Matches in SemOpenAlex for { <https://semopenalex.org/work/W4322008836> ?p ?o ?g. }
- W4322008836 abstract "We present for the first time fully analytic results for multi-loop equal-mass ice cone graphs in two dimensions. By analysing the leading singularities of these integrals, we find that the maximal cuts in two dimensions can be organised into two copies of the same periods that describe the Calabi-Yau varieties for the equal-mass banana integrals. We obtain a conjectural basis of master integrals at an arbitrary number of loops, and we solve the system of differential equations satisfied by the master integrals in terms of the same class of iterated integrals that have appeared earlier in the context of equal-mass banana integrals. We then go on and show that, when expressed in terms of the canonical coordinate on the moduli space, our results can naturally be written as iterated integrals involving the geometrical invariants of the Calabi-Yau varieties. Our results indicate how the concept of pure functions and transcendental weight can be extended to the case of Calabi-Yau varieties. Finally, we also obtain a novel representation of the periods of the Calabi-Yau varieties in terms of the same class of iterated integrals, and we show that the well-known quadratic relations among the periods reduce to simple shuffle relations among these iterated integrals." @default.
- W4322008836 created "2023-02-26" @default.
- W4322008836 creator A5006411190 @default.
- W4322008836 creator A5058702281 @default.
- W4322008836 creator A5080058531 @default.
- W4322008836 creator A5085620334 @default.
- W4322008836 date "2023-02-23" @default.
- W4322008836 modified "2023-10-13" @default.
- W4322008836 title "The ice cone family and iterated integrals for Calabi-Yau varieties" @default.
- W4322008836 cites W1532382953 @default.
- W4322008836 cites W1566065074 @default.
- W4322008836 cites W1584798087 @default.
- W4322008836 cites W1967251385 @default.
- W4322008836 cites W1974543099 @default.
- W4322008836 cites W1980081427 @default.
- W4322008836 cites W1985833383 @default.
- W4322008836 cites W1994265177 @default.
- W4322008836 cites W1995182568 @default.
- W4322008836 cites W2003670010 @default.
- W4322008836 cites W2005986533 @default.
- W4322008836 cites W2006312843 @default.
- W4322008836 cites W2012544505 @default.
- W4322008836 cites W2013982525 @default.
- W4322008836 cites W2019131503 @default.
- W4322008836 cites W2028144768 @default.
- W4322008836 cites W2030826336 @default.
- W4322008836 cites W2032556563 @default.
- W4322008836 cites W2032591669 @default.
- W4322008836 cites W2034590487 @default.
- W4322008836 cites W2036705462 @default.
- W4322008836 cites W2045044457 @default.
- W4322008836 cites W2045132656 @default.
- W4322008836 cites W2045835733 @default.
- W4322008836 cites W2046535123 @default.
- W4322008836 cites W2047714171 @default.
- W4322008836 cites W2052137086 @default.
- W4322008836 cites W2053786873 @default.
- W4322008836 cites W2055138983 @default.
- W4322008836 cites W2058524577 @default.
- W4322008836 cites W2060427383 @default.
- W4322008836 cites W2064997516 @default.
- W4322008836 cites W2085537617 @default.
- W4322008836 cites W2086007622 @default.
- W4322008836 cites W2091996036 @default.
- W4322008836 cites W2103388727 @default.
- W4322008836 cites W2109842278 @default.
- W4322008836 cites W2121053851 @default.
- W4322008836 cites W2129170632 @default.
- W4322008836 cites W2155737582 @default.
- W4322008836 cites W2167274574 @default.
- W4322008836 cites W2272169419 @default.
- W4322008836 cites W2460869000 @default.
- W4322008836 cites W2543134733 @default.
- W4322008836 cites W2566355495 @default.
- W4322008836 cites W2606373842 @default.
- W4322008836 cites W2616684254 @default.
- W4322008836 cites W2623774400 @default.
- W4322008836 cites W2777439113 @default.
- W4322008836 cites W2804442505 @default.
- W4322008836 cites W2883230952 @default.
- W4322008836 cites W2891400499 @default.
- W4322008836 cites W2897058158 @default.
- W4322008836 cites W2897774302 @default.
- W4322008836 cites W2938377916 @default.
- W4322008836 cites W2949221862 @default.
- W4322008836 cites W2950395151 @default.
- W4322008836 cites W2950599308 @default.
- W4322008836 cites W2950671701 @default.
- W4322008836 cites W2954229826 @default.
- W4322008836 cites W2958230949 @default.
- W4322008836 cites W2961955743 @default.
- W4322008836 cites W2962702528 @default.
- W4322008836 cites W2962783000 @default.
- W4322008836 cites W2963093300 @default.
- W4322008836 cites W2963137214 @default.
- W4322008836 cites W2963624043 @default.
- W4322008836 cites W2963751173 @default.
- W4322008836 cites W2963873307 @default.
- W4322008836 cites W2977294739 @default.
- W4322008836 cites W3002185975 @default.
- W4322008836 cites W3037555746 @default.
- W4322008836 cites W3049116843 @default.
- W4322008836 cites W3098042176 @default.
- W4322008836 cites W3098605147 @default.
- W4322008836 cites W3098978332 @default.
- W4322008836 cites W3099373593 @default.
- W4322008836 cites W3099437790 @default.
- W4322008836 cites W3099816544 @default.
- W4322008836 cites W3100815285 @default.
- W4322008836 cites W3102310584 @default.
- W4322008836 cites W3102753365 @default.
- W4322008836 cites W3102894500 @default.
- W4322008836 cites W3103896840 @default.
- W4322008836 cites W3103921288 @default.
- W4322008836 cites W3104276590 @default.
- W4322008836 cites W3105384095 @default.
- W4322008836 cites W3106364833 @default.
- W4322008836 cites W3106405807 @default.
- W4322008836 cites W3115895403 @default.
- W4322008836 cites W3123109576 @default.