D-brane instantons and matrix models

García-Etxebarria, Iñaki

doi:10.48550/arxiv.0810.1482

Cited by 12 publications

(20 citation statements)

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“…where we have used that the normal bundle is antisymmetric under the involution, that the normal bundle to a point inside a surface has rank two, and that its second antisymmetric power has rank one. 16 The final formula is thus remarkably simple: each point where the divisor under consideration intersects an isolated O3 contributes ±1/4 to the equivariant genus, depending on the Z 2 character of the fixed point.…”

Section: Isolated Fixed Pointsmentioning

confidence: 99%

“…Claims to the contrary have been recently been made in[66]. There are cases where one can compare strong and weakly coupled descriptions of D-brane instanton effects[68,15,16,26,39], and those cases support the agreement between the IIB and F-theory descriptions (excepting possible lifting of pairs of zero modes not protected by perturbative shift symmetries). F-theory backgrounds with no weakly coupled limit may be qualitatively different, and the discussion may have to be modified for those.…”

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confidence: 93%

“…Some N = 1 theories admit a matrix model description, and can be solved exactly using the techniques in [12,13,14]. This exact solution also sheds light on the problem of classifying instantons contributing to different F-terms [15,16], a problem that we will discuss extensively below. One can also approach the problem in other ways.…”

Section: Introductionmentioning

confidence: 99%

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On the computation of non‐perturbative effective potentials in the string theory landscape – IIB/F‐theory perspective –

Cvetič

García-Etxebarria

Halverson

2011

Fortschritte der Physik

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Abstract:We discuss a number of issues arising when computing non-perturbative effects systematically across the string theory landscape. In particular, we cast the study of fairly generic physical properties into the language of computability/number theory and show that this amounts to solving systems of diophantine equations. In analogy to the negative solution to Hilbert's 10th problem, we argue that in such systematic studies there may be no algorithm by which one can determine all physical effects. We take large volume type IIB compactifications as an example, with the physical property of interest being the low-energy non-perturbative F-terms of a generic compactification. A similar analysis is expected to hold for other kinds of string vacua, and we discuss in particular the extension of our ideas to F-theory. While these results imply that it may not be possible to systematically answer certain physical questions about generic type IIB compactifications, we identify particular Calabi-Yau manifolds in which the diophantine equations become linear, and thus can be systematically solved.As part of the study of the required systematics of F-terms, we develop technology for computing Z 2 equivariant line bundle cohomology on toric varieties, which determines the presence of particular instanton zero modes via the Koszul complex. This is of general interest for realistic IIB model building on complete intersections in toric ambient spaces.

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Section: Isolated Fixed Pointsmentioning

confidence: 99%

mentioning

confidence: 93%

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On the computation of non‐perturbative effective potentials in the string theory landscape – IIB/F‐theory perspective –

Cvetič

García-Etxebarria

Halverson

2011

Fortschritte der Physik

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“…This situation might be related to the appearance for USp(0) gauge group of the gluino condensate in the framework of Dijkgraaf-Vafa[16], which was later interpreted as the stringy D-brane instanton contributions in[17]. It would be interesting to clarify the relation; the author thanks Masaki Shigemori and Iñaki García-Etxebarria for discussions.…”

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confidence: 94%

Six-dimensionalD_Ntheory and four-dimensional SO-USp quivers

Tachikawa¹

2009

J. High Energy Phys.

233

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We realize four-dimensional N = 2 superconformal quiver gauge theories with alternating SO and USp gauge groups as compactifications of the six-dimensional D N theory with defects. The construction can be used to analyze infinitely stronglycoupled limits and S-dualities of such gauge theories, resulting in a new class of isolated four-dimensional N = 2 superconformal field theories with SO(2N) 3 flavor symmetry.

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“…These multi-instanton effects in the quiver theories certainly deserve further analysis and investigations. For an interesting connection between matrix models and D-brane instanton calculus (and a perturbative way of computing stringy multi-instanton effects) see [110]. Results about multi-instanton processes have also appeared in Ref.…”

Section: Chaptermentioning

confidence: 99%

Applications of String Theory: Non-perturbative Effects in Flux Compactifications and Effective Description of Statistical Systems

Ferro

2009

Preprint

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In this paper, which is a revised version of the author's PhD thesis, we analyze two different applications of string theory. In the first part, we focus on four dimensional compactifications of Type II string theories preserving N = 1 supersymmetry, in presence of intersecting or magnetized D-branes. We show, through world-sheet methods, how the insertion of closed string background fluxes may modify the effective interactions on Dirichlet and Euclidean branes. In particular, we compute flux-induced fermionic masses. The generality of our results is exploited to determine the soft terms of the action on the instanton moduli space. Finally, we investigate how fluxes create new non-perturbative superpotential terms in presence of gauge and stringy instantons in SQCD-like models. The second part is devoted to the description of statistical systems through effective string models. In particular, we focus our attention on (d − 1)-dimensional interfaces, present in particular statistical systems defined on compact d-dimensional spaces. We compute their exact partition function by resorting to standard covariant quantization of the Nambu-Goto theory, and we compare it with Monte Carlo data. Then, we propose an effective model to describe interfaces in 2d space and test it against the dimensional reduction of the Nambu-Goto description of the 2d interface.

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D-brane instantons and matrix models

Cited by 12 publications

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On the computation of non‐perturbative effective potentials in the string theory landscape – IIB/F‐theory perspective –

On the computation of non‐perturbative effective potentials in the string theory landscape – IIB/F‐theory perspective –

Six-dimensionalD_Ntheory and four-dimensional SO-USp quivers

Applications of String Theory: Non-perturbative Effects in Flux Compactifications and Effective Description of Statistical Systems

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D-brane instantons and matrix models

Cited by 12 publications

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On the computation of non‐perturbative effective potentials in the string theory landscape – IIB/F‐theory perspective –

On the computation of non‐perturbative effective potentials in the string theory landscape – IIB/F‐theory perspective –

Six-dimensionalDNtheory and four-dimensional SO-USp quivers

Applications of String Theory: Non-perturbative Effects in Flux Compactifications and Effective Description of Statistical Systems

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Six-dimensionalD_Ntheory and four-dimensional SO-USp quivers