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 |
|---|---|---|---|---|---|---|---|---|---|
| 1691 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}X_{1}$ | 0.6779 | 0.8353 | 0.8115 | [X:[1.3337], M:[1.0377, 1.1109, 0.9634, 0.6663, 0.7406, 0.8149, 1.0366], q:[0.7777, 0.4074], qb:[0.5549, 0.4817], phi:[0.4446]] | [X:[[18]], M:[[32], [-12], [22], [-18], [-8], [2], [-22]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{7}\phi_{1}^{2}$ | ${}$ | -1 | t^2.222 + t^2.445 + t^2.667 + t^3.11 + t^3.113 + t^3.333 + t^3.778 + t^3.998 + t^4.001 + t^4.221 + t^4.224 + 2*t^4.444 + t^4.663 + t^4.666 + 2*t^4.889 + t^5.112 + t^5.332 + 2*t^5.335 + 2*t^5.554 + t^5.777 - t^6. + t^6.22 + t^6.223 + t^6.226 + 2*t^6.442 + 3*t^6.446 + 3*t^6.665 + t^6.668 + t^6.885 + 2*t^6.888 + t^6.891 + 2*t^7.108 + 2*t^7.111 + 2*t^7.331 + 2*t^7.334 + t^7.337 + t^7.553 + 3*t^7.556 + t^7.773 + 2*t^7.776 + t^7.779 + t^7.996 + 2*t^7.999 + 2*t^8.002 + 2*t^8.441 - t^8.445 + 2*t^8.448 + t^8.661 + 2*t^8.664 + t^8.667 + t^8.671 + t^8.884 + 4*t^8.887 - t^4.334/y - t^6.555/y - t^6.778/y + t^7.221/y - t^7.447/y + t^7.666/y + (2*t^7.889)/y + (2*t^8.112)/y + t^8.332/y + t^8.335/y + (2*t^8.554)/y + t^8.558/y + t^8.777/y + t^8.78/y - t^4.334*y - t^6.555*y - t^6.778*y + t^7.221*y - t^7.447*y + t^7.666*y + 2*t^7.889*y + 2*t^8.112*y + t^8.332*y + t^8.335*y + 2*t^8.554*y + t^8.558*y + t^8.777*y + t^8.78*y | t^2.222/g1^8 + g1^2*t^2.445 + g1^12*t^2.667 + t^3.11/g1^22 + g1^32*t^3.113 + t^3.333/g1^12 + g1^8*t^3.778 + t^3.998/g1^36 + g1^18*t^4.001 + t^4.221/g1^26 + g1^28*t^4.224 + (2*t^4.444)/g1^16 + t^4.663/g1^60 + t^4.666/g1^6 + 2*g1^4*t^4.889 + g1^14*t^5.112 + t^5.332/g1^30 + 2*g1^24*t^5.335 + (2*t^5.554)/g1^20 + t^5.777/g1^10 - t^6. + t^6.22/g1^44 + g1^10*t^6.223 + g1^64*t^6.226 + (2*t^6.442)/g1^34 + 3*g1^20*t^6.446 + (3*t^6.665)/g1^24 + g1^30*t^6.668 + t^6.885/g1^68 + (2*t^6.888)/g1^14 + g1^40*t^6.891 + (2*t^7.108)/g1^58 + (2*t^7.111)/g1^4 + (2*t^7.331)/g1^48 + 2*g1^6*t^7.334 + g1^60*t^7.337 + t^7.553/g1^38 + 3*g1^16*t^7.556 + t^7.773/g1^82 + (2*t^7.776)/g1^28 + g1^26*t^7.779 + t^7.996/g1^72 + (2*t^7.999)/g1^18 + 2*g1^36*t^8.002 + (2*t^8.441)/g1^52 - g1^2*t^8.445 + 2*g1^56*t^8.448 + t^8.661/g1^96 + (2*t^8.664)/g1^42 + g1^12*t^8.667 + g1^66*t^8.671 + t^8.884/g1^86 + (4*t^8.887)/g1^32 - (g1^6*t^4.334)/y - t^6.555/(g1^2*y) - (g1^8*t^6.778)/y + t^7.221/(g1^26*y) - (g1^38*t^7.447)/y + t^7.666/(g1^6*y) + (2*g1^4*t^7.889)/y + (2*g1^14*t^8.112)/y + t^8.332/(g1^30*y) + (g1^24*t^8.335)/y + (2*t^8.554)/(g1^20*y) + (g1^34*t^8.558)/y + t^8.777/(g1^10*y) + (g1^44*t^8.78)/y - g1^6*t^4.334*y - (t^6.555*y)/g1^2 - g1^8*t^6.778*y + (t^7.221*y)/g1^26 - g1^38*t^7.447*y + (t^7.666*y)/g1^6 + 2*g1^4*t^7.889*y + 2*g1^14*t^8.112*y + (t^8.332*y)/g1^30 + g1^24*t^8.335*y + (2*t^8.554*y)/g1^20 + g1^34*t^8.558*y + (t^8.777*y)/g1^10 + g1^44*t^8.78*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 |
|---|---|---|---|---|---|---|---|---|
| 4080 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{8}$ | 0.6881 | 0.8524 | 0.8073 | [X:[1.3242], M:[1.0209, 1.1172, 0.9518, 0.6758, 0.7448, 0.8138, 1.0482, 0.8828], q:[0.7793, 0.4069], qb:[0.5722, 0.4759], phi:[0.4414]] | t^2.234 + t^2.441 + 2*t^2.648 + t^3.063 + t^3.144 + t^3.766 + t^3.973 + t^4.055 + t^4.18 + t^4.262 + 2*t^4.469 + t^4.676 + t^4.758 + 3*t^4.883 + 2*t^5.09 + 4*t^5.297 + t^5.379 + t^5.586 + t^5.711 + t^5.793 - 2*t^6. - t^4.324/y - t^4.324*y | detail | |
| 4079 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{8}$ | 0.6585 | 0.7996 | 0.8235 | [X:[1.3308], M:[1.0326, 1.1128, 0.9599, 0.6692, 0.7419, 0.8145, 1.0401, 1.2581], q:[0.7782, 0.4073], qb:[0.5602, 0.4799], phi:[0.4436]] | t^2.444 + t^2.662 + t^3.098 + t^3.12 + t^3.338 + 2*t^3.774 + t^3.992 + t^4.015 + t^4.211 + t^4.233 + t^4.451 + t^4.692 + t^4.887 + t^5.105 + t^5.323 + t^5.564 + t^5.782 - 2*t^6. - t^4.331/y - t^4.331*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1089 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.7031 | 0.883 | 0.7963 | [M:[1.0063, 1.1227, 0.9418, 0.684, 0.7484, 0.8129], q:[0.7807, 0.4064], qb:[0.5873, 0.4709], phi:[0.4387]] | t^2.052 + t^2.245 + t^2.439 + t^2.632 + t^2.825 + t^3.019 + t^3.368 + t^3.755 + 2*t^4.104 + t^4.141 + 2*t^4.297 + 3*t^4.491 + 2*t^4.684 + t^4.84 + 3*t^4.877 + 3*t^5.071 + 3*t^5.264 + t^5.42 + t^5.457 + t^5.613 + t^5.651 + t^5.807 + t^5.844 - t^6. - t^4.316/y - t^4.316*y | detail | {a: 2701375/3841992, c: 424037/480249, M1: 2092/2079, M2: 778/693, M3: 178/189, M4: 158/231, M5: 1556/2079, M6: 1690/2079, q1: 541/693, q2: 845/2079, qb1: 37/63, qb2: 89/189, phi1: 304/693} |