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 |
|---|---|---|---|---|---|---|---|---|---|
| 3001 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6719 | 0.8403 | 0.7997 | [M:[1.0755, 0.7735, 0.6934, 1.1556, 0.8444, 1.0755], q:[0.5377, 0.3868], qb:[0.7689, 0.4576], phi:[0.4623]] | [M:[[4], [-12], [-3], [-5], [5], [4]], q:[[2], [-6]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | -1 | t^2.08 + t^2.321 + t^2.533 + t^2.986 + 2*t^3.226 + t^3.467 + t^3.707 + t^3.92 + t^4.132 + 2*t^4.16 + t^4.373 + t^4.401 + 2*t^4.613 + t^4.641 + t^4.854 + 2*t^5.066 + 3*t^5.307 + t^5.519 + 2*t^5.547 + t^5.76 + t^5.787 + t^5.972 - t^6. + t^6.028 + 2*t^6.213 + 2*t^6.24 + 4*t^6.453 + 2*t^6.481 + t^6.666 + 4*t^6.693 + t^6.721 + t^6.906 + 2*t^6.934 + t^6.962 + t^7.119 + 2*t^7.146 + t^7.174 + 2*t^7.359 + 3*t^7.387 + t^7.415 + 3*t^7.599 + 3*t^7.627 + 2*t^7.84 + 3*t^7.868 + 2*t^8.052 - t^8.08 + t^8.108 + t^8.265 + 3*t^8.293 + t^8.348 + 2*t^8.505 + 2*t^8.533 + 2*t^8.561 + 2*t^8.746 + 5*t^8.774 + 2*t^8.801 + t^8.958 - t^4.387/y - t^6.467/y - t^6.707/y + t^7.16/y + t^7.401/y + t^7.854/y + (2*t^8.066)/y + (4*t^8.307)/y + t^8.519/y + (2*t^8.547)/y + (2*t^8.76)/y + t^8.787/y - t^4.387*y - t^6.467*y - t^6.707*y + t^7.16*y + t^7.401*y + t^7.854*y + 2*t^8.066*y + 4*t^8.307*y + t^8.519*y + 2*t^8.547*y + 2*t^8.76*y + t^8.787*y | t^2.08/g1^3 + t^2.321/g1^12 + g1^5*t^2.533 + g1^13*t^2.986 + 2*g1^4*t^3.226 + t^3.467/g1^5 + t^3.707/g1^14 + g1^3*t^3.92 + g1^20*t^4.132 + (2*t^4.16)/g1^6 + g1^11*t^4.373 + t^4.401/g1^15 + 2*g1^2*t^4.613 + t^4.641/g1^24 + t^4.854/g1^7 + 2*g1^10*t^5.066 + 3*g1*t^5.307 + g1^18*t^5.519 + (2*t^5.547)/g1^8 + g1^9*t^5.76 + t^5.787/g1^17 + g1^26*t^5.972 - t^6. + t^6.028/g1^26 + 2*g1^17*t^6.213 + (2*t^6.24)/g1^9 + 4*g1^8*t^6.453 + (2*t^6.481)/g1^18 + g1^25*t^6.666 + (4*t^6.693)/g1 + t^6.721/g1^27 + g1^16*t^6.906 + (2*t^6.934)/g1^10 + t^6.962/g1^36 + g1^33*t^7.119 + 2*g1^7*t^7.146 + t^7.174/g1^19 + 2*g1^24*t^7.359 + (3*t^7.387)/g1^2 + t^7.415/g1^28 + 3*g1^15*t^7.599 + (3*t^7.627)/g1^11 + 2*g1^6*t^7.84 + (3*t^7.868)/g1^20 + 2*g1^23*t^8.052 - t^8.08/g1^3 + t^8.108/g1^29 + g1^40*t^8.265 + 3*g1^14*t^8.293 + t^8.348/g1^38 + 2*g1^31*t^8.505 + 2*g1^5*t^8.533 + (2*t^8.561)/g1^21 + 2*g1^22*t^8.746 + (5*t^8.774)/g1^4 + (2*t^8.801)/g1^30 + g1^39*t^8.958 - t^4.387/(g1^2*y) - t^6.467/(g1^5*y) - t^6.707/(g1^14*y) + t^7.16/(g1^6*y) + t^7.401/(g1^15*y) + t^7.854/(g1^7*y) + (2*g1^10*t^8.066)/y + (4*g1*t^8.307)/y + (g1^18*t^8.519)/y + (2*t^8.547)/(g1^8*y) + (2*g1^9*t^8.76)/y + t^8.787/(g1^17*y) - (t^4.387*y)/g1^2 - (t^6.467*y)/g1^5 - (t^6.707*y)/g1^14 + (t^7.16*y)/g1^6 + (t^7.401*y)/g1^15 + (t^7.854*y)/g1^7 + 2*g1^10*t^8.066*y + 4*g1*t^8.307*y + g1^18*t^8.519*y + (2*t^8.547*y)/g1^8 + 2*g1^9*t^8.76*y + (t^8.787*y)/g1^17 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3628 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6856 | 0.8642 | 0.7934 | [M:[1.0716, 0.7852, 0.6963, 1.1605, 0.8395, 1.0716, 0.8395], q:[0.5358, 0.3926], qb:[0.7679, 0.4469], phi:[0.4642]] | t^2.089 + t^2.356 + 2*t^2.519 + t^2.948 + 2*t^3.215 + t^3.748 + t^3.911 + t^4.074 + 2*t^4.178 + t^4.341 + t^4.444 + 3*t^4.607 + t^4.711 + 2*t^4.874 + 4*t^5.037 + 3*t^5.304 + 2*t^5.467 + t^5.57 + 3*t^5.733 + t^5.896 - 2*t^6. - t^4.393/y - t^4.393*y | detail | |
| 3629 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6926 | 0.8801 | 0.7869 | [M:[1.076, 0.7721, 0.693, 1.155, 0.845, 1.076, 0.693], q:[0.538, 0.3861], qb:[0.769, 0.4589], phi:[0.462]] | 2*t^2.079 + t^2.316 + t^2.535 + t^2.991 + 2*t^3.228 + t^3.465 + t^3.702 + t^4.139 + 4*t^4.158 + t^4.377 + 2*t^4.395 + 3*t^4.614 + t^4.633 + t^4.851 + 3*t^5.07 + 5*t^5.307 + t^5.525 + 3*t^5.544 + t^5.763 + 2*t^5.781 + t^5.981 - 2*t^6. - t^4.386/y - t^4.386*y | detail | |
| 3627 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6719 | 0.8402 | 0.7997 | [M:[1.0769, 0.7692, 0.6923, 1.1538, 0.8462, 1.0769], q:[0.5385, 0.3846], qb:[0.7692, 0.4615], phi:[0.4615]] | t^2.077 + t^2.308 + t^2.538 + t^3. + 2*t^3.231 + t^3.462 + t^3.692 + t^3.923 + 3*t^4.154 + 2*t^4.385 + 3*t^4.615 + t^4.846 + 2*t^5.077 + 3*t^5.308 + 3*t^5.538 + 2*t^5.769 + t^6. - t^4.385/y - t^4.385*y | detail | {a: 23619/35152, c: 14767/17576, M1: 14/13, M2: 10/13, M3: 9/13, M4: 15/13, M5: 11/13, M6: 14/13, q1: 7/13, q2: 5/13, qb1: 10/13, qb2: 6/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1953 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6791 | 0.8522 | 0.7969 | [M:[1.0793, 0.762, 0.6905, 1.1508, 0.8492], q:[0.5397, 0.381], qb:[0.7698, 0.4682], phi:[0.4603]] | t^2.071 + t^2.286 + t^2.548 + t^2.762 + t^3.024 + t^3.238 + t^3.452 + t^3.667 + t^3.929 + 2*t^4.143 + t^4.19 + t^4.357 + t^4.405 + t^4.572 + 2*t^4.619 + 2*t^4.833 + t^5.048 + 2*t^5.095 + 3*t^5.31 + 2*t^5.524 + t^5.571 + t^5.738 + t^5.786 + t^5.953 - t^4.381/y - t^4.381*y | detail |