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 |
|---|---|---|---|---|---|---|---|---|---|
| 2961 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6483 | 0.8029 | 0.8074 | [M:[0.8221, 1.0593, 1.1779, 0.7034, 1.0593, 1.0551], q:[0.4131, 0.7648], qb:[0.4089, 0.5317], phi:[0.4703]] | [M:[[-12], [4], [12], [-20], [4], [-30]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | -1 | t^2.11 + t^2.466 + t^3.165 + 2*t^3.178 + t^3.521 + t^3.534 + t^3.865 + t^3.877 + t^3.89 + t^4.221 + t^4.233 + t^4.246 + t^4.576 + t^4.602 + t^4.932 + t^5.276 + 2*t^5.288 + t^5.632 + 2*t^5.644 + t^5.975 + t^5.987 - t^6. - t^6.013 + 3*t^6.331 + 3*t^6.343 + 2*t^6.356 - t^6.368 + 2*t^6.687 + 2*t^6.699 + 2*t^6.712 + t^7.03 + 3*t^7.043 + t^7.055 + t^7.068 + 2*t^7.386 + 4*t^7.398 + t^7.411 + t^7.424 + t^7.729 + 2*t^7.742 + 3*t^7.754 + t^7.767 + t^7.779 + t^8.085 + 2*t^8.098 - t^8.123 + t^8.135 + 3*t^8.441 + 3*t^8.454 + t^8.466 - 2*t^8.479 + t^8.491 + 3*t^8.797 + 2*t^8.81 + t^8.822 + t^8.847 - t^4.411/y - t^6.521/y + t^7.233/y + t^7.246/y - t^7.589/y + t^8.276/y + (2*t^8.288)/y + t^8.301/y + t^8.632/y + (3*t^8.644)/y + t^8.975/y + (2*t^8.987)/y - t^4.411*y - t^6.521*y + t^7.233*y + t^7.246*y - t^7.589*y + t^8.276*y + 2*t^8.288*y + t^8.301*y + t^8.632*y + 3*t^8.644*y + t^8.975*y + 2*t^8.987*y | t^2.11/g1^20 + t^2.466/g1^12 + t^3.165/g1^30 + 2*g1^4*t^3.178 + t^3.521/g1^22 + g1^12*t^3.534 + t^3.865/g1^48 + t^3.877/g1^14 + g1^20*t^3.89 + t^4.221/g1^40 + t^4.233/g1^6 + g1^28*t^4.246 + t^4.576/g1^32 + g1^36*t^4.602 + t^4.932/g1^24 + t^5.276/g1^50 + (2*t^5.288)/g1^16 + t^5.632/g1^42 + (2*t^5.644)/g1^8 + t^5.975/g1^68 + t^5.987/g1^34 - t^6. - g1^34*t^6.013 + (3*t^6.331)/g1^60 + (3*t^6.343)/g1^26 + 2*g1^8*t^6.356 - g1^42*t^6.368 + (2*t^6.687)/g1^52 + (2*t^6.699)/g1^18 + 2*g1^16*t^6.712 + t^7.03/g1^78 + (3*t^7.043)/g1^44 + t^7.055/g1^10 + g1^24*t^7.068 + (2*t^7.386)/g1^70 + (4*t^7.398)/g1^36 + t^7.411/g1^2 + g1^32*t^7.424 + t^7.729/g1^96 + (2*t^7.742)/g1^62 + (3*t^7.754)/g1^28 + g1^6*t^7.767 + g1^40*t^7.779 + t^8.085/g1^88 + (2*t^8.098)/g1^54 - g1^14*t^8.123 + g1^48*t^8.135 + (3*t^8.441)/g1^80 + (3*t^8.454)/g1^46 + t^8.466/g1^12 - 2*g1^22*t^8.479 + g1^56*t^8.491 + (3*t^8.797)/g1^72 + (2*t^8.81)/g1^38 + t^8.822/g1^4 + g1^64*t^8.847 - t^4.411/(g1^2*y) - t^6.521/(g1^22*y) + t^7.233/(g1^6*y) + (g1^28*t^7.246)/y - (g1^2*t^7.589)/y + t^8.276/(g1^50*y) + (2*t^8.288)/(g1^16*y) + (g1^18*t^8.301)/y + t^8.632/(g1^42*y) + (3*t^8.644)/(g1^8*y) + t^8.975/(g1^68*y) + (2*t^8.987)/(g1^34*y) - (t^4.411*y)/g1^2 - (t^6.521*y)/g1^22 + (t^7.233*y)/g1^6 + g1^28*t^7.246*y - g1^2*t^7.589*y + (t^8.276*y)/g1^50 + (2*t^8.288*y)/g1^16 + g1^18*t^8.301*y + (t^8.632*y)/g1^42 + (3*t^8.644*y)/g1^8 + (t^8.975*y)/g1^68 + (2*t^8.987*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3552 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6401 | 0.7889 | 0.8114 | [M:[0.8571, 1.0476, 1.1429, 0.7619, 1.0476, 1.1429], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]] | t^2.286 + t^2.571 + 2*t^3.143 + 2*t^3.429 + 2*t^3.714 + 2*t^4. + 3*t^4.286 + t^4.571 + t^4.857 + t^5.143 + 2*t^5.429 + 2*t^5.714 - t^6. - t^4.429/y - t^4.429*y | detail | {a: 5269/8232, c: 3247/4116, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 22/21, M6: 8/7, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21} |
