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 |
|---|---|---|---|---|---|---|---|---|---|
| 8322 | G2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^6$ + $ M_2q_1^2$ | 1.2989 | 1.374 | 0.9454 | [X:[1.6856], M:[1.0568, 1.2576], q:[0.3712], qb:[], phi:[0.1572]] | [X:[[2]], M:[[6], [-8]], q:[[4]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^3q_1$, $ M_1$, $ \phi_1^2q_1^2$, $ M_2$, $ \phi_1^4q_1^2$, $ \phi_1^3q_1^3$, $ \phi_1^6q_1^2$, $ X_1$, $ M_1\phi_1^3q_1$, $ \phi_1^5q_1^3$ | . | -1 | t^2.53 + 2*t^3.17 + t^3.77 + t^4.11 + t^4.76 + 2*t^5.06 + 2*t^5.7 - t^6. + t^6.17 + 3*t^6.34 + t^6.64 + 2*t^6.94 + 3*t^7.28 - t^7.41 + t^7.55 + t^7.59 + 2*t^7.93 - t^8.06 + 4*t^8.23 + t^8.7 + 2*t^8.83 + 4*t^8.87 + t^8.53/y^2 + t^8.83/y^2 - t^3.47/y - t^5.06/y - t^5.36/y - t^6./y - (2*t^6.64)/y - t^7.24/y - t^7.59/y - (2*t^8.23)/y - (2*t^8.53)/y + (2*t^8.7)/y - t^3.47*y - t^5.06*y - t^5.36*y - t^6.*y - 2*t^6.64*y - t^7.24*y - t^7.59*y - 2*t^8.23*y - 2*t^8.53*y + 2*t^8.7*y + t^8.53*y^2 + t^8.83*y^2 | g1*t^2.53 + 2*g1^6*t^3.17 + t^3.77/g1^8 + g1^4*t^4.11 + g1^9*t^4.76 + 2*g1^2*t^5.06 + 2*g1^7*t^5.7 - t^6. + g1^6*t^6.17 + 3*g1^12*t^6.34 + g1^5*t^6.64 + (2*t^6.94)/g1^2 + 3*g1^10*t^7.28 - t^7.41/g1^3 + t^7.55/g1^16 + g1^3*t^7.59 + 2*g1^15*t^7.93 - g1^2*t^8.06 + 4*g1^8*t^8.23 + g1^7*t^8.7 + (2*t^8.83)/g1^6 + 4*g1^13*t^8.87 + (g1*t^8.53)/y^2 + t^8.83/(g1^6*y^2) - t^3.47/(g1*y) - (g1^2*t^5.06)/y - t^5.36/(g1^5*y) - t^6./y - (2*g1^5*t^6.64)/y - t^7.24/(g1^9*y) - (g1^3*t^7.59)/y - (2*g1^8*t^8.23)/y - (2*g1*t^8.53)/y + (2*g1^7*t^8.7)/y - (t^3.47*y)/g1 - g1^2*t^5.06*y - (t^5.36*y)/g1^5 - t^6.*y - 2*g1^5*t^6.64*y - (t^7.24*y)/g1^9 - g1^3*t^7.59*y - 2*g1^8*t^8.23*y - 2*g1*t^8.53*y + 2*g1^7*t^8.7*y + g1*t^8.53*y^2 + (t^8.83*y^2)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8359 | $\phi_1^2X_1$ + $ M_1\phi_1^6$ + $ M_2q_1^2$ + $ \phi_1^5q_1^3$ | 1.2884 | 1.3509 | 0.9537 | [X:[1.7143], M:[1.1429, 1.1429], q:[0.4286], qb:[], phi:[0.1429]] | t^2.57 + 3*t^3.43 + t^4.29 + 3*t^5.14 + t^6. - t^3.43/y - (2*t^5.14)/y - t^6./y - t^3.43*y - 2*t^5.14*y - t^6.*y | detail | {a: 7071/5488, c: 3707/2744, X1: 12/7, M1: 8/7, M2: 8/7, q1: 3/7, phi1: 1/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8311 | G2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^6$ | 1.3186 | 1.4129 | 0.9333 | [X:[1.681], M:[1.043], q:[0.362], qb:[], phi:[0.1595]] | t^2.17 + t^2.52 + 2*t^3.13 + t^4.09 + t^4.34 + 2*t^4.69 + 2*t^5.04 + 2*t^5.3 + 2*t^5.65 - t^6. - t^3.48/y - t^5.04/y - t^5.39/y - t^5.65/y - t^6./y - t^3.48*y - t^5.04*y - t^5.39*y - t^5.65*y - t^6.*y | detail |