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 |
|---|---|---|---|---|---|---|---|---|---|
| 398 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ | 0.6341 | 0.8036 | 0.7891 | [M:[1.211, 1.1055, 0.6835, 0.789], q:[0.75, 0.4335], qb:[0.3555, 0.461], phi:[0.5]] | [M:[[2], [1], [-3], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}M_{4}q_{1}\tilde{q}_{2}$ | 0 | t^2.05 + t^2.367 + t^2.45 + t^3. + 2*t^3.317 + t^3.55 + 2*t^3.633 + t^3.867 + 2*t^4.101 + t^4.183 + t^4.266 + t^4.417 + t^4.5 + t^4.734 + t^4.817 + t^4.899 + t^5.05 + 3*t^5.367 + t^5.45 + t^5.601 + 3*t^5.683 + t^5.766 + t^5.917 + t^6.083 + 2*t^6.151 + t^6.234 + t^6.317 + 2*t^6.468 + 2*t^6.55 + 4*t^6.633 + t^6.716 + t^6.784 + 2*t^6.867 + 3*t^6.95 + 3*t^7.101 + 2*t^7.183 + 2*t^7.266 + t^7.349 + 4*t^7.417 + t^7.5 + 2*t^7.651 + 5*t^7.734 + t^7.817 + 2*t^7.899 + 2*t^7.968 + 3*t^8.202 + t^8.216 + 2*t^8.284 + t^8.367 + 2*t^8.518 + 2*t^8.532 + 2*t^8.601 + 2*t^8.683 + 2*t^8.835 + 2*t^8.917 - t^4.5/y - t^6.55/y + t^7.183/y + t^7.417/y + t^7.5/y + t^8.05/y + (3*t^8.367)/y + (2*t^8.45)/y + (4*t^8.683)/y + (2*t^8.766)/y + (2*t^8.917)/y - t^4.5*y - t^6.55*y + t^7.183*y + t^7.417*y + t^7.5*y + t^8.05*y + 3*t^8.367*y + 2*t^8.45*y + 4*t^8.683*y + 2*t^8.766*y + 2*t^8.917*y | t^2.05/g1^3 + t^2.367/g1^2 + g1^3*t^2.45 + t^3. + 2*g1*t^3.317 + t^3.55/g1^3 + 2*g1^2*t^3.633 + t^3.867/g1^2 + (2*t^4.101)/g1^6 + t^4.183/g1 + g1^4*t^4.266 + t^4.417/g1^5 + t^4.5 + t^4.734/g1^4 + g1*t^4.817 + g1^6*t^4.899 + t^5.05/g1^3 + (3*t^5.367)/g1^2 + g1^3*t^5.45 + t^5.601/g1^6 + (3*t^5.683)/g1 + g1^4*t^5.766 + t^5.917/g1^5 + g1^5*t^6.083 + (2*t^6.151)/g1^9 + t^6.234/g1^4 + g1*t^6.317 + (2*t^6.468)/g1^8 + (2*t^6.55)/g1^3 + 4*g1^2*t^6.633 + g1^7*t^6.716 + t^6.784/g1^7 + (2*t^6.867)/g1^2 + 3*g1^3*t^6.95 + (3*t^7.101)/g1^6 + (2*t^7.183)/g1 + 2*g1^4*t^7.266 + g1^9*t^7.349 + (4*t^7.417)/g1^5 + t^7.5 + (2*t^7.651)/g1^9 + (5*t^7.734)/g1^4 + g1*t^7.817 + 2*g1^6*t^7.899 + (2*t^7.968)/g1^8 + (3*t^8.202)/g1^12 + g1^7*t^8.216 + (2*t^8.284)/g1^7 + t^8.367/g1^2 + (2*t^8.518)/g1^11 + 2*g1^8*t^8.532 + (2*t^8.601)/g1^6 + (2*t^8.683)/g1 + (2*t^8.835)/g1^10 + (2*t^8.917)/g1^5 - t^4.5/y - t^6.55/(g1^3*y) + t^7.183/(g1*y) + t^7.417/(g1^5*y) + t^7.5/y + t^8.05/(g1^3*y) + (3*t^8.367)/(g1^2*y) + (2*g1^3*t^8.45)/y + (4*t^8.683)/(g1*y) + (2*g1^4*t^8.766)/y + (2*t^8.917)/(g1^5*y) - t^4.5*y - (t^6.55*y)/g1^3 + (t^7.183*y)/g1 + (t^7.417*y)/g1^5 + t^7.5*y + (t^8.05*y)/g1^3 + (3*t^8.367*y)/g1^2 + 2*g1^3*t^8.45*y + (4*t^8.683*y)/g1 + 2*g1^4*t^8.766*y + (2*t^8.917*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 643 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6515 | 0.8349 | 0.7802 | [M:[1.2178, 1.1089, 0.6732, 0.7822, 0.7822], q:[0.75, 0.4232], qb:[0.3589, 0.4678], phi:[0.5]] | t^2.02 + 2*t^2.346 + t^2.48 + t^3. + 2*t^3.327 + t^3.52 + t^3.654 + t^3.846 + 2*t^4.039 + t^4.173 + t^4.307 + 2*t^4.366 + t^4.5 + 3*t^4.693 + 2*t^4.827 + t^4.961 + t^5.02 + 4*t^5.346 + t^5.48 + t^5.539 + 4*t^5.673 + t^5.807 + 2*t^5.866 - t^4.5/y - t^4.5*y | detail | |
