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 |
|---|---|---|---|---|---|---|---|---|---|
| 741 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6139 | 0.7503 | 0.8182 | [M:[0.8066, 0.7845, 1.1934, 0.8177, 1.2044], q:[0.8011, 0.8011], qb:[0.3923, 0.4144], phi:[0.3978]] | [M:[[6], [-14], [-6], [16], [4]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{1}\tilde{q}_{1}$ | ${}M_{2}q_{1}\tilde{q}_{2}$ | 0 | t^2.354 + t^2.42 + t^2.453 + 2*t^3.58 + 2*t^3.613 + t^3.646 + t^3.68 + t^4.707 + t^4.773 + 2*t^4.807 + t^4.84 + t^4.873 + t^4.906 + t^5.934 + 3*t^6.033 + 2*t^6.066 + 2*t^6.099 + t^6.133 + t^7.061 + 2*t^7.16 + t^7.193 + 2*t^7.227 + 4*t^7.26 + 3*t^7.293 + 2*t^7.326 + 2*t^7.359 + t^8.287 - 2*t^8.354 + t^8.387 - t^8.42 + 3*t^8.486 + 3*t^8.519 + 2*t^8.552 + t^8.586 - t^4.193/y - t^6.547/y - t^6.646/y + t^7.74/y + t^7.773/y + t^7.807/y + t^7.84/y + t^7.873/y - t^8.901/y + (2*t^8.934)/y + (2*t^8.967)/y - t^4.193*y - t^6.547*y - t^6.646*y + t^7.74*y + t^7.773*y + t^7.807*y + t^7.84*y + t^7.873*y - t^8.901*y + 2*t^8.934*y + 2*t^8.967*y | t^2.354/g1^14 + g1^6*t^2.42 + g1^16*t^2.453 + (2*t^3.58)/g1^6 + 2*g1^4*t^3.613 + g1^14*t^3.646 + g1^24*t^3.68 + t^4.707/g1^28 + t^4.773/g1^8 + 2*g1^2*t^4.807 + g1^12*t^4.84 + g1^22*t^4.873 + g1^32*t^4.906 + t^5.934/g1^20 + 3*g1^10*t^6.033 + 2*g1^20*t^6.066 + 2*g1^30*t^6.099 + g1^40*t^6.133 + t^7.061/g1^42 + (2*t^7.16)/g1^12 + t^7.193/g1^2 + 2*g1^8*t^7.227 + 4*g1^18*t^7.26 + 3*g1^28*t^7.293 + 2*g1^38*t^7.326 + 2*g1^48*t^7.359 + t^8.287/g1^34 - (2*t^8.354)/g1^14 + t^8.387/g1^4 - g1^6*t^8.42 + 3*g1^26*t^8.486 + 3*g1^36*t^8.519 + 2*g1^46*t^8.552 + g1^56*t^8.586 - t^4.193/(g1^2*y) - t^6.547/(g1^16*y) - (g1^14*t^6.646)/y + t^7.74/(g1^18*y) + t^7.773/(g1^8*y) + (g1^2*t^7.807)/y + (g1^12*t^7.84)/y + (g1^22*t^7.873)/y - t^8.901/(g1^30*y) + (2*t^8.934)/(g1^20*y) + (2*t^8.967)/(g1^10*y) - (t^4.193*y)/g1^2 - (t^6.547*y)/g1^16 - g1^14*t^6.646*y + (t^7.74*y)/g1^18 + (t^7.773*y)/g1^8 + g1^2*t^7.807*y + g1^12*t^7.84*y + g1^22*t^7.873*y - (t^8.901*y)/g1^30 + (2*t^8.934*y)/g1^20 + (2*t^8.967*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1216 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.597 | 0.7227 | 0.8262 | [M:[0.798, 0.8047, 1.202, 0.7946, 1.1987, 1.1953], q:[0.7997, 0.7997], qb:[0.4023, 0.3957], phi:[0.4007]] | t^2.384 + t^2.394 + t^3.576 + 2*t^3.586 + 2*t^3.596 + 2*t^3.606 + t^4.768 + t^4.778 + t^4.788 + t^4.798 + t^5.96 + 3*t^5.97 + 3*t^5.98 + 2*t^5.99 - t^6. - t^4.202/y - t^4.202*y | detail | |
| 1217 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6327 | 0.784 | 0.807 | [M:[0.8155, 0.7639, 1.1845, 0.8412, 1.2103, 0.7382], q:[0.8026, 0.8026], qb:[0.382, 0.4335], phi:[0.3948]] | t^2.215 + t^2.292 + t^2.446 + t^2.524 + 2*t^3.554 + 2*t^3.631 + t^3.708 + t^4.429 + t^4.506 + t^4.584 + t^4.661 + 2*t^4.738 + 2*t^4.815 + t^4.893 + t^4.97 + t^5.047 + 2*t^5.768 + 3*t^5.845 + t^5.923 - t^4.185/y - t^4.185*y | detail | |
| 1986 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6317 | 0.7814 | 0.8084 | [M:[0.8136, 0.7684, 1.1864, 0.8362, 1.209, 0.7684], q:[0.8023, 0.8023], qb:[0.3842, 0.4294], phi:[0.3955]] | 2*t^2.305 + t^2.441 + t^2.508 + 2*t^3.559 + 2*t^3.627 + t^3.763 + 3*t^4.61 + 2*t^4.746 + 3*t^4.814 + t^4.881 + t^4.949 + t^5.017 + 3*t^5.864 + 2*t^5.932 - t^6. - t^4.186/y - t^4.186*y | detail | {a: 26387/41772, c: 32641/41772, M1: 48/59, M2: 136/177, M3: 70/59, M4: 148/177, M5: 214/177, M6: 136/177, q1: 142/177, q2: 142/177, qb1: 68/177, qb2: 76/177, phi1: 70/177} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 442 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6307 | 0.7795 | 0.809 | [M:[0.809, 0.779, 1.191, 0.824], q:[0.8015, 0.8015], qb:[0.3895, 0.4195], phi:[0.397]] | t^2.337 + t^2.382 + t^2.427 + t^2.472 + 2*t^3.573 + t^3.618 + t^3.663 + t^3.708 + t^4.674 + t^4.719 + 2*t^4.764 + 3*t^4.809 + 2*t^4.854 + t^4.899 + t^4.944 + t^5.91 + t^5.955 + t^6. - t^4.191/y - t^4.191*y | detail |