A
bstract
We study the large
N
expansion of twisted partition functions of 3d
N
= 2 superconformal field theories arising from
N
M5-branes wrapped on a hyperbolic 3- manifold,
M
3
. Via the 3d-3d ...correspondence, the partition functions of these 3d
N
= 2 superconformal field theories are related to simple topological invariants on the 3-manifold. The partition functions can be expressed using only classical and one-loop perturbative invariants of PSL(
N,
ℂ) Chern-Simons theory around irreducible flat connections on
M
3
. Using mathematical results on the asymptotics of the invariants, we compute the twisted partition functions in the large
N
limit including
perturbative corrections to all orders in
1
/N
. Surprisingly, the perturbative expansion terminates at finite order. The leading part of the partition function is of order
N
3
and agrees with the Bekenstein-Hawking entropy of the dual black holes. The subleading part, in particular the log
N
-terms in the field theory partition function is found to precisely match the one-loop quantum corrections in the dual eleven dimensional supergravity. The field theory results of other terms in 1
/N
provide a stringent prediction for higher order corrections in the holographic dual, which is M-theory.
A
bstract
We discuss walking behavior in gauge theories and weak first-order phase transitions in statistical physics. Despite appearing in very different systems (QCD below the conformal window, the ...Potts model, deconfined criticality) these two phenomena both imply approximate scale invariance in a range of energies and have the same RG interpretation: a flow passing between pairs of fixed point at complex coupling. We discuss what distinguishes a real theory from a complex theory and call these fixed points complex CFTs. By using conformal perturbation theory we show how observables of the walking theory are computable by perturbing the complex CFTs. This paper discusses the general mechanism while a companion paper
1
will treat a specific and computable example: the two-dimensional
Q
-state Potts model with
Q
> 4. Concerning walking in 4d gauge theories, we also comment on the (un)likelihood of the light pseudo-dilaton, and on non-minimal scenarios of the conformal window termination.
A
bstract
We find a Polyakov-type action for strings moving in a torsional Newton-Cartan geometry. This is obtained by starting with the relativistic Polyakov action and fixing the momentum of the ...string along a non-compact null isometry. For a flat target space, we show that the world-sheet theory becomes the Gomis-Ooguri action. From a target space perspective these strings are non-relativistic but their world-sheet theories are still relativistic. We show that one can take a scaling limit in which also the world-sheet theory becomes non-relativistic with an infinite-dimensional symmetry algebra given by the Galilean conformal algebra. This scaling limit can be taken in the context of the AdS/CFT correspondence and we show that it is realized by the ‘Spin Matrix Theory’ limits of strings on AdS
5
×
S
5
. Spin Matrix theory arises as non-relativistic limits of the AdS/CFT correspondence close to BPS bounds. The duality between non-relativistic strings and Spin Matrix theory provides a holographic duality of its own and points towards a framework for more tractable holographic dualities whereby non-relativistic strings are dual to near BPS limits of the dual field theory.
A
bstract
It was shown recently that the static tidal response coefficients, called Love numbers, vanish identically for Kerr black holes in four dimensions. In this work, we confirm this result and ...extend it to the case of spin-0 and spin-1 perturbations. We compute the static response of Kerr black holes to scalar, electromagnetic, and gravitational fields at all orders in black hole spin. We use the unambiguous and gauge-invariant definition of Love numbers and their spin-0 and spin-1 analogs as Wilson coefficients of the point particle effective field theory. This definition also allows one to clearly distinguish between conservative and dissipative response contributions. We demonstrate that the behavior of Kerr black hole responses to spin-0 and spin-1 fields is very similar to that of the spin-2 perturbations. In particular, static conservative responses vanish identically for spinning black holes. This implies that vanishing Love numbers are a generic property of black holes in four-dimensional general relativity. We also show that the dissipative part of the response does not vanish even for static perturbations due to frame-dragging.
A
bstract
We propose a graph-based approach to 5d superconformal field theories (SCFTs) based on their realization as M-theory compactifications on singular elliptic Calabi-Yau threefolds. ...Field-theoretically, these 5d SCFTs descend from 6d
N
= (1
,
0) SCFTs by circle compactification and mass deformations. We derive a description of these theories in terms of graphs, so-called Combined Fiber Diagrams, which encode salient features of the partially resolved Calabi-Yau geometry, and provides a combinatorial way of characterizing all 5d SCFTs that descend from a given 6d theory. Remarkably, these graphs manifestly capture strongly coupled data of the 5d SCFTs, such as the superconformal flavor symmetry, BPS states, and mass deformations. The capabilities of this approach are demonstrated by deriving all rank one and rank two 5d SCFTs. The full potential, how- ever, becomes apparent when applied to theories with higher rank. Starting with the higher rank conformal matter theories in 6d, we are led to the discovery of previously unknown flavor symmetry enhancements and new 5d SCFTs.