| 642 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{2}M_{5}$ | 0.6438 | 0.8203 | 0.7848 | [M:[1.2163, 1.1082, 0.6755, 0.7837, 0.8918], q:[0.75, 0.4255], qb:[0.3582, 0.4663], phi:[0.5]] | t^2.026 + t^2.351 + t^2.474 + t^2.675 + t^3. + t^3.325 + t^3.526 + 2*t^3.649 + t^3.851 + 2*t^4.053 + t^4.175 + t^4.298 + t^4.377 + t^4.5 + 2*t^4.702 + t^4.825 + t^4.947 + 2*t^5.026 + t^5.149 + 3*t^5.351 + t^5.474 + t^5.553 + 3*t^5.675 + t^5.877 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 640 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6337 | 0.8024 | 0.7897 | [M:[1.2, 1.1, 0.7, 0.8], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | t^2.1 + 2*t^2.4 + t^3. + 2*t^3.3 + 3*t^3.6 + t^3.9 + 4*t^4.2 + 2*t^4.5 + 3*t^4.8 + t^5.1 + 4*t^5.4 + 5*t^5.7 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 20277/32000, c: 25677/32000, M1: 6/5, M2: 11/10, M3: 7/10, M4: 4/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| 1839 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}q_{1}q_{2}$ | 0.6266 | 0.7933 | 0.7899 | [M:[1.1667, 1.0833, 0.75, 0.8333], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]] | 2*t^2.25 + t^2.5 + t^3. + 2*t^3.25 + 2*t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 2*t^4.75 + t^5. + 2*t^5.25 + 4*t^5.5 + 4*t^5.75 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 1925/3072, c: 2437/3072, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, q1: 3/4, q2: 1/2, qb1: 1/3, qb2: 5/12, phi1: 1/2} |
| 1840 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6502 | 0.8314 | 0.782 | [M:[1.1994, 1.0997, 0.7008, 0.8006, 0.7992], q:[0.75, 0.4508], qb:[0.3497, 0.4494], phi:[0.5]] | t^2.103 + 2*t^2.397 + t^2.402 + t^3. + 2*t^3.299 + 2*t^3.598 + t^3.902 + t^4.197 + t^4.201 + 2*t^4.205 + 2*t^4.5 + t^4.504 + 3*t^4.795 + 2*t^4.799 + t^4.803 + t^5.103 + 2*t^5.397 + 3*t^5.402 + 3*t^5.697 + 3*t^5.701 + 3*t^5.996 - t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 249 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6426 | 0.819 | 0.7847 | [M:[1.1534, 1.1608, 0.6858, 0.6783], q:[0.75, 0.4358], qb:[0.4108, 0.4034], phi:[0.5]] | t^2.035 + t^2.057 + t^2.443 + t^3. + 2*t^3.46 + 2*t^3.482 + t^3.557 + t^3.92 + t^4.018 + t^4.04 + t^4.07 + t^4.092 + 2*t^4.115 + t^4.478 + t^4.5 + t^4.885 + t^5.035 + t^5.057 + t^5.443 + 2*t^5.495 + 4*t^5.518 + 2*t^5.54 + t^5.592 + t^5.615 + t^5.903 + t^5.925 + t^5.955 - 2*t^6. - t^4.5/y - t^4.5*y | detail |