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 |
|---|---|---|---|---|---|---|---|---|---|
| 2661 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6522 | 0.7997 | 0.8155 | [M:[1.0406, 0.7733, 0.9738, 0.8401, 1.1599, 1.0931, 1.0262], q:[0.5727, 0.3866], qb:[0.4535, 0.7733], phi:[0.4535]] | [M:[[-18], [2], [-13], [-3], [3], [8], [13]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$ | ${}$ | -1 | t^2.32 + t^2.52 + t^3.079 + t^3.122 + t^3.279 + t^3.48 + t^3.68 + t^3.881 + t^4.038 + t^4.081 + t^4.239 + t^4.439 + t^4.64 + t^4.797 + t^4.84 + t^5.041 + t^5.398 + 2*t^5.599 + t^5.799 - t^6. + t^6.157 + t^6.201 + t^6.244 + t^6.358 + 2*t^6.401 + 2*t^6.558 + t^6.602 + 2*t^6.759 + 2*t^6.959 + 2*t^7.117 + 2*t^7.16 + t^7.203 + 2*t^7.317 + t^7.36 + 2*t^7.518 + 2*t^7.561 + t^7.718 + t^7.761 + t^7.876 + 3*t^7.919 + t^8.076 + 2*t^8.119 + t^8.163 + t^8.277 - t^8.32 + 2*t^8.477 - t^8.52 + t^8.564 + 2*t^8.678 + t^8.835 + 2*t^8.878 - t^4.36/y - t^6.68/y + t^7.239/y - t^7.482/y + t^7.84/y + t^8.041/y + t^8.398/y + t^8.442/y + (2*t^8.599)/y + t^8.642/y + (2*t^8.799)/y - t^4.36*y - t^6.68*y + t^7.239*y - t^7.482*y + t^7.84*y + t^8.041*y + t^8.398*y + t^8.442*y + 2*t^8.599*y + t^8.642*y + 2*t^8.799*y | g1^2*t^2.32 + t^2.52/g1^3 + g1^13*t^3.079 + t^3.122/g1^18 + g1^8*t^3.279 + g1^3*t^3.48 + t^3.68/g1^2 + t^3.881/g1^7 + g1^19*t^4.038 + t^4.081/g1^12 + g1^14*t^4.239 + g1^9*t^4.439 + g1^4*t^4.64 + g1^30*t^4.797 + t^4.84/g1 + t^5.041/g1^6 + g1^15*t^5.398 + 2*g1^10*t^5.599 + g1^5*t^5.799 - t^6. + g1^26*t^6.157 + t^6.201/g1^5 + t^6.244/g1^36 + g1^21*t^6.358 + (2*t^6.401)/g1^10 + 2*g1^16*t^6.558 + t^6.602/g1^15 + 2*g1^11*t^6.759 + 2*g1^6*t^6.959 + 2*g1^32*t^7.117 + 2*g1*t^7.16 + t^7.203/g1^30 + 2*g1^27*t^7.317 + t^7.36/g1^4 + 2*g1^22*t^7.518 + (2*t^7.561)/g1^9 + g1^17*t^7.718 + t^7.761/g1^14 + g1^43*t^7.876 + 3*g1^12*t^7.919 + g1^38*t^8.076 + 2*g1^7*t^8.119 + t^8.163/g1^24 + g1^33*t^8.277 - g1^2*t^8.32 + 2*g1^28*t^8.477 - t^8.52/g1^3 + t^8.564/g1^34 + 2*g1^23*t^8.678 + g1^49*t^8.835 + 2*g1^18*t^8.878 - t^4.36/(g1^4*y) - t^6.68/(g1^2*y) + (g1^14*t^7.239)/y - t^7.482/(g1^22*y) + t^7.84/(g1*y) + t^8.041/(g1^6*y) + (g1^15*t^8.398)/y + t^8.442/(g1^16*y) + (2*g1^10*t^8.599)/y + t^8.642/(g1^21*y) + (2*g1^5*t^8.799)/y - (t^4.36*y)/g1^4 - (t^6.68*y)/g1^2 + g1^14*t^7.239*y - (t^7.482*y)/g1^22 + (t^7.84*y)/g1 + (t^8.041*y)/g1^6 + g1^15*t^8.398*y + (t^8.442*y)/g1^16 + 2*g1^10*t^8.599*y + (t^8.642*y)/g1^21 + 2*g1^5*t^8.799*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 |
|---|---|---|---|---|---|---|---|---|
| 4823 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6661 | 0.8234 | 0.809 | [M:[1.0323, 0.7742, 0.9677, 0.8387, 1.1613, 1.0968, 1.0323, 0.8387], q:[0.5806, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | t^2.323 + 2*t^2.516 + 2*t^3.097 + t^3.29 + t^3.677 + t^3.871 + 2*t^4.065 + t^4.258 + t^4.452 + t^4.645 + 3*t^4.839 + 3*t^5.032 + t^5.419 + 4*t^5.613 + t^5.806 - 2*t^6. - t^4.355/y - t^4.355*y | detail | {a: 5121/7688, c: 3165/3844, M1: 32/31, M2: 24/31, M3: 30/31, M4: 26/31, M5: 36/31, M6: 34/31, M7: 32/31, M8: 26/31, q1: 18/31, q2: 12/31, qb1: 14/31, qb2: 24/31, phi1: 14/31} |
| 4824 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6726 | 0.8389 | 0.8018 | [M:[1.046, 0.7727, 0.9777, 0.841, 1.159, 1.0907, 1.0223, 0.7043], q:[0.5676, 0.3863], qb:[0.4547, 0.7727], phi:[0.4547]] | t^2.113 + t^2.318 + t^2.523 + t^3.067 + t^3.138 + t^3.272 + t^3.477 + t^3.682 + t^4.021 + t^4.092 + 2*t^4.226 + 2*t^4.431 + 2*t^4.636 + t^4.77 + t^4.841 + t^5.046 + t^5.18 + t^5.251 + 2*t^5.385 + 3*t^5.59 + 2*t^5.795 - t^6. - t^4.364/y - t^4.364*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1543 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6562 | 0.8056 | 0.8146 | [M:[0.994, 0.7784, 0.9401, 0.8323, 1.1677, 1.1138], q:[0.6167, 0.3892], qb:[0.4431, 0.7784], phi:[0.4431]] | t^2.335 + t^2.497 + t^2.82 + t^2.982 + t^3.341 + t^3.503 + t^3.665 + t^3.826 + t^3.988 + t^4.186 + t^4.347 + t^4.509 + t^4.671 + t^4.832 + t^4.994 + t^5.03 + t^5.156 + t^5.317 + t^5.641 + t^5.677 + t^5.803 + t^5.838 + t^5.964 - t^6. - t^4.329/y - t^4.329*y | detail |