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 |
|---|---|---|---|---|---|---|---|---|---|
| 57491 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3976 | 1.5772 | 0.8861 | [X:[1.3929], M:[0.7688], q:[0.3753, 0.6789], qb:[0.5523, 0.5721], phi:[0.3036]] | [X:[[0, 2]], M:[[3, -3]], q:[[1, 3], [1, 2]], qb:[[-4, 1], [2, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.31 + t^2.73 + t^2.78 + t^2.84 + t^3.69 + 2*t^3.75 + t^4.18 + 2*t^4.6 + t^4.61 + 2*t^4.66 + t^5.04 + t^5.15 + t^5.2 + t^5.46 + 2*t^5.51 + 3*t^5.57 + t^5.63 + t^5.68 - 3*t^6. + t^6.06 + 3*t^6.11 + t^6.43 + t^6.48 + 3*t^6.49 + 3*t^6.54 + 2*t^6.6 - t^6.91 + t^6.92 + t^6.96 + t^6.97 + 3*t^7.02 + t^7.34 + t^7.35 + 3*t^7.39 + 2*t^7.4 + 4*t^7.45 + t^7.46 + 4*t^7.51 + t^7.7 + t^7.77 - t^7.82 + 2*t^7.88 + 3*t^7.93 + t^7.98 + t^7.99 + t^8.04 - t^8.19 + t^8.2 + 4*t^8.3 - t^8.31 + t^8.35 + 6*t^8.36 + t^8.37 + t^8.41 + 6*t^8.42 + t^8.47 + t^8.53 - 3*t^8.73 - 4*t^8.78 + 2*t^8.79 + 4*t^8.89 + t^8.9 + 5*t^8.95 + t^8.73/y^2 - t^3.91/y - t^4.82/y - t^6.22/y - t^6.64/y - t^6.69/y - t^6.75/y - t^7.13/y - t^7.55/y - t^7.6/y - (2*t^7.66)/y + t^8.04/y + t^8.09/y + t^8.15/y - t^8.52/y - t^8.57/y + t^8.63/y - t^8.95/y - t^3.91*y - t^4.82*y - t^6.22*y - t^6.64*y - t^6.69*y - t^6.75*y - t^7.13*y - t^7.55*y - t^7.6*y - 2*t^7.66*y + t^8.04*y + t^8.09*y + t^8.15*y - t^8.52*y - t^8.57*y + t^8.63*y - t^8.95*y + t^8.73*y^2 | (g1^3*t^2.31)/g2^3 + t^2.73/g2^3 + (g2^4*t^2.78)/g1^3 + g1^3*g2^3*t^2.84 + (g2^3*t^3.69)/g1^3 + 2*g1^3*g2^2*t^3.75 + g2^2*t^4.18 + (2*g2^2*t^4.6)/g1^3 + (g1^6*t^4.61)/g2^6 + 2*g1^3*g2*t^4.66 + (g1^3*t^5.04)/g2^6 + g1^6*t^5.15 + g1^3*g2^7*t^5.2 + t^5.46/g2^6 + (2*g2*t^5.51)/g1^3 + 2*g1^3*t^5.57 + (g2^8*t^5.57)/g1^6 + g2^7*t^5.63 + g1^6*g2^6*t^5.68 - 3*t^6. + (g1^6*t^6.06)/g2 + 3*g1^3*g2^6*t^6.11 + t^6.43/g1^3 + (g2^7*t^6.48)/g1^6 + (3*g1^3*t^6.49)/g2 + 3*g2^6*t^6.54 + 2*g1^6*g2^5*t^6.6 - t^6.91/g2 + (g1^9*t^6.92)/g2^9 + (g2^6*t^6.96)/g1^3 + (g1^6*t^6.97)/g2^2 + 3*g1^3*g2^5*t^7.02 + t^7.34/(g1^3*g2) + (g1^6*t^7.35)/g2^9 + (3*g2^6*t^7.39)/g1^6 + (2*g1^3*t^7.4)/g2^2 + 4*g2^5*t^7.45 + (g1^9*t^7.46)/g2^3 + 4*g1^6*g2^4*t^7.51 + t^7.7/g1^12 + (g1^3*t^7.77)/g2^9 - t^7.82/g2^2 + (2*g1^6*t^7.88)/g2^3 + 3*g1^3*g2^4*t^7.93 + g2^11*t^7.98 + g1^9*g2^3*t^7.99 + g1^6*g2^10*t^8.04 - t^8.19/(g1^9*g2) + t^8.2/g2^9 + (4*g2^5*t^8.3)/g1^6 - (g1^3*t^8.31)/g2^3 + (g2^12*t^8.35)/g1^9 + 6*g2^4*t^8.36 + (g1^9*t^8.37)/g2^4 + (g2^11*t^8.41)/g1^3 + 6*g1^6*g2^3*t^8.42 + g1^3*g2^10*t^8.47 + g1^9*g2^9*t^8.53 - (3*t^8.73)/g2^3 - (4*g2^4*t^8.78)/g1^3 + (2*g1^6*t^8.79)/g2^4 + 4*g2^10*t^8.89 + g1^9*g2^2*t^8.9 + 5*g1^6*g2^9*t^8.95 + t^8.73/(g2^3*y^2) - t^3.91/(g2*y) - t^4.82/(g2^2*y) - (g1^3*t^6.22)/(g2^4*y) - t^6.64/(g2^4*y) - (g2^3*t^6.69)/(g1^3*y) - (g1^3*g2^2*t^6.75)/y - (g1^3*t^7.13)/(g2^5*y) - t^7.55/(g2^5*y) - (g2^2*t^7.6)/(g1^3*y) - (2*g1^3*g2*t^7.66)/y + (g1^3*t^8.04)/(g2^6*y) + (g2*t^8.09)/y + (g1^6*t^8.15)/y - (g1^6*t^8.52)/(g2^7*y) - (g1^3*t^8.57)/y + (g2^7*t^8.63)/y - (g1^3*t^8.95)/(g2^7*y) - (t^3.91*y)/g2 - (t^4.82*y)/g2^2 - (g1^3*t^6.22*y)/g2^4 - (t^6.64*y)/g2^4 - (g2^3*t^6.69*y)/g1^3 - g1^3*g2^2*t^6.75*y - (g1^3*t^7.13*y)/g2^5 - (t^7.55*y)/g2^5 - (g2^2*t^7.6*y)/g1^3 - 2*g1^3*g2*t^7.66*y + (g1^3*t^8.04*y)/g2^6 + g2*t^8.09*y + g1^6*t^8.15*y - (g1^6*t^8.52*y)/g2^7 - g1^3*t^8.57*y + g2^7*t^8.63*y - (g1^3*t^8.95*y)/g2^7 + (t^8.73*y^2)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 60195 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3413 | 1.5417 | 0.87 | [X:[1.3059], M:[0.9589], q:[0.2648, 0.6118], qb:[0.4293, 0.6118], phi:[0.347]] | t^2.08 + t^2.63 + t^2.88 + 2*t^3.12 + 2*t^3.67 + t^3.92 + 3*t^4.16 + t^4.47 + 3*t^4.71 + 3*t^5.21 + t^5.26 + 4*t^5.51 + 6*t^5.75 - t^6. - t^4.04/y - t^5.08/y - t^4.04*y - t^5.08*y | detail | |
| 59395 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.3901 | 1.5684 | 0.8864 | [X:[1.3817], M:[0.7857, 1.0725], q:[0.3586, 0.6678], qb:[0.5465, 0.5722], phi:[0.3092]] | t^2.36 + t^2.72 + t^2.79 + t^3.22 + t^3.64 + 2*t^3.72 + t^4.15 + 2*t^4.57 + 2*t^4.65 + t^4.71 + t^5.08 + t^5.15 + t^5.43 + t^5.5 + t^5.51 + 2*t^5.57 + t^5.58 + t^5.93 - 3*t^6. - t^3.93/y - t^4.85/y - t^3.93*y - t^4.85*y | detail | |
| 58976 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.3942 | 1.5683 | 0.889 | [X:[1.4049], M:[0.7665, 1.0188], q:[0.3986, 0.6962], qb:[0.5373, 0.5826], phi:[0.2976]] | t^2.3 + t^2.68 + t^2.81 + t^3.06 + t^3.7 + 2*t^3.84 + t^4.21 + 2*t^4.59 + t^4.6 + 2*t^4.73 + t^4.98 + 2*t^5.36 + t^5.37 + 2*t^5.49 + 2*t^5.62 + t^5.73 + t^5.86 - 3*t^6. - t^3.89/y - t^4.79/y - t^3.89*y - t^4.79*y | detail | |
