Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
46410 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 0.7203 | 0.8807 | 0.8179 | [M:[0.9817, 0.896, 1.0183, 1.0959, 0.9121, 0.7898], q:[0.4561, 0.5623], qb:[0.648, 0.5256], phi:[0.452]] | [M:[[-4, 0, 4], [4, -4, 4], [4, 0, -4], [2, 2, 2], [-8, 0, -8], [-8, -4, 0]], q:[[-4, 0, -4], [8, 0, 0]], qb:[[0, 4, 0], [0, 0, 8]], phi:[[-1, -1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$ | ${}$ | -3 | t^2.369 + t^2.688 + t^2.736 + t^2.945 + t^3.055 + t^3.288 + t^3.521 + t^4.093 + t^4.301 + t^4.411 + t^4.51 + t^4.62 + t^4.668 + t^4.73 + t^4.739 + t^4.877 + t^4.987 + t^5.057 + t^5.106 + t^5.244 + t^5.314 + t^5.376 + t^5.424 + t^5.473 + t^5.657 + t^5.89 + t^5.976 - 3*t^6. + t^6.024 + t^6.233 - t^6.319 + t^6.343 - t^6.367 + t^6.462 + t^6.466 + t^6.67 + t^6.78 + t^6.809 + t^6.829 + t^6.879 + t^6.989 + 2*t^7.037 + t^7.041 + t^7.099 + t^7.108 + t^7.148 + t^7.197 + 2*t^7.246 + t^7.308 + t^7.356 + t^7.405 + t^7.418 + t^7.426 + t^7.455 + t^7.466 + t^7.475 + t^7.565 + 2*t^7.613 + t^7.675 + t^7.684 + t^7.745 + t^7.785 + t^7.794 + t^7.822 + t^7.842 + t^7.98 + t^8.026 + t^8.03 + t^8.064 + t^8.112 + t^8.185 + t^8.189 + t^8.209 + t^8.259 + t^8.345 - 4*t^8.369 + 2*t^8.394 + t^8.397 - t^8.479 + t^8.504 - t^8.578 + 2*t^8.602 + t^8.664 - 4*t^8.688 + 2*t^8.712 - 5*t^8.736 + 2*t^8.761 + t^8.765 - t^8.798 + t^8.811 + t^8.822 + t^8.831 + t^8.835 + t^8.921 - 4*t^8.945 + t^8.969 - t^4.356/y - t^6.725/y - t^7.044/y - t^7.093/y + t^7.62/y + t^7.668/y + t^7.987/y + t^8.057/y + t^8.106/y + t^8.314/y + (2*t^8.424)/y + t^8.633/y + t^8.657/y + t^8.681/y + t^8.743/y + t^8.791/y + t^8.89/y + t^8.976/y - t^4.356*y - t^6.725*y - t^7.044*y - t^7.093*y + t^7.62*y + t^7.668*y + t^7.987*y + t^8.057*y + t^8.106*y + t^8.314*y + 2*t^8.424*y + t^8.633*y + t^8.657*y + t^8.681*y + t^8.743*y + t^8.791*y + t^8.89*y + t^8.976*y | t^2.369/(g1^8*g2^4) + (g1^4*g3^4*t^2.688)/g2^4 + t^2.736/(g1^8*g3^8) + (g3^4*t^2.945)/g1^4 + (g1^4*t^3.055)/g3^4 + g1^2*g2^2*g3^2*t^3.288 + g2^4*g3^8*t^3.521 + t^4.093/(g1^9*g2*g3^9) + (g3^3*t^4.301)/(g1^5*g2) + (g1^3*t^4.411)/(g2*g3^5) + (g3^15*t^4.51)/(g1*g2) + (g1^7*g3^7*t^4.62)/g2 + (g2^3*t^4.668)/(g1^5*g3^5) + (g1^15*t^4.73)/(g2*g3) + t^4.739/(g1^16*g2^8) + (g2^3*g3^7*t^4.877)/g1 + (g1^7*g2^3*t^4.987)/g3 + (g3^4*t^5.057)/(g1^4*g2^8) + t^5.106/(g1^16*g2^4*g3^8) + (g2^7*t^5.244)/(g1*g3) + (g3^4*t^5.314)/(g1^12*g2^4) + (g1^8*g3^8*t^5.376)/g2^8 + t^5.424/(g1^4*g2^4*g3^4) + t^5.473/(g1^16*g3^16) + (g3^2*t^5.657)/(g1^6*g2^2) + (g3^8*t^5.89)/g1^8 + (g1^6*g3^6*t^5.976)/g2^2 - 3*t^6. + (g2^2*t^6.024)/(g1^6*g3^6) + (g2^2*g3^6*t^6.233)/g1^2 - g1^12*g3^4*t^6.319 + (g1^6*g2^2*t^6.343)/g3^2 - (g2^4*t^6.367)/g3^8 + t^6.462/(g1^17*g2^5*g3^9) + (g2^4*g3^12*t^6.466)/g1^4 + (g3^3*t^6.67)/(g1^13*g2^5) + t^6.78/(g1^5*g2^5*g3^5) + g1^2*g2^6*g3^10*t^6.809 + t^6.829/(g1^17*g2*g3^17) + (g3^15*t^6.879)/(g1^9*g2^5) + (g3^7*t^6.989)/(g1*g2^5) + (2*t^7.037)/(g1^13*g2*g3^5) + g2^8*g3^16*t^7.041 + (g1^7*t^7.099)/(g2^5*g3) + t^7.108/(g1^24*g2^12) + t^7.148/(g1^5*g2*g3^13) + (g1^3*g3^19*t^7.197)/g2^5 + (2*g3^7*t^7.246)/(g1^9*g2) + (g1^11*g3^11*t^7.308)/g2^5 + t^7.356/(g1*g2*g3) + (g2^3*t^7.405)/(g1^13*g3^13) + (g1^19*g3^3*t^7.418)/g2^5 + (g3^4*t^7.426)/(g1^12*g2^12) + (g3^19*t^7.455)/(g1^5*g2) + (g1^7*t^7.466)/(g2*g3^9) + t^7.475/(g1^24*g2^8*g3^8) + (g1^3*g3^11*t^7.565)/g2 + (2*g2^3*t^7.613)/(g1^9*g3) + (g1^11*g3^3*t^7.675)/g2 + (g3^4*t^7.684)/(g1^20*g2^8) + (g3^8*t^7.745)/g2^12 + (g1^19*t^7.785)/(g2*g3^5) + t^7.794/(g1^12*g2^8*g3^4) + (g2^3*g3^11*t^7.822)/g1^5 + t^7.842/(g1^24*g2^4*g3^16) + (g2^7*t^7.98)/(g1^9*g3^9) + (g3^2*t^8.026)/(g1^14*g2^6) + (g2^3*g3^23*t^8.03)/g1 + (g1^12*g3^12*t^8.064)/g2^12 + t^8.112/g2^8 + t^8.185/(g1^18*g2^2*g3^18) + (g2^7*g3^3*t^8.189)/g1^5 + t^8.209/(g1^24*g3^24) + (g3^8*t^8.259)/(g1^16*g2^4) + (g3^6*t^8.345)/(g1^2*g2^6) - (4*t^8.369)/(g1^8*g2^4) + (2*t^8.394)/(g1^14*g2^2*g3^6) + (g2^7*g3^15*t^8.397)/g1 - t^8.479/(g2^4*g3^8) + t^8.504/(g1^6*g2^2*g3^14) - (g3^12*t^8.578)/(g1^4*g2^4) + (2*g3^6*t^8.602)/(g1^10*g2^2) + (g1^10*g3^10*t^8.664)/g2^6 - (4*g1^4*g3^4*t^8.688)/g2^4 + (2*t^8.712)/(g1^2*g2^2*g3^2) - (5*t^8.736)/(g1^8*g3^8) + (2*g2^2*t^8.761)/(g1^14*g3^14) + (g2^11*g3^7*t^8.765)/g1 - (g1^12*t^8.798)/(g2^4*g3^4) + (g3^18*t^8.811)/(g1^6*g2^2) + (g1^6*t^8.822)/(g2^2*g3^10) + t^8.831/(g1^25*g2^9*g3^9) + (g3^12*t^8.835)/g1^12 + (g1^2*g3^10*t^8.921)/g2^2 - (4*g3^4*t^8.945)/g1^4 + (g2^2*t^8.969)/(g1^10*g3^2) - t^4.356/(g1*g2*g3*y) - t^6.725/(g1^9*g2^5*g3*y) - (g1^3*g3^3*t^7.044)/(g2^5*y) - t^7.093/(g1^9*g2*g3^9*y) + (g1^7*g3^7*t^7.62)/(g2*y) + (g2^3*t^7.668)/(g1^5*g3^5*y) + (g1^7*g2^3*t^7.987)/(g3*y) + (g3^4*t^8.057)/(g1^4*g2^8*y) + t^8.106/(g1^16*g2^4*g3^8*y) + (g3^4*t^8.314)/(g1^12*g2^4*y) + (2*t^8.424)/(g1^4*g2^4*g3^4*y) + (g3^8*t^8.633)/(g2^4*y) + (g3^2*t^8.657)/(g1^6*g2^2*y) + t^8.681/(g1^12*g3^4*y) + (g1^8*t^8.743)/(g2^4*y) + t^8.791/(g1^4*g3^12*y) + (g3^8*t^8.89)/(g1^8*y) + (g1^6*g3^6*t^8.976)/(g2^2*y) - (t^4.356*y)/(g1*g2*g3) - (t^6.725*y)/(g1^9*g2^5*g3) - (g1^3*g3^3*t^7.044*y)/g2^5 - (t^7.093*y)/(g1^9*g2*g3^9) + (g1^7*g3^7*t^7.62*y)/g2 + (g2^3*t^7.668*y)/(g1^5*g3^5) + (g1^7*g2^3*t^7.987*y)/g3 + (g3^4*t^8.057*y)/(g1^4*g2^8) + (t^8.106*y)/(g1^16*g2^4*g3^8) + (g3^4*t^8.314*y)/(g1^12*g2^4) + (2*t^8.424*y)/(g1^4*g2^4*g3^4) + (g3^8*t^8.633*y)/g2^4 + (g3^2*t^8.657*y)/(g1^6*g2^2) + (t^8.681*y)/(g1^12*g3^4) + (g1^8*t^8.743*y)/g2^4 + (t^8.791*y)/(g1^4*g3^12) + (g3^8*t^8.89*y)/g1^8 + (g1^6*g3^6*t^8.976*y)/g2^2 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
47286 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ | 0.6995 | 0.856 | 0.8172 | [M:[1.0123, 0.8913, 0.9877, 1.0302, 1.0482, 0.9518], q:[0.5241, 0.4636], qb:[0.5846, 0.4881], phi:[0.4849]] | t^2.674 + t^2.855 + t^2.963 + t^3.037 + t^3.091 + t^3.145 + t^3.218 + t^4.236 + t^4.31 + t^4.383 + t^4.418 + t^4.491 + 2*t^4.599 + t^4.673 + t^4.781 + t^4.962 + t^5.348 + t^5.529 + t^5.711 + t^5.765 + t^5.892 + t^5.946 - 2*t^6. - t^4.455/y - t^4.455*y | detail | |
48125 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}^{2}$ | 0.6954 | 0.8497 | 0.8184 | [M:[1.0414, 0.9805, 0.9586, 1.0207, 0.978, 1.0], q:[0.489, 0.4696], qb:[0.5304, 0.5524], phi:[0.4896]] | t^2.876 + t^2.934 + t^2.942 + t^3. + t^3.062 + t^3.124 + t^3.249 + t^4.286 + t^4.345 + t^4.403 + t^4.469 + t^4.527 + t^4.535 + t^4.593 + t^4.652 + t^4.718 + t^4.783 + t^5.868 + t^5.876 + t^5.883 + t^5.938 + t^5.996 - 2*t^6. - t^4.469/y - t^4.469*y | detail | |
47126 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.639 | 0.7933 | 0.8056 | [M:[1.1493, 0.7399, 0.8507, 1.2338, 0.7924, 0.6817], q:[0.3962, 0.4545], qb:[0.8638, 0.7531], phi:[0.3831]] | t^2.045 + t^2.22 + t^2.377 + t^2.552 + t^3.448 + t^3.527 + 2*t^3.701 + t^3.876 + t^4.09 + t^4.265 + t^4.422 + t^4.44 + 2*t^4.597 + t^4.755 + t^4.772 + t^4.851 + t^4.929 + t^5.104 + t^5.493 + t^5.572 + t^5.668 + 2*t^5.746 + t^5.904 + 2*t^5.921 - 2*t^6. - t^4.149/y - t^4.149*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
46114 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7729 | 0.9519 | 0.812 | [M:[0.7473, 0.7777, 0.7777, 1.2223, 0.7777, 0.7777], q:[0.6263, 0.6263], qb:[0.596, 0.596], phi:[0.3888]] | t^2.242 + 4*t^2.333 + t^3.576 + t^3.667 + t^4.484 + 4*t^4.575 + 10*t^4.666 + 3*t^4.742 + 4*t^4.833 + 3*t^4.925 + t^5.818 + t^5.909 - 4*t^6. - t^4.167/y - t^4.167*y | detail |