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 |
|---|---|---|---|---|---|---|---|---|---|
| 2385 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5909 | 0.7517 | 0.786 | [M:[0.6939, 1.1466, 1.013, 0.7199, 0.987, 1.2801, 0.7199], q:[0.9332, 0.3729], qb:[0.3469, 0.6401], phi:[0.4267]] | [M:[[22], [-4], [-14], [-6], [14], [6], [-6]], q:[[-5], [-17]], qb:[[11], [3]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.082 + 2*t^2.16 + t^2.961 + t^3.039 + t^3.362 + 2*t^3.44 + t^3.518 + t^4.163 + 2*t^4.241 + 3*t^4.319 + t^4.72 + t^5.043 + 3*t^5.121 + 2*t^5.199 + t^5.443 + 3*t^5.521 + 4*t^5.599 + 2*t^5.677 - 2*t^6. + t^6.245 + 3*t^6.323 + 4*t^6.401 + 5*t^6.479 + t^6.557 + t^6.724 + t^6.801 + 2*t^6.879 + t^6.957 + t^7.035 + t^7.124 + 2*t^7.202 + 2*t^7.28 + t^7.358 + t^7.525 + 3*t^7.603 + 4*t^7.681 + 5*t^7.759 + 3*t^7.837 - 2*t^8.082 - 4*t^8.16 + t^8.327 + 3*t^8.404 + 5*t^8.482 + 5*t^8.56 + 6*t^8.638 + 2*t^8.716 + t^8.805 + 2*t^8.883 - 2*t^8.961 - t^4.28/y - t^6.362/y - t^6.44/y + (2*t^7.241)/y + t^7.319/y + t^8.043/y + (4*t^8.121)/y + (3*t^8.199)/y + (3*t^8.521)/y + (4*t^8.599)/y + (2*t^8.677)/y - t^4.28*y - t^6.362*y - t^6.44*y + 2*t^7.241*y + t^7.319*y + t^8.043*y + 4*t^8.121*y + 3*t^8.199*y + 3*t^8.521*y + 4*t^8.599*y + 2*t^8.677*y | g1^22*t^2.082 + (2*t^2.16)/g1^6 + g1^14*t^2.961 + t^3.039/g1^14 + g1^24*t^3.362 + (2*t^3.44)/g1^4 + t^3.518/g1^32 + g1^44*t^4.163 + 2*g1^16*t^4.241 + (3*t^4.319)/g1^12 + t^4.72/g1^2 + g1^36*t^5.043 + 3*g1^8*t^5.121 + (2*t^5.199)/g1^20 + g1^46*t^5.443 + 3*g1^18*t^5.521 + (4*t^5.599)/g1^10 + (2*t^5.677)/g1^38 - 2*t^6. + g1^66*t^6.245 + 3*g1^38*t^6.323 + 4*g1^10*t^6.401 + (5*t^6.479)/g1^18 + t^6.557/g1^46 + g1^48*t^6.724 + g1^20*t^6.801 + (2*t^6.879)/g1^8 + t^6.957/g1^36 + t^7.035/g1^64 + g1^58*t^7.124 + 2*g1^30*t^7.202 + 2*g1^2*t^7.28 + t^7.358/g1^26 + g1^68*t^7.525 + 3*g1^40*t^7.603 + 4*g1^12*t^7.681 + (5*t^7.759)/g1^16 + (3*t^7.837)/g1^44 - 2*g1^22*t^8.082 - (4*t^8.16)/g1^6 + g1^88*t^8.327 + 3*g1^60*t^8.404 + 5*g1^32*t^8.482 + 5*g1^4*t^8.56 + (6*t^8.638)/g1^24 + (2*t^8.716)/g1^52 + g1^70*t^8.805 + 2*g1^42*t^8.883 - 2*g1^14*t^8.961 - (g1^2*t^4.28)/y - (g1^24*t^6.362)/y - t^6.44/(g1^4*y) + (2*g1^16*t^7.241)/y + t^7.319/(g1^12*y) + (g1^36*t^8.043)/y + (4*g1^8*t^8.121)/y + (3*t^8.199)/(g1^20*y) + (3*g1^18*t^8.521)/y + (4*t^8.599)/(g1^10*y) + (2*t^8.677)/(g1^38*y) - g1^2*t^4.28*y - g1^24*t^6.362*y - (t^6.44*y)/g1^4 + 2*g1^16*t^7.241*y + (t^7.319*y)/g1^12 + g1^36*t^8.043*y + 4*g1^8*t^8.121*y + (3*t^8.199*y)/g1^20 + 3*g1^18*t^8.521*y + (4*t^8.599*y)/g1^10 + (2*t^8.677*y)/g1^38 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4400 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5814 | 0.7418 | 0.7839 | [M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.6957], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | 2*t^2.087 + t^2.348 + t^2.87 + 2*t^3.13 + 2*t^3.391 + t^3.652 + 3*t^4.174 + 2*t^4.435 + 2*t^4.696 + 2*t^4.957 + 5*t^5.217 + 5*t^5.478 + 3*t^5.739 - t^4.304/y - t^4.304*y | detail | {a: 113187/194672, c: 72199/97336, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 16/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
| 4410 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{1}X_{1}$ | 0.5864 | 0.74 | 0.7924 | [X:[1.3391], M:[0.6609, 1.1526, 1.034, 0.7288, 0.966, 1.2712, 0.7288, 0.7795], q:[0.9407, 0.3984], qb:[0.3304, 0.6356], phi:[0.4237]] | 2*t^2.187 + t^2.338 + t^2.898 + t^3.102 + t^3.254 + 2*t^3.458 + t^4.017 + 3*t^4.373 + 2*t^4.525 + t^4.677 + t^4.729 + 2*t^5.085 + t^5.237 + 2*t^5.288 + 2*t^5.44 + t^5.592 + 3*t^5.644 + 2*t^5.796 - 2*t^6. - t^4.271/y - t^4.271*y | detail | |
| 4409 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6032 | 0.7736 | 0.7797 | [M:[0.727, 1.1406, 0.9919, 0.7108, 1.0081, 1.2892, 0.7108, 0.8433], q:[0.9257, 0.3474], qb:[0.3635, 0.6446], phi:[0.4297]] | 2*t^2.132 + t^2.181 + t^2.53 + t^2.976 + t^3.024 + t^3.373 + 2*t^3.422 + 3*t^4.265 + 2*t^4.313 + t^4.362 + 2*t^4.662 + 2*t^4.711 + t^5.06 + 2*t^5.108 + 3*t^5.157 + t^5.205 + 3*t^5.506 + 5*t^5.554 + t^5.603 + t^5.903 + 2*t^5.952 - 2*t^6. - t^4.289/y - t^4.289*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1329 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ | 0.7018 | 0.8592 | 0.8168 | [M:[0.8944, 1.0363, 1.0329, 0.9602, 0.9671, 1.0398, 0.9602], q:[0.5926, 0.513], qb:[0.4472, 0.5199], phi:[0.4818]] | t^2.683 + 2*t^2.881 + t^2.901 + t^3.099 + t^3.109 + t^3.337 + t^4.129 + t^4.326 + t^4.347 + t^4.523 + t^4.544 + 2*t^4.565 + t^4.762 + t^4.783 + t^5.001 + t^5.367 + t^5.564 + t^5.585 + 2*t^5.761 + t^5.782 + t^5.792 + t^5.979 + 2*t^5.99 - 3*t^6. - t^4.445/y - t^4.445*y | detail |