| 3555 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6483 | 0.8027 | 0.8076 | [M:[0.8235, 1.0588, 1.1765, 0.7059, 1.0588, 1.0588], q:[0.4118, 0.7647], qb:[0.4118, 0.5294], phi:[0.4706]] | t^2.118 + t^2.471 + 3*t^3.176 + 2*t^3.529 + 3*t^3.882 + 3*t^4.235 + 2*t^4.588 + t^4.941 + 3*t^5.294 + 3*t^5.647 - t^4.412/y - t^4.412*y | detail | {a: 25479/39304, c: 7887/9826, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 18/17, M6: 18/17, q1: 7/17, q2: 13/17, qb1: 7/17, qb2: 9/17, phi1: 8/17} |
| 3553 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6687 | 0.8414 | 0.7947 | [M:[0.8238, 1.0587, 1.1762, 0.7063, 1.0587, 1.0595, 0.7056], q:[0.4115, 0.7647], qb:[0.4123, 0.529], phi:[0.4706]] | t^2.117 + t^2.119 + t^2.471 + 2*t^3.176 + t^3.178 + t^3.529 + t^3.531 + t^3.881 + t^3.886 + 2*t^4.233 + 2*t^4.236 + t^4.238 + t^4.586 + t^4.588 + t^4.59 + t^4.943 + 2*t^5.293 + 3*t^5.295 + t^5.297 + t^5.645 + 3*t^5.648 + t^5.65 - t^6. - t^4.412/y - t^4.412*y | detail | |
| 3554 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6688 | 0.8425 | 0.7938 | [M:[0.8199, 1.06, 1.1801, 0.6999, 1.06, 1.0498, 0.6999], q:[0.4151, 0.765], qb:[0.4049, 0.5351], phi:[0.47]] | 2*t^2.1 + t^2.46 + t^3.149 + 2*t^3.18 + t^3.51 + t^3.54 + t^3.839 + t^3.87 + 3*t^4.199 + t^4.23 + t^4.261 + 2*t^4.559 + t^4.621 + t^4.92 + 2*t^5.249 + 4*t^5.28 + 2*t^5.609 + 3*t^5.64 + 2*t^5.939 + 2*t^5.969 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
| 3551 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6688 | 0.8418 | 0.7944 | [M:[0.8264, 1.0579, 1.1736, 0.7107, 1.0579, 1.066, 0.6944], q:[0.4091, 0.7645], qb:[0.4173, 0.5249], phi:[0.4711]] | t^2.083 + t^2.132 + t^2.479 + 2*t^3.174 + t^3.198 + t^3.521 + t^3.545 + t^3.868 + t^3.892 + t^4.166 + 2*t^4.215 + t^4.24 + t^4.264 + 2*t^4.562 + t^4.611 + t^4.958 + 2*t^5.257 + t^5.281 + 2*t^5.306 + t^5.33 + t^5.604 + t^5.628 + 2*t^5.653 + t^5.677 + t^5.951 - t^6. - t^4.413/y - t^4.413*y | detail | |
| 3550 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6636 | 0.8287 | 0.8008 | [M:[0.8306, 1.0565, 1.1694, 0.7176, 1.0565, 1.0765, 0.8106], q:[0.4053, 0.7641], qb:[0.4253, 0.5182], phi:[0.4718]] | t^2.153 + t^2.432 + t^2.492 + 2*t^3.169 + t^3.229 + t^3.508 + t^3.847 + t^3.907 + t^3.967 + t^4.186 + t^4.246 + t^4.306 + t^4.525 + t^4.585 + t^4.645 + t^4.864 + t^4.924 + t^4.984 + 2*t^5.322 + t^5.382 + 2*t^5.601 + 3*t^5.661 - t^6. - t^4.415/y - t^4.415*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1931 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6552 | 0.8131 | 0.8058 | [M:[0.838, 1.054, 1.162, 0.73, 1.054], q:[0.3985, 0.7635], qb:[0.4395, 0.5065], phi:[0.473]] | t^2.19 + t^2.514 + t^2.715 + 2*t^3.162 + t^3.486 + t^3.609 + t^3.81 + t^3.933 + t^4.056 + t^4.134 + t^4.257 + t^4.38 + t^4.458 + t^4.704 + t^4.905 + t^5.028 + t^5.229 + 2*t^5.352 + t^5.43 + 2*t^5.676 + t^5.877 - t^6. - t^4.419/y - t^4.419*y | detail |