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 |
|---|---|---|---|---|---|---|---|---|---|
| 55262 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.695 | 0.8523 | 0.8155 | [M:[1.0326, 1.0326, 0.9674, 0.9456, 1.0109, 0.9674], q:[0.4728, 0.4946], qb:[0.4946, 0.5598], phi:[0.4946]] | [M:[[6], [6], [-6], [-10], [2], [-6]], q:[[-5], [-1]], qb:[[-1], [11]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$ | ${}M_{1}M_{6}$ | -2 | t^2.837 + 2*t^2.902 + t^2.967 + t^3.033 + t^3.098 + t^3.163 + t^4.321 + 2*t^4.386 + 3*t^4.451 + t^4.582 + 2*t^4.647 + t^4.842 + t^5.674 + t^5.739 + 2*t^5.804 + 3*t^5.87 + 2*t^5.935 - 2*t^6. + t^6.065 + 2*t^6.13 + t^6.326 + t^7.158 + 3*t^7.223 + 5*t^7.288 + 6*t^7.353 + 3*t^7.418 + 3*t^7.549 + 3*t^7.614 + 2*t^7.745 + 2*t^7.81 + t^7.94 + t^8.005 + t^8.511 + t^8.576 + 2*t^8.641 + 5*t^8.707 + 5*t^8.772 + 2*t^8.837 - t^8.902 - 3*t^8.967 - t^4.484/y - t^7.321/y + t^7.647/y + (2*t^8.739)/y + (2*t^8.804)/y + (3*t^8.87)/y + (3*t^8.935)/y - t^4.484*y - t^7.321*y + t^7.647*y + 2*t^8.739*y + 2*t^8.804*y + 3*t^8.87*y + 3*t^8.935*y | t^2.837/g1^10 + (2*t^2.902)/g1^6 + t^2.967/g1^2 + g1^2*t^3.033 + g1^6*t^3.098 + g1^10*t^3.163 + t^4.321/g1^11 + (2*t^4.386)/g1^7 + (3*t^4.451)/g1^3 + g1^5*t^4.582 + 2*g1^9*t^4.647 + g1^21*t^4.842 + t^5.674/g1^20 + t^5.739/g1^16 + (2*t^5.804)/g1^12 + (3*t^5.87)/g1^8 + (2*t^5.935)/g1^4 - 2*t^6. + g1^4*t^6.065 + 2*g1^8*t^6.13 + g1^20*t^6.326 + t^7.158/g1^21 + (3*t^7.223)/g1^17 + (5*t^7.288)/g1^13 + (6*t^7.353)/g1^9 + (3*t^7.418)/g1^5 + 3*g1^3*t^7.549 + 3*g1^7*t^7.614 + 2*g1^15*t^7.745 + 2*g1^19*t^7.81 + g1^27*t^7.94 + g1^31*t^8.005 + t^8.511/g1^30 + t^8.576/g1^26 + (2*t^8.641)/g1^22 + (5*t^8.707)/g1^18 + (5*t^8.772)/g1^14 + (2*t^8.837)/g1^10 - t^8.902/g1^6 - (3*t^8.967)/g1^2 - t^4.484/(g1*y) - t^7.321/(g1^11*y) + (g1^9*t^7.647)/y + (2*t^8.739)/(g1^16*y) + (2*t^8.804)/(g1^12*y) + (3*t^8.87)/(g1^8*y) + (3*t^8.935)/(g1^4*y) - (t^4.484*y)/g1 - (t^7.321*y)/g1^11 + g1^9*t^7.647*y + (2*t^8.739*y)/g1^16 + (2*t^8.804*y)/g1^12 + (3*t^8.87*y)/g1^8 + (3*t^8.935*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56916 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.6987 | 0.8593 | 0.8131 | [M:[1.0466, 1.0466, 0.9534, 0.9223, 1.0155, 0.9534, 0.9534], q:[0.4612, 0.4922], qb:[0.4922, 0.5854], phi:[0.4922]] | t^2.767 + 3*t^2.86 + t^2.953 + t^3.047 + t^3.233 + t^4.244 + 2*t^4.337 + 3*t^4.43 + t^4.616 + 2*t^4.71 + t^4.989 + t^5.534 + 2*t^5.627 + 5*t^5.72 + 4*t^5.814 + 2*t^5.907 - 4*t^6. - t^4.477/y - t^4.477*y | detail | |
| 56913 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.6926 | 0.8483 | 0.8165 | [M:[1.0187, 1.0187, 0.9813, 0.9688, 1.0062, 0.9813, 1.0187], q:[0.4844, 0.4969], qb:[0.4969, 0.5343], phi:[0.4969]] | t^2.906 + t^2.944 + t^2.981 + t^3.019 + 2*t^3.056 + t^3.094 + t^4.397 + 2*t^4.435 + 3*t^4.472 + t^4.547 + 2*t^4.584 + t^4.696 + t^5.813 + 2*t^5.925 + 2*t^5.963 - 2*t^6. - t^4.491/y - t^4.491*y | detail | |
| 56915 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ | 0.6961 | 0.8543 | 0.8148 | [M:[1.0373, 1.0373, 0.9627, 0.9378, 1.0124, 0.9627, 0.9876], q:[0.4689, 0.4938], qb:[0.4938, 0.5684], phi:[0.4938]] | t^2.813 + 2*t^2.888 + 2*t^2.963 + t^3.112 + t^3.187 + t^4.295 + 2*t^4.369 + 3*t^4.444 + t^4.593 + 2*t^4.668 + t^4.892 + t^5.627 + t^5.701 + 3*t^5.776 + 4*t^5.851 + 2*t^5.925 - 3*t^6. - t^4.481/y - t^4.481*y | detail | |
| 56914 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6941 | 0.8506 | 0.816 | [M:[1.0279, 1.0279, 0.9721, 0.9534, 1.0093, 0.9721, 1.0093], q:[0.4767, 0.4953], qb:[0.4953, 0.5512], phi:[0.4953]] | t^2.86 + 2*t^2.916 + 2*t^3.028 + t^3.084 + t^3.14 + t^4.346 + 2*t^4.402 + 3*t^4.458 + t^4.57 + 2*t^4.626 + t^4.793 + t^5.721 + t^5.777 + t^5.832 + 2*t^5.888 + 3*t^5.944 - 3*t^6. - t^4.486/y - t^4.486*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47051 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6952 | 0.8535 | 0.8145 | [M:[1.0257, 1.0461, 0.9743, 0.9368, 1.0086, 0.9539], q:[0.4684, 0.5059], qb:[0.4855, 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 |