AdS_5 vacua of five-dimensional gauged N=2 supergravity coupled to vector-, tensor- and hypermultiplets charged under an arbitrary gauge group. In particular, we show that the…

High Energy Physics - Theory · Physics 2016-05-25 Jan Louis , Constantin Muranaka