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 |
|---|---|---|---|---|---|---|---|---|---|
| 46983 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.5895 | 0.7432 | 0.7932 | [X:[1.3776, 1.3265], M:[0.6224, 0.6735, 1.0, 0.7551, 1.0816], q:[0.7704, 0.6072], qb:[0.5561, 0.2296], phi:[0.4592]] | [X:[[-6], [16]], M:[[6], [-16], [0], [-12], [4]], q:[[1], [-7]], qb:[[15], [-1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | -1 | t^2.265 + t^2.357 + t^2.51 + t^2.755 + t^3. + t^3.245 + t^3.49 + t^3.888 + t^3.979 + t^4.133 + t^4.531 + t^4.622 + 2*t^4.714 + t^4.776 + t^4.867 + 2*t^5.021 + t^5.112 + 2*t^5.265 + t^5.357 + 3*t^5.51 + t^5.602 + 2*t^5.755 - t^6. + 2*t^6.245 + t^6.336 + t^6.398 + 2*t^6.49 + t^6.643 + t^6.796 + t^6.888 + 2*t^6.979 + t^7.041 + 2*t^7.071 + t^7.133 + t^7.224 + 2*t^7.286 + t^7.378 + 2*t^7.469 + 2*t^7.531 + t^7.714 + 4*t^7.776 + 2*t^7.867 + 2*t^7.959 + 4*t^8.021 + t^8.112 + t^8.204 + t^8.265 - 2*t^8.357 + t^8.602 + t^8.664 + 2*t^8.693 - t^8.755 + 2*t^8.847 + t^8.908 - t^4.378/y - t^6.643/y + t^7.622/y + t^7.776/y + t^7.867/y + t^8.021/y + (2*t^8.112)/y + (2*t^8.265)/y + t^8.357/y + (2*t^8.51)/y + t^8.602/y + (3*t^8.755)/y + t^8.847/y - t^8.908/y - t^4.378*y - t^6.643*y + t^7.622*y + t^7.776*y + t^7.867*y + t^8.021*y + 2*t^8.112*y + 2*t^8.265*y + t^8.357*y + 2*t^8.51*y + t^8.602*y + 3*t^8.755*y + t^8.847*y - t^8.908*y | t^2.265/g1^12 + g1^14*t^2.357 + t^2.51/g1^8 + t^2.755/g1^4 + t^3. + g1^4*t^3.245 + g1^8*t^3.49 + t^3.888/g1^10 + g1^16*t^3.979 + t^4.133/g1^6 + t^4.531/g1^24 + g1^2*t^4.622 + 2*g1^28*t^4.714 + t^4.776/g1^20 + g1^6*t^4.867 + (2*t^5.021)/g1^16 + g1^10*t^5.112 + (2*t^5.265)/g1^12 + g1^14*t^5.357 + (3*t^5.51)/g1^8 + g1^18*t^5.602 + (2*t^5.755)/g1^4 - t^6. + 2*g1^4*t^6.245 + g1^30*t^6.336 + t^6.398/g1^18 + 2*g1^8*t^6.49 + t^6.643/g1^14 + t^6.796/g1^36 + t^6.888/g1^10 + 2*g1^16*t^6.979 + t^7.041/g1^32 + 2*g1^42*t^7.071 + t^7.133/g1^6 + g1^20*t^7.224 + (2*t^7.286)/g1^28 + t^7.378/g1^2 + 2*g1^24*t^7.469 + (2*t^7.531)/g1^24 + g1^28*t^7.714 + (4*t^7.776)/g1^20 + 2*g1^6*t^7.867 + 2*g1^32*t^7.959 + (4*t^8.021)/g1^16 + g1^10*t^8.112 + g1^36*t^8.204 + t^8.265/g1^12 - 2*g1^14*t^8.357 + g1^18*t^8.602 + t^8.664/g1^30 + 2*g1^44*t^8.693 - t^8.755/g1^4 + 2*g1^22*t^8.847 + t^8.908/g1^26 - t^4.378/(g1^2*y) - t^6.643/(g1^14*y) + (g1^2*t^7.622)/y + t^7.776/(g1^20*y) + (g1^6*t^7.867)/y + t^8.021/(g1^16*y) + (2*g1^10*t^8.112)/y + (2*t^8.265)/(g1^12*y) + (g1^14*t^8.357)/y + (2*t^8.51)/(g1^8*y) + (g1^18*t^8.602)/y + (3*t^8.755)/(g1^4*y) + (g1^22*t^8.847)/y - t^8.908/(g1^26*y) - (t^4.378*y)/g1^2 - (t^6.643*y)/g1^14 + g1^2*t^7.622*y + (t^7.776*y)/g1^20 + g1^6*t^7.867*y + (t^8.021*y)/g1^16 + 2*g1^10*t^8.112*y + (2*t^8.265*y)/g1^12 + g1^14*t^8.357*y + (2*t^8.51*y)/g1^8 + g1^18*t^8.602*y + (3*t^8.755*y)/g1^4 + g1^22*t^8.847*y - (t^8.908*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55129 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.61 | 0.7825 | 0.7796 | [X:[1.3798, 1.3204], M:[0.6202, 0.6796, 1.0, 0.7597, 1.0801, 0.7003], q:[0.77, 0.6098], qb:[0.5504, 0.23], phi:[0.4599]] | t^2.101 + t^2.279 + t^2.341 + t^2.519 + t^2.76 + t^3. + t^3.24 + t^3.481 + t^3.961 + t^4.14 + t^4.202 + t^4.38 + t^4.442 + t^4.558 + 2*t^4.62 + 2*t^4.682 + t^4.798 + 2*t^4.86 + 2*t^5.039 + 2*t^5.101 + 2*t^5.279 + 2*t^5.341 + 3*t^5.519 + 2*t^5.581 + 2*t^5.76 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 55361 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.5822 | 0.7311 | 0.7964 | [X:[1.382, 1.3146], M:[0.618, 0.6854, 1.0, 0.7641, 1.0786, 1.0786], q:[0.7697, 0.6124], qb:[0.5449, 0.2303], phi:[0.4607]] | t^2.292 + t^2.326 + t^2.528 + t^3. + 2*t^3.236 + t^3.472 + t^3.91 + t^3.944 + t^4.146 + t^4.584 + t^4.618 + 2*t^4.652 + t^4.82 + t^4.854 + t^5.056 + t^5.292 + t^5.326 + 3*t^5.528 + 2*t^5.562 + 2*t^5.764 - 2*t^6. - t^4.382/y - t^4.382*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46609 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ | 0.5972 | 0.7561 | 0.7898 | [X:[1.3731, 1.3384], M:[0.6269, 0.6616, 1.0, 0.7462], q:[0.7712, 0.6019], qb:[0.5673, 0.2288], phi:[0.4577]] | t^2.239 + t^2.388 + t^2.492 + 2*t^2.746 + t^3. + t^3.508 + t^3.865 + t^4.015 + t^4.119 + t^4.477 + t^4.627 + t^4.731 + 2*t^4.777 + t^4.881 + 3*t^4.985 + 2*t^5.135 + 3*t^5.239 + t^5.388 + 4*t^5.492 + 2*t^5.746 - 2*t^6. - t^4.373/y - t^4.373*y | detail |