Diagonal Form Factors and Heavy-Heavy-Light Three-Point Functions at Weak Coupling

In this paper we consider a special kind of three-point functions of HHL type at weak coupling in N=4 SYM theory and analyze its volume dependence. At strong coupling this kind of three-point functions were studied recently by Bajnok, Janik and Wereszczynski [1]. The authors considered some cases of HHL correlator in the su(2) sector and, relying on their explicit results, formulated a conjecture about the form of the volume dependence of the symmetric HHL structure constant to be valid at any coupling up to wrapping corrections. In order to test this hypothesis we considered the HHL correlator in su(2) sector at weak coupling and directly showed that, up to one loop, the finite volume dependence has exactly the form proposed in [1]. Another side of the conjecture suggests that computation of the symmetric structure constant is equivalent to computing the corresponding set of infinite volume form factors, which can be extracted as the coefficients of finite volume expansion. In this sense, extracting appropriate coefficients from our result gives a prediction for the corresponding infinite volume form factors.Comment: 37 pages, 9 figure

Defect scaling Lee-Yang model from the perturbed DCFT point of view

We analyze the defect scaling Lee-Yang model from the perturbed defect conformal field theory (DCFT) point of view. First the defect Lee-Yang model is solved by calculating its structure constants from the sewing relations. Integrable defect perturbations are identified in conformal defect perturbation theory. Then pure defect flows connecting integrable conformal defects are described. We develop a defect truncated conformal space approach (DTCSA) to analyze the one parameter family of integrable massive perturbations in finite volume numerically. Fusing the integrable defect to an integrable boundary the relation between the IR and UV parameters can be derived from the boundary relations. We checked these results by comparing the spectrum for large volumes to the scattering theory.Comment: LaTeX, 33 pages, 9 figures, figures adde

Explicit boundary form factors: the scaling Lee-Yang model

We provide explicit expressions for boundary form factors in the boundary scaling Lee-Yang model for operators with the mildest ultraviolet behavior for all integrable boundary conditions. The form factors of the boundary stress tensor take a determinant form, while the form factors of the boundary primary field contain additional explicit polynomials.Comment: 18 pages, References adde

On some Aspects of Life Writing in Bernard Kangro’s Kuus päeva and Seitsmes päev

The Second World War cleft Estonian literature into two halves for half a century: the literature of the homeland and the literature of the diaspora. Bernard Kangro (1910–1994), who fled Estonia in 1944, was a prolific writer, the editor of the magazine Tulimuld and the head of the main diaspora publishing house Eesti Kirjanike Kooperatiiv. Kuus päeva (Six Days, 1980) and Seitsmes päev (The Seventh Day, 1984) are Kangro’s last novels. Kangro began drawing up plans for these two novels at the beginning of the 1970s, when western scholars were taking a deeper interest in life writing. From the perspective of form, Kangro’s novels have a special status in Estonian literature; in Kuus päeva, Kangro uses the diary form to create a meta-level in the novel with the goal of analyzing the specificity of autobiographical writing; in Seitsmes päev this meta-level is achieved through the imaginary diary of the biographer-protagonist, which consists of his reflections and experiences while writing a biography. These reflections and experiences derive from Kangro’s own preliminary research for the historical novel Kuus päeva. Seitsmes päev thus becomes the metatext for Kuus päeva. The main theme of the first novel of the dilogy is the writing of autobiography as such. Through the protagonist Andreas Sunesen, a historical figure, questions are raised concerning the concept of truth in autobiographical writing, the relations between autobiographical writing and historical writing and the function of confessionality in autobiographical narrative. The second focus of this article is on the issues connected to the writing of biography, as thematized in Seitsmes päev. In Kuus päeva, three meanings of the concept of truth can be differentiated: the truth expressed by the autobiographer (which the protagonist also refers to as “eternal truth“); the truth of historical events, which is expressed in their claim to authenticity, their correspondence or harmony with reality; and the truth about the existence of the autobiographer, which should appear as a result of the verbalization of his self-examination and memory work. The story of the mission to the eastern Baltic Sea region contained in Andreas’ autobiographical narrative points rather to the inseparability of the first two dimensions of truth, at least to the extent that the narrator of these historical events is also their witness and participant. Thus, it is unavoidable that he would relay what has happened from the vantage point of his present needs and purposes. Kangro’s novel seems to support the Italian philosopher Adriana Cavarero’s claim about self-narration: the autobiographical narrative can only answer the question of what a person was, not the question of his or her existence. In Seitsmes päev, the second novel of the dilogy, a philosophical question is foregrounded – the question of the task of the biographer. As far as the poetics of this novel is concerned, the answer to this question remains ambivalent

Z. Hollo[?] to Mr. Meredith (10 October 1962)

https://egrove.olemiss.edu/mercorr_pro/2116/thumbnail.jp

Finite volume form factors in the presence of integrable defects

We developed the theory of finite volume form factors in the presence of integrable defects. These finite volume form factors are expressed in terms of the infinite volume form factors and the finite volume density of states and incorporate all polynomial corrections in the inverse of the volume. We tested our results, in the defect Lee-Yang model, against numerical data obtained by truncated conformal space approach (TCSA), which we improved by renormalization group methods adopted to the defect case. To perform these checks we determined the infinite volume defect form factors in the Lee-Yang model exactly, including their vacuum expectation values. We used these data to calculate the two point functions, which we compared, at short distance, to defect CFT. We also derived explicit expressions for the exact finite volume one point functions, which we checked numerically. In all of these comparisons excellent agreement was found.Comment: pdflatex, 34 pages, many figure