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 |
|---|---|---|---|---|---|---|---|---|---|
| 79533 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }q_{1}^{2}S_{1}$ | 2.3516 | 2.4944 | 0.9427 | [X:[], M:[0.8571, 0.8571], q:[0.7013, 0.4416], qb:[], phi:[], S:[0.5974, 0.5455], Sb:[], A:[], Ab:[]] | [X:[], M:[[0], [0]], q:[[1], [-1]], qb:[], phi:[], S:[[-2], [2]], Sb:[], A:[], Ab:[]] | 1 | {a: 2535/1078, c: 2689/1078, M1: 6/7, M2: 6/7, q1: 54/77, q2: 34/77, S1: 46/77, S2: 6/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{2}$, ${ }S_{2}^{2}$, ${ }S_{1}^{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}q_{2}S_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }q_{1}^{2}S_{2}$, ${ }M_{2}S_{2}^{2}$ | ${}$ | -2 | 2*t^2.571 + t^3.273 + t^3.584 + t^4.286 + t^4.442 + t^5.065 + 3*t^5.143 + 2*t^5.844 - 2*t^6. + t^6.078 + t^6.156 + 2*t^6.545 + 2*t^6.701 - t^6.779 + 5*t^6.857 + 2*t^7.013 + 2*t^7.169 + 2*t^7.558 + 7*t^7.714 - 2*t^7.792 + 3*t^7.87 + 2*t^8.026 + 2*t^8.338 + t^8.416 + t^8.494 - 3*t^8.571 + 3*t^8.649 + 2*t^8.727 - t^8.805 + t^8.883 - t^4.636/y - t^4.792/y - t^7.208/y - t^7.364/y - (2*t^7.909)/y - (2*t^8.065)/y + t^8.143/y - (2*t^8.221)/y - (2*t^8.377)/y + (2*t^8.844)/y - t^8.922/y - t^4.636*y - t^4.792*y - t^7.208*y - t^7.364*y - 2*t^7.909*y - 2*t^8.065*y + t^8.143*y - 2*t^8.221*y - 2*t^8.377*y + 2*t^8.844*y - t^8.922*y | 2*t^2.571 + g1^4*t^3.273 + t^3.584/g1^4 + t^4.286 + t^4.442/g1^4 + g1^2*t^5.065 + 3*t^5.143 + 2*g1^4*t^5.844 - 2*t^6. + t^6.078/g1^2 + t^6.156/g1^4 + 2*g1^8*t^6.545 + 2*g1^4*t^6.701 - g1^2*t^6.779 + 5*t^6.857 + (2*t^7.013)/g1^4 + (2*t^7.169)/g1^8 + 2*g1^4*t^7.558 + 7*t^7.714 - (2*t^7.792)/g1^2 + (3*t^7.87)/g1^4 + (2*t^8.026)/g1^8 + 2*g1^6*t^8.338 + g1^4*t^8.416 + g1^2*t^8.494 - 3*t^8.571 + (3*t^8.649)/g1^2 + (2*t^8.727)/g1^4 - t^8.805/g1^6 + t^8.883/g1^8 - (g1^2*t^4.636)/y - t^4.792/(g1^2*y) - (g1^2*t^7.208)/y - t^7.364/(g1^2*y) - (2*g1^6*t^7.909)/y - (2*g1^2*t^8.065)/y + t^8.143/y - (2*t^8.221)/(g1^2*y) - (2*t^8.377)/(g1^6*y) + (2*g1^4*t^8.844)/y - (g1^2*t^8.922)/y - g1^2*t^4.636*y - (t^4.792*y)/g1^2 - g1^2*t^7.208*y - (t^7.364*y)/g1^2 - 2*g1^6*t^7.909*y - 2*g1^2*t^8.065*y + t^8.143*y - (2*t^8.221*y)/g1^2 - (2*t^8.377*y)/g1^6 + 2*g1^4*t^8.844*y - g1^2*t^8.922*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 79663 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }q_{1}^{2}S_{1}$ + ${ }M_{3}S_{1}^{2}$ | 2.3682 | 2.5241 | 0.9382 | [X:[], M:[0.8571, 0.8571, 0.7909], q:[0.6977, 0.4451], qb:[], phi:[], S:[0.6045, 0.5383], Sb:[], A:[], Ab:[]] | t^2.373 + 2*t^2.571 + t^3.23 + t^4.286 + t^4.484 + t^4.745 + 2*t^4.944 + t^5.043 + 3*t^5.143 + t^5.603 + 2*t^5.801 - 2*t^6. - t^4.615/y - t^4.814/y - t^4.615*y - t^4.814*y | detail | |
| 79660 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }q_{1}^{2}S_{1}$ + ${ }M_{3}S_{2}^{2}$ | 2.3608 | 2.5106 | 0.9403 | [X:[], M:[0.8571, 0.8571, 0.8882], q:[0.7065, 0.4363], qb:[], phi:[], S:[0.5869, 0.5559], Sb:[], A:[], Ab:[]] | 2*t^2.571 + t^2.665 + t^3.522 + t^4.286 + t^4.379 + t^5.096 + 3*t^5.143 + 2*t^5.236 + t^5.329 - 2*t^6. - t^4.668/y - t^4.761/y - t^4.668*y - t^4.761*y | detail | |
| 79640 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }q_{1}^{2}S_{1}$ + ${ }q_{1}q_{2}S_{2}$ + ${ }S_{1}^{2}X_{1}$ | 1.5607 | 1.6767 | 0.9308 | [X:[1.4286], M:[0.8571, 0.8571], q:[0.8571, 0.2857], qb:[], phi:[], S:[0.2857, 0.8571], Sb:[], A:[], Ab:[]] | 3*t^2.571 + t^3.429 + 2*t^4.286 + 8*t^5.143 + 2*t^6. - t^3.857/y - (2*t^5.571)/y - t^3.857*y - 2*t^5.571*y | detail | {a: 8565/5488, c: 4601/2744, X1: 10/7, M1: 6/7, M2: 6/7, q1: 6/7, q2: 2/7, S1: 2/7, S2: 6/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 79529 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ | 2.4052 | 2.5481 | 0.9439 | [X:[], M:[0.8571, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5714, 0.5714], Sb:[], A:[], Ab:[]] | 2*t^2.571 + 2*t^3.429 + 9*t^5.143 - 3*t^6. - (2*t^4.714)/y - 2*t^4.714*y | detail | {a: 825/343, c: 874/343, M1: 6/7, M2: 6/7, q1: 4/7, q2: 4/7, S1: 4/7, S2: 4/7} |