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 |
|---|---|---|---|---|---|---|---|---|---|
| 612 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6935 | 0.8487 | 0.8171 | [M:[0.99, 0.9882, 1.0109, 0.9673, 1.0327], q:[0.5159, 0.4941], qb:[0.4732, 0.5386], phi:[0.4946]] | [M:[[16, 8], [-12, -12], [-2, 2], [6, -6], [-6, 6]], q:[[-10, -2], [-6, -6]], qb:[[12, 0], [0, 12]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$ | ${}$ | -2 | t^2.902 + t^2.964 + t^2.967 + t^2.97 + t^3.033 + t^3.098 + t^3.163 + t^4.323 + t^4.386 + t^4.448 + t^4.451 + t^4.514 + t^4.519 + t^4.579 + t^4.582 + t^4.647 + t^4.715 + t^5.869 + t^5.929 + 2*t^5.935 + t^5.94 + t^5.997 - 2*t^6. + t^6.003 + t^6.065 + 2*t^6.131 + t^6.196 + t^6.261 + t^6.327 + t^7.225 + t^7.288 + t^7.29 + t^7.293 + t^7.35 + t^7.353 + t^7.413 + t^7.415 + t^7.418 + t^7.421 + t^7.478 + t^7.481 + t^7.486 + t^7.489 + t^7.543 + 2*t^7.546 + t^7.549 + t^7.612 + t^7.614 + t^7.617 + t^7.677 + t^7.68 + t^7.683 + t^7.685 + t^7.742 + t^7.745 + t^7.81 + t^7.813 + t^7.879 + t^8.646 + t^8.709 + t^8.771 + t^8.834 + t^8.837 - t^8.839 + t^8.842 + t^8.893 + t^8.896 + t^8.899 - t^8.902 + 2*t^8.905 + t^8.91 + 2*t^8.962 - 3*t^8.964 - t^8.967 - 2*t^8.97 + t^8.973 - t^4.484/y - t^7.448/y - t^7.454/y + t^7.514/y + t^7.519/y + t^8.866/y + t^8.869/y + t^8.872/y + t^8.932/y + (2*t^8.935)/y + t^8.937/y + t^8.997/y - t^4.484*y - t^7.448*y - t^7.454*y + t^7.514*y + t^7.519*y + t^8.866*y + t^8.869*y + t^8.872*y + t^8.932*y + 2*t^8.935*y + t^8.937*y + t^8.997*y | (g1^6*t^2.902)/g2^6 + t^2.964/(g1^12*g2^12) + (g1^2*t^2.967)/g2^2 + g1^16*g2^8*t^2.97 + (g2^2*t^3.033)/g1^2 + (g2^6*t^3.098)/g1^6 + (g2^10*t^3.163)/g1^10 + (g1^25*t^4.323)/g2 + (g1^7*t^4.386)/g2^7 + t^4.448/(g1^11*g2^13) + (g1^3*t^4.451)/g2^3 + t^4.514/(g1^15*g2^9) + g1^13*g2^11*t^4.519 + t^4.579/(g1^19*g2^5) + (g2^5*t^4.582)/g1^5 + (g2^9*t^4.647)/g1^9 + g1*g2^23*t^4.715 + (g1^8*t^5.869)/g2^8 + t^5.929/(g1^24*g2^24) + (2*g1^4*t^5.935)/g2^4 + g1^32*g2^16*t^5.94 + t^5.997/(g1^14*g2^10) - 2*t^6. + g1^14*g2^10*t^6.003 + (g2^4*t^6.065)/g1^4 + (2*g2^8*t^6.131)/g1^8 + (g2^12*t^6.196)/g1^12 + (g2^16*t^6.261)/g1^16 + (g2^20*t^6.327)/g1^20 + (g1^31*t^7.225)/g2^7 + (g1^13*t^7.288)/g2^13 + (g1^27*t^7.29)/g2^3 + g1^41*g2^7*t^7.293 + t^7.35/(g1^5*g2^19) + (g1^9*t^7.353)/g2^9 + t^7.413/(g1^23*g2^25) + t^7.415/(g1^9*g2^15) + (g1^5*t^7.418)/g2^5 + g1^19*g2^5*t^7.421 + t^7.478/(g1^27*g2^21) + t^7.481/(g1^13*g2^11) + g1^15*g2^9*t^7.486 + g1^29*g2^19*t^7.489 + t^7.543/(g1^31*g2^17) + (2*t^7.546)/(g1^17*g2^7) + (g2^3*t^7.549)/g1^3 + t^7.612/(g1^21*g2^3) + (g2^7*t^7.614)/g1^7 + g1^7*g2^17*t^7.617 + (g2*t^7.677)/g1^25 + (g2^11*t^7.68)/g1^11 + g1^3*g2^21*t^7.683 + g1^17*g2^31*t^7.685 + (g2^5*t^7.742)/g1^29 + (g2^15*t^7.745)/g1^15 + (g2^19*t^7.81)/g1^19 + (g2^29*t^7.813)/g1^5 + (g2^33*t^7.879)/g1^9 + (g1^50*t^8.646)/g2^2 + (g1^32*t^8.709)/g2^8 + (g1^14*t^8.771)/g2^14 + t^8.834/(g1^4*g2^20) + (g1^10*t^8.837)/g2^10 - g1^24*t^8.839 + g1^38*g2^10*t^8.842 + t^8.893/(g1^36*g2^36) + t^8.896/(g1^22*g2^26) + t^8.899/(g1^8*g2^16) - (g1^6*t^8.902)/g2^6 + 2*g1^20*g2^4*t^8.905 + g1^48*g2^24*t^8.91 + (2*t^8.962)/(g1^26*g2^22) - (3*t^8.964)/(g1^12*g2^12) - (g1^2*t^8.967)/g2^2 - 2*g1^16*g2^8*t^8.97 + g1^30*g2^18*t^8.973 - (g1*t^4.484)/(g2*y) - t^7.448/(g1^11*g2^13*y) - (g1^17*g2^7*t^7.454)/y + t^7.514/(g1^15*g2^9*y) + (g1^13*g2^11*t^7.519)/y + t^8.866/(g1^6*g2^18*y) + (g1^8*t^8.869)/(g2^8*y) + (g1^22*g2^2*t^8.872)/y + t^8.932/(g1^10*g2^14*y) + (2*g1^4*t^8.935)/(g2^4*y) + (g1^18*g2^6*t^8.937)/y + t^8.997/(g1^14*g2^10*y) - (g1*t^4.484*y)/g2 - (t^7.448*y)/(g1^11*g2^13) - g1^17*g2^7*t^7.454*y + (t^7.514*y)/(g1^15*g2^9) + g1^13*g2^11*t^7.519*y + (t^8.866*y)/(g1^6*g2^18) + (g1^8*t^8.869*y)/g2^8 + g1^22*g2^2*t^8.872*y + (t^8.932*y)/(g1^10*g2^14) + (2*g1^4*t^8.935*y)/g2^4 + g1^18*g2^6*t^8.937*y + (t^8.997*y)/(g1^14*g2^10) |
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 |
|---|---|---|---|---|---|---|---|---|
| 998 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.6952 | 0.8535 | 0.8145 | [M:[1.0461, 0.9368, 1.0086, 0.9743, 1.0257, 0.9539], q:[0.4855, 0.4684], qb:[0.5059, 0.5572], phi:[0.4957]] | t^2.81 + t^2.862 + t^2.923 + t^2.974 + t^3.026 + t^3.077 + t^3.128 + t^4.298 + t^4.349 + t^4.4 + t^4.41 + t^4.462 + t^4.523 + t^4.564 + t^4.615 + t^4.677 + t^4.831 + t^5.621 + t^5.672 + t^5.724 + t^5.785 + 2*t^5.836 + t^5.887 + t^5.897 + t^5.939 + t^5.949 + t^5.99 - 2*t^6. - t^4.487/y - t^4.487*y | detail | |
| 997 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6951 | 0.8535 | 0.8144 | [M:[0.9385, 1.0457, 1.0079, 0.9764, 1.0236, 0.9543], q:[0.5386, 0.5229], qb:[0.4535, 0.5008], phi:[0.4961]] | t^2.816 + t^2.863 + t^2.929 + t^2.976 + t^3.024 + t^3.071 + t^3.118 + t^4.209 + t^4.351 + t^4.417 + t^4.465 + t^4.493 + t^4.559 + t^4.606 + t^4.625 + t^4.673 + t^4.72 + t^5.631 + t^5.678 + t^5.726 + t^5.792 + 2*t^5.839 + t^5.886 + t^5.906 + t^5.934 + t^5.953 + t^5.981 - 2*t^6. - t^4.488/y - t^4.488*y | detail | |
| 1000 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.6946 | 0.8505 | 0.8168 | [M:[0.9879, 0.985, 1.0136, 0.9592, 1.0408, 0.9864], q:[0.5197, 0.4925], qb:[0.4668, 0.5483], phi:[0.4932]] | t^2.878 + t^2.955 + 2*t^2.959 + t^2.964 + t^3.122 + t^3.204 + t^4.28 + t^4.357 + t^4.434 + t^4.439 + t^4.516 + t^4.525 + t^4.598 + t^4.602 + t^4.683 + t^4.769 + 2*t^5.837 + t^5.91 + t^5.914 + 3*t^5.918 + t^5.923 + t^5.927 - 3*t^6. - t^4.48/y - t^4.48*y | detail | |
| 996 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.6977 | 0.8557 | 0.8153 | [M:[0.984, 0.9784, 1.0188, 0.9435, 1.0565, 0.9435], q:[0.5269, 0.4892], qb:[0.4543, 0.5673], phi:[0.4906]] | 2*t^2.831 + t^2.935 + t^2.944 + t^2.952 + t^3.056 + t^3.282 + t^4.198 + t^4.302 + t^4.407 + t^4.415 + t^4.52 + t^4.537 + t^4.633 + t^4.641 + t^4.754 + t^4.875 + 2*t^5.661 + t^5.766 + 2*t^5.774 + t^5.782 + t^5.87 + 3*t^5.887 + t^5.904 + t^5.992 - 3*t^6. - t^4.472/y - t^4.472*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 |
|---|---|---|---|---|---|---|---|---|---|
| 371 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ | 0.7297 | 0.8972 | 0.8133 | [M:[0.8794, 0.9008, 0.7647, 1.0155, 0.9845], q:[0.6702, 0.4504], qb:[0.5651, 0.5341], phi:[0.445]] | t^2.294 + t^2.638 + t^2.67 + t^2.702 + t^2.954 + t^3.046 + t^3.613 + t^4.037 + t^4.289 + t^4.382 + t^4.54 + t^4.588 + t^4.633 + t^4.697 + t^4.726 + t^4.932 + t^4.948 + t^4.964 + t^4.996 + t^5.041 + t^5.248 + t^5.277 + t^5.309 + 2*t^5.341 + t^5.356 + t^5.373 + t^5.405 + t^5.624 + t^5.717 + t^5.907 - 3*t^6. - t^4.335/y - t^4.335*y | detail |