A
bstract
We extend the Post-Minkowskian (PM) effective field theory (EFT) approach to incorporate conservative and dissipative radiation-reaction effects in a unified framework. This is achieved by ...implementing the Schwinger-Keldysh “in-in” formalism and separating conservative and non-conservative terms according to the formulation in
1
, which we show promotes Feynman’s
i
0-prescription and
cutting
rules to a prominent role at the classical level. The resulting integrals, involving both Feynman and retarded propagators, can be bootstrapped to all orders in the velocity via differential equations with boundary conditions including potential and radiation modes. As a paradigmatic example we provide an
ab initio
derivation of the classical solution to the scattering problem in general relativity to
O
(
G
3
). For the sake of completeness, we also reproduce the leading order radiation-reaction effects in classical electrodynamics.
A
bstract
We systematically study various sub-leading structures in the superconformal index of
N
= 4 supersymmetric Yang-Mills theory with SU(
N
) gauge group. We concentrate in the superconformal ...index description as a matrix model of elliptic gamma functions and in the Bethe-Ansatz presentation. Our saddle-point approximation goes beyond the Cardy-like limit and we uncover various saddles governed by a matrix model corresponding to SU(
N
) Chern-Simons theory. The dominant saddle, however, leads to perfect agreement with the Bethe-Ansatz approach. We also determine the logarithmic correction to the superconformal index to be log
N
, finding precise agreement between the saddle-point and Bethe-Ansatz approaches in their respective approximations. We generalize the two approaches to cover a large class of 4d
N
= 1 superconformal theories. We find that also in this case both approximations agree all the way down to a universal contribution of the form log
N
. The universality of this last result constitutes a robust signature of this ultraviolet description of asymptotically AdS
5
black holes and could be tested by low-energy IIB supergravity.
Supersymmetry breaking by fluxes Sethi, Savdeep
The journal of high energy physics,
10/2018, Letnik:
2018, Številka:
10
Journal Article
Recenzirano
Odprti dostop
A
bstract
Type II string theory and M-theory admit flux configurations that break supersymmetry below the Kaluza-Klein scale. These backgrounds play a central role in most models of the string ...landscape. I argue that the behavior of such backgrounds at weak coupling is generically a rolling solution, not a static space-time. Quantum corrections to the space-time potential are computed around this classical time-dependent background. This is particularly important for non-perturbative corrections. This change in perspective offers an explanation for why there appear to be many effective field theory models that seemingly evade the known no-go theorems forbidding de Sitter space-times. This has interesting implications for type IIB string landscape models.
Manufacturing is the backbone of any industrialized nation. Recent worldwide advances in manufacturing technologies have brought about a metamorphism in the industry. Fast-changing technologies on ...the product front have created a need for an equally fast response from manufacturing industries. To meet these challenges, manufacturing industries have to select appropriate manufacturing strategies, product designs, manufacturing processes, work piece and tool materials, and machinery and equipment. The selection decisions are complex as decision making is more challenging today. Decision makers in the manufacturing sector frequently face the problem of assessing a wide range of options and selecting one based on a set of conflicting criteria. Decision Making in the Manufacturing Environment demonstrates how graph theory and matrix approach, and fuzzy multiple attribute decision making methods can be effectively used for decision making in various situations of the manufacturing environment. Divided into two parts, Part I introduces the decision making situations in the manufacturing environment and presents decision making methods, Part II uses case studies to present the applications of these methods in real manufacturing situations. Decision Making in the Manufacturing Environment will be very useful to decision makers in the manufacturing sector as it makes decision making easier, more logical, systematic, efficient and effective. It is intended for designers, manufacturing engineers, practitioners, managers, institutes involved in design and manufacturing related projects, applied research workers, academics, and graduate students in mechanical, industrial, and manufacturing engineering.
The emergence of the alphabet in ancient Greece, usually heralded as the first step in the inexorable march toward reason and progress, in fact signaled the introduction of a chance technology that ...hijacked the future, with devastating consequences for humanity. By investigating an array of cultural artifacts, ranging from Kubrick's 2001: A Space Odyssey to the Oracle at Delphi to Luther's challenge to the Church, this book demonstrates how the apparently benign emergence of writing made possible far-ranging systems of organized domination and unprecedented levels of violence. The Violence of the Letter considers how a twenty-six-letter code changed the face of the world, and not always for the better.
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