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 |
|---|---|---|---|---|---|---|---|---|---|
| 46219 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}M_{3}$ | 0.5465 | 0.65 | 0.8409 | [X:[1.31], M:[0.965, 0.76, 1.035], q:[0.31, 0.725], qb:[0.93, 0.655], phi:[0.345]] | [X:[[2]], M:[[3], [-8], [-3]], q:[[2], [-5]], qb:[[6], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.28 + 2*t^2.895 + t^3.105 + 2*t^3.93 + t^4.14 + t^4.56 + t^4.755 + t^4.965 + t^5.175 + t^5.385 + 2*t^5.79 - 2*t^6. + t^6.21 + t^6.42 + t^6.825 + t^6.84 + t^7.035 + t^7.245 + t^7.455 + t^7.65 + t^7.665 + t^7.86 + 2*t^8.07 - t^8.28 + t^8.49 + 2*t^8.685 + t^8.7 - 3*t^8.895 - t^4.035/y - t^6.315/y + t^7.755/y + (2*t^8.175)/y + t^8.385/y - t^8.595/y + t^8.79/y - t^4.035*y - t^6.315*y + t^7.755*y + 2*t^8.175*y + t^8.385*y - t^8.595*y + t^8.79*y | t^2.28/g1^8 + 2*g1^3*t^2.895 + t^3.105/g1^3 + 2*g1^2*t^3.93 + t^4.14/g1^4 + t^4.56/g1^16 + g1^7*t^4.755 + g1*t^4.965 + t^5.175/g1^5 + t^5.385/g1^11 + 2*g1^6*t^5.79 - 2*t^6. + t^6.21/g1^6 + t^6.42/g1^12 + g1^5*t^6.825 + t^6.84/g1^24 + t^7.035/g1 + t^7.245/g1^7 + t^7.455/g1^13 + g1^10*t^7.65 + t^7.665/g1^19 + g1^4*t^7.86 + (2*t^8.07)/g1^2 - t^8.28/g1^8 + t^8.49/g1^14 + 2*g1^9*t^8.685 + t^8.7/g1^20 - 3*g1^3*t^8.895 - t^4.035/(g1*y) - t^6.315/(g1^9*y) + (g1^7*t^7.755)/y + (2*t^8.175)/(g1^5*y) + t^8.385/(g1^11*y) - t^8.595/(g1^17*y) + (g1^6*t^8.79)/y - (t^4.035*y)/g1 - (t^6.315*y)/g1^9 + g1^7*t^7.755*y + (2*t^8.175*y)/g1^5 + (t^8.385*y)/g1^11 - (t^8.595*y)/g1^17 + g1^6*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 46715 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{3}$ | 0.535 | 0.6373 | 0.8395 | [X:[1.2727], M:[0.9091, 0.9091, 1.0909], q:[0.2727, 0.8182], qb:[0.8182, 0.6364], phi:[0.3636]] | 3*t^2.727 + t^3.273 + 2*t^3.818 + 2*t^4.364 + t^4.909 + 4*t^5.455 - t^6. - t^4.091/y - t^4.091*y | detail | {a: 5697/10648, c: 3393/5324, X1: 14/11, M1: 10/11, M2: 10/11, M3: 12/11, q1: 3/11, q2: 9/11, qb1: 9/11, qb2: 7/11, phi1: 4/11} |
| 46536 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ | 0.5176 | 0.6192 | 0.836 | [X:[1.25], M:[0.875, 1.0, 1.125], q:[0.25, 0.875], qb:[0.75, 0.625], phi:[0.375]] | 2*t^2.625 + t^3. + t^3.375 + 2*t^3.75 + t^4.125 + t^4.5 + t^4.875 + 2*t^5.25 + t^5.625 - t^6. - t^4.125/y - t^4.125*y | detail | {a: 8481/16384, c: 10145/16384, X1: 5/4, M1: 7/8, M2: 1, M3: 9/8, q1: 1/4, q2: 7/8, qb1: 3/4, qb2: 5/8, phi1: 3/8} |
| 46754 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{4}$ | 0.5503 | 0.6565 | 0.8383 | [X:[1.3019], M:[0.9529, 0.7922, 1.0471, 0.9529], q:[0.3019, 0.7452], qb:[0.9058, 0.651], phi:[0.349]] | t^2.377 + 3*t^2.859 + 2*t^3.906 + t^4.188 + t^4.67 + t^4.753 + t^4.953 + 2*t^5.235 + 5*t^5.717 - 4*t^6. - t^4.047/y - t^4.047*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45971 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.5838 | 0.6909 | 0.845 | [X:[1.4275], M:[0.7156, 0.7156, 0.8588], q:[0.4275, 0.8569], qb:[0.8569, 0.7137], phi:[0.2863]] | 2*t^2.147 + t^2.576 + t^3.424 + 2*t^4.282 + 3*t^4.294 + 2*t^4.712 + 2*t^4.723 + t^5.141 + t^5.153 - 3*t^6. - t^3.859/y - t^3.859*y | detail |