| 59040 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4161 | 1.6101 | 0.8795 | [X:[1.3983], M:[0.7535, 0.7535], q:[0.381, 0.6819], qb:[0.5646, 0.5673], phi:[0.3009]] | 2*t^2.26 + t^2.71 + 2*t^2.84 + 2*t^3.75 + t^4.19 + 3*t^4.52 + 2*t^4.64 + 2*t^4.65 + 2*t^4.97 + t^5.1 + 2*t^5.11 + t^5.23 + t^5.42 + 2*t^5.54 + 2*t^5.55 + t^5.67 + t^5.68 + t^5.69 - 4*t^6. - t^3.9/y - t^4.81/y - t^3.9*y - t^4.81*y | detail | |
| 58589 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.3693 | 1.5282 | 0.8961 | [X:[1.4583], M:[0.7083], q:[0.4861, 0.7569], qb:[0.5348, 0.5972], phi:[0.2708]] | t^2.12 + t^2.44 + t^3.06 + t^3.25 + t^3.88 + 2*t^4.06 + t^4.25 + t^4.38 + t^4.56 + 2*t^4.69 + 3*t^4.87 + t^5.37 + 2*t^5.5 + 2*t^5.69 - 2*t^6. - t^3.81/y - t^4.62/y - t^5.94/y - t^3.81*y - t^4.62*y - t^5.94*y | detail | |
| 58879 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.8448 | 0.9291 | 0.9093 | [X:[1.5731, 1.3597], M:[0.8537], q:[0.7642, 0.9776], qb:[0.1687, 0.809], phi:[0.2134]] | t^2.56 + t^2.8 + 2*t^3.44 + 3*t^4.08 + 2*t^4.72 + t^5.12 + t^5.6 - 3*t^6. - t^3.64/y - t^4.28/y - t^3.64*y - t^4.28*y | detail | |
| 60504 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 1.3938 | 1.5666 | 0.8897 | [X:[1.4117], M:[0.765], q:[0.4117, 0.7058], qb:[0.5292, 0.5883], phi:[0.2942]] | t^2.29 + t^2.65 + t^2.82 + t^3. + t^3.71 + 2*t^3.88 + t^4.24 + 3*t^4.59 + 2*t^4.76 + t^4.94 + 2*t^5.29 + 3*t^5.47 + 3*t^5.65 + t^5.82 - 2*t^6. - t^3.88/y - t^4.76/y - t^3.88*y - t^4.76*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47917 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4047 | 1.592 | 0.8823 | [X:[1.371], M:[0.7758], q:[0.384, 0.6985], qb:[0.5257, 0.5047], phi:[0.3145]] | t^2.327 + t^2.666 + t^2.729 + t^2.83 + 2*t^3.61 + t^3.673 + t^4.113 + 2*t^4.553 + 2*t^4.616 + t^4.655 + t^4.994 + t^5.158 + t^5.333 + t^5.343 + t^5.396 + t^5.458 + 2*t^5.497 + t^5.549 + 2*t^5.56 + t^5.612 + t^5.661 + t^5.937 - 4*t^6. - t^3.943/y - t^4.887/y - t^3.943*y - t^4.887*y | detail |