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 |
|---|---|---|---|---|---|---|---|---|---|
| 555 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ | 0.5462 | 0.7009 | 0.7793 | [M:[1.049, 0.853, 1.147, 0.853], q:[0.7622, 0.1888], qb:[0.4827, 0.6643], phi:[0.4755]] | [M:[[-4], [12], [-12], [12]], q:[[-1], [5]], qb:[[-19], [7]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$ | 0 | t^2.014 + 3*t^2.559 + t^2.853 + t^3.147 + t^3.441 + t^3.735 + t^3.986 + t^4.029 + t^4.28 + t^4.323 + 2*t^4.573 + 2*t^4.867 + 5*t^5.118 + t^5.161 + 4*t^5.412 + 2*t^5.706 + t^5.749 + t^6.043 + 3*t^6.294 + t^6.337 + t^6.545 + 2*t^6.588 + 2*t^6.839 + 3*t^6.882 + 2*t^7.133 + 2*t^7.176 + 2*t^7.427 + t^7.47 + 7*t^7.677 + t^7.72 + 2*t^7.764 + 7*t^7.971 - t^8.014 + 2*t^8.058 + 3*t^8.265 + t^8.308 + t^8.352 - 4*t^8.559 + 2*t^8.602 + t^8.646 + 2*t^8.896 - t^4.427/y - t^6.986/y + (3*t^7.573)/y + (2*t^7.867)/y + (3*t^8.118)/y + t^8.161/y + (3*t^8.412)/y + t^8.455/y + (3*t^8.706)/y + t^8.749/y - t^4.427*y - t^6.986*y + 3*t^7.573*y + 2*t^7.867*y + 3*t^8.118*y + t^8.161*y + 3*t^8.412*y + t^8.455*y + 3*t^8.706*y + t^8.749*y | t^2.014/g1^14 + 3*g1^12*t^2.559 + g1^4*t^2.853 + t^3.147/g1^4 + t^3.441/g1^12 + t^3.735/g1^20 + g1^14*t^3.986 + t^4.029/g1^28 + g1^6*t^4.28 + t^4.323/g1^36 + (2*t^4.573)/g1^2 + (2*t^4.867)/g1^10 + 5*g1^24*t^5.118 + t^5.161/g1^18 + 4*g1^16*t^5.412 + 2*g1^8*t^5.706 + t^5.749/g1^34 + t^6.043/g1^42 + (3*t^6.294)/g1^8 + t^6.337/g1^50 + g1^26*t^6.545 + (2*t^6.588)/g1^16 + 2*g1^18*t^6.839 + (3*t^6.882)/g1^24 + 2*g1^10*t^7.133 + (2*t^7.176)/g1^32 + 2*g1^2*t^7.427 + t^7.47/g1^40 + 7*g1^36*t^7.677 + t^7.72/g1^6 + (2*t^7.764)/g1^48 + 7*g1^28*t^7.971 - t^8.014/g1^14 + (2*t^8.058)/g1^56 + 3*g1^20*t^8.265 + t^8.308/g1^22 + t^8.352/g1^64 - 4*g1^12*t^8.559 + (2*t^8.602)/g1^30 + t^8.646/g1^72 + (2*t^8.896)/g1^38 - (g1^2*t^4.427)/y - (g1^14*t^6.986)/y + (3*t^7.573)/(g1^2*y) + (2*t^7.867)/(g1^10*y) + (3*g1^24*t^8.118)/y + t^8.161/(g1^18*y) + (3*g1^16*t^8.412)/y + t^8.455/(g1^26*y) + (3*g1^8*t^8.706)/y + t^8.749/(g1^34*y) - g1^2*t^4.427*y - g1^14*t^6.986*y + (3*t^7.573*y)/g1^2 + (2*t^7.867*y)/g1^10 + 3*g1^24*t^8.118*y + (t^8.161*y)/g1^18 + 3*g1^16*t^8.412*y + (t^8.455*y)/g1^26 + 3*g1^8*t^8.706*y + (t^8.749*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 870 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.567 | 0.7423 | 0.7639 | [M:[1.0488, 0.8535, 1.1465, 0.8535, 0.6709], q:[0.7622, 0.189], qb:[0.4819, 0.6646], phi:[0.4756]] | 2*t^2.013 + 3*t^2.561 + t^2.854 + t^3.146 + t^3.439 + t^3.732 + 3*t^4.025 + t^4.28 + t^4.318 + 5*t^4.573 + 3*t^4.866 + 5*t^5.121 + 2*t^5.159 + 4*t^5.414 + t^5.452 + 2*t^5.707 + 2*t^5.745 - t^6. - t^4.427/y - t^4.427*y | detail | |
| 1891 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.5654 | 0.7365 | 0.7678 | [M:[1.0526, 0.8423, 1.1577, 0.8423, 0.7371], q:[0.7631, 0.1843], qb:[0.4997, 0.658], phi:[0.4737]] | t^2.052 + t^2.211 + 3*t^2.527 + t^2.842 + t^3.158 + t^3.473 + t^3.948 + t^4.104 + 2*t^4.263 + t^4.419 + t^4.423 + 2*t^4.579 + 3*t^4.738 + 2*t^4.894 + 6*t^5.054 + t^5.21 + 5*t^5.369 + 3*t^5.685 - t^4.421/y - t^4.421*y | detail | |
| 1890 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.5438 | 0.6982 | 0.7789 | [M:[1.0588, 0.8235, 1.1765, 0.8235], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | t^2.118 + 3*t^2.471 + t^2.824 + t^3.176 + t^3.529 + 2*t^3.882 + 2*t^4.235 + 3*t^4.588 + 7*t^4.941 + 5*t^5.294 + 2*t^5.647 + t^6. - t^4.412/y - t^4.412*y | detail | {a: 21375/39304, c: 6861/9826, M1: 18/17, M2: 14/17, M3: 20/17, M4: 14/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 351 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6172 | 0.7998 | 0.7717 | [M:[0.9566, 1.1301, 0.8699, 0.7306], q:[0.7392, 0.3042], qb:[0.4435, 0.4264], phi:[0.5217]] | 2*t^2.192 + t^2.243 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.497 + t^3.548 + t^3.757 + t^4.124 + t^4.175 + t^4.226 + 3*t^4.384 + 2*t^4.435 + t^4.486 + 2*t^4.802 + t^4.853 + 2*t^5.062 + t^5.113 + t^5.219 + 2*t^5.322 + t^5.373 + t^5.48 + t^5.582 + 2*t^5.689 + 4*t^5.74 + t^5.791 + t^5.949 - t^6. - t^4.565/y - t^4.565*y | detail |