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 |
|---|---|---|---|---|---|---|---|---|---|
| 57489 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1.3908 | 1.5608 | 0.8911 | [X:[1.4286], M:[0.7093], q:[0.4405, 0.7262], qb:[0.5646, 0.5545], phi:[0.2857]] | [X:[[0, 0]], M:[[-1, 1]], q:[[-1, -1], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.13 + t^2.57 + t^2.98 + t^3.02 + 2*t^3.84 + t^3.87 + t^4.26 + t^4.29 + 3*t^4.7 + 2*t^4.73 + t^5.11 + t^5.14 + 2*t^5.56 + 2*t^5.59 + t^5.68 + t^5.88 + t^5.91 + 2*t^5.97 - 3*t^6. + t^6.38 + 3*t^6.41 + t^6.44 + 3*t^6.54 + t^6.74 + t^6.77 + 4*t^6.83 + t^6.86 - t^7.18 + t^7.24 + 4*t^7.27 + 3*t^7.3 + 2*t^7.39 + t^7.56 + t^7.59 + t^7.62 + t^7.65 + 6*t^7.68 + 5*t^7.71 + 2*t^7.74 - t^7.81 - 2*t^7.84 - 2*t^8.04 - t^8.07 + 2*t^8.1 + 2*t^8.16 + 2*t^8.25 + t^8.45 + t^8.48 + t^8.51 + 8*t^8.54 + 5*t^8.57 + 3*t^8.6 + t^8.66 - 2*t^8.69 - t^8.89 - t^8.92 + 4*t^8.95 - 4*t^8.98 + t^8.57/y^2 - t^8.98/y^2 - t^3.86/y - t^4.71/y - t^5.98/y - t^6.43/y - (2*t^6.84)/y - t^6.87/y - t^7.29/y - t^7.7/y - t^7.73/y + t^8.14/y - (2*t^8.56)/y - t^3.86*y - t^4.71*y - t^5.98*y - t^6.43*y - 2*t^6.84*y - t^6.87*y - t^7.29*y - t^7.7*y - t^7.73*y + t^8.14*y - 2*t^8.56*y + t^8.57*y^2 - t^8.98*y^2 | (g2*t^2.13)/g1 + t^2.57 + (g2*t^2.98)/g1 + (g1*t^3.02)/g2 + (2*g2*t^3.84)/g1 + (g1*t^3.87)/g2 + (g2^2*t^4.26)/g1^2 + t^4.29 + (3*g2*t^4.7)/g1 + (2*g1*t^4.73)/g2 + (g2^2*t^5.11)/g1^2 + t^5.14 + (2*g2*t^5.56)/g1 + (2*g1*t^5.59)/g2 + t^5.68/(g1^3*g2^3) + g1^2*g2^4*t^5.88 + g1^4*g2^2*t^5.91 + (2*g2^2*t^5.97)/g1^2 - 3*t^6. + (g2^3*t^6.38)/g1^3 + (3*g2*t^6.41)/g1 + (g1*t^6.44)/g2 + (3*t^6.54)/(g1^3*g2^3) + g1^2*g2^4*t^6.74 + g1^4*g2^2*t^6.77 + (4*g2^2*t^6.83)/g1^2 + t^6.86 - g1^3*g2^3*t^7.18 + (g2^3*t^7.24)/g1^3 + (4*g2*t^7.27)/g1 + (3*g1*t^7.3)/g2 + (2*t^7.39)/(g1^3*g2^3) + g2^6*t^7.56 + g1^2*g2^4*t^7.59 + g1^4*g2^2*t^7.62 + g1^6*t^7.65 + (6*g2^2*t^7.68)/g1^2 + 5*t^7.71 + (2*g1^2*t^7.74)/g2^2 - t^7.81/(g1^4*g2^2) - (2*t^7.84)/(g1^2*g2^4) - 2*g1^3*g2^3*t^8.04 - g1^5*g2*t^8.07 + (2*g2^3*t^8.1)/g1^3 + (2*g1*t^8.16)/g2 + (2*t^8.25)/(g1^3*g2^3) + g1^2*g2^4*t^8.45 + g1^4*g2^2*t^8.48 + (g2^4*t^8.51)/g1^4 + (8*g2^2*t^8.54)/g1^2 + 5*t^8.57 + (3*g1^2*t^8.6)/g2^2 + t^8.66/(g1^4*g2^2) - (2*t^8.69)/(g1^2*g2^4) - g1^3*g2^3*t^8.89 - g1^5*g2*t^8.92 + (4*g2^3*t^8.95)/g1^3 - (4*g2*t^8.98)/g1 + t^8.57/y^2 - (g2*t^8.98)/(g1*y^2) - t^3.86/y - t^4.71/y - (g2*t^5.98)/(g1*y) - t^6.43/y - (2*g2*t^6.84)/(g1*y) - (g1*t^6.87)/(g2*y) - t^7.29/y - (g2*t^7.7)/(g1*y) - (g1*t^7.73)/(g2*y) + t^8.14/y - (2*g2*t^8.56)/(g1*y) - t^3.86*y - t^4.71*y - (g2*t^5.98*y)/g1 - t^6.43*y - (2*g2*t^6.84*y)/g1 - (g1*t^6.87*y)/g2 - t^7.29*y - (g2*t^7.7*y)/g1 - (g1*t^7.73*y)/g2 + t^8.14*y - (2*g2*t^8.56*y)/g1 + t^8.57*y^2 - (g2*t^8.98*y^2)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 60689 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ | 1.3705 | 1.5223 | 0.9003 | [X:[1.4286], M:[0.7143, 1.2857], q:[0.4405, 0.7262], qb:[0.5595, 0.5595], phi:[0.2857]] | t^2.57 + 2*t^3. + 4*t^3.86 + t^4.29 + 4*t^4.71 + 4*t^5.57 + t^5.68 + 2*t^5.89 - 4*t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 60171/43904, c: 66835/43904, X1: 10/7, M1: 5/7, M2: 9/7, q1: 37/84, q2: 61/84, qb1: 47/84, qb2: 47/84, phi1: 2/7} |
| 58591 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.3782 | 1.5393 | 0.8954 | [X:[1.4286], M:[0.7093, 1.1429], q:[0.4405, 0.7262], qb:[0.5646, 0.5545], phi:[0.2857]] | t^2.13 + t^2.98 + t^3.02 + t^3.43 + 2*t^3.84 + t^3.87 + t^4.26 + t^4.29 + 2*t^4.7 + 2*t^4.73 + t^5.11 + 2*t^5.56 + t^5.59 + t^5.68 + t^5.88 + t^5.91 + 2*t^5.97 - 3*t^6. - t^3.86/y - t^4.71/y - t^5.98/y - t^3.86*y - t^4.71*y - t^5.98*y | detail | |
| 59445 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.3922 | 1.5648 | 0.8897 | [X:[1.4286], M:[0.6905, 0.9762], q:[0.4401, 0.7259], qb:[0.5837, 0.536], phi:[0.2857]] | t^2.07 + t^2.57 + 2*t^2.93 + 2*t^3.79 + t^3.93 + t^4.14 + t^4.29 + 3*t^4.64 + 2*t^4.79 + 2*t^5. + 3*t^5.5 + t^5.64 + t^5.68 + t^5.82 + 4*t^5.86 + t^5.97 - 4*t^6. - t^3.86/y - t^4.71/y - t^5.93/y - t^3.86*y - t^4.71*y - t^5.93*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 |