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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[2]], M:[[6]], q:[[4]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1^2$, $ \phi_1^3q_1$, $ M_1$, $ \phi_1^2q_1^2$, $ \phi_1^4q_1^2$, $ q_1^4$, $ \phi_1^3q_1^3$, $ \phi_1^6q_1^2$, $ X_1$, $ M_1q_1^2$, $ \phi_1^2q_1^4$, $ M_1\phi_1^3q_1$, $ \phi_1^5q_1^3$ | . | -1 | 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^6.13 + 4*t^6.26 - t^6.35 + t^6.52 + t^6.61 + 2*t^6.87 + 5*t^7.22 - t^7.44 + 2*t^7.47 + t^7.56 + 4*t^7.82 - t^7.91 - t^8.04 + 3*t^8.17 + t^8.3 + 4*t^8.43 - 2*t^8.52 - t^8.65 + t^8.69 + 5*t^8.78 + t^8.52/y^2 - t^8.65/y^2 + t^8.87/y^2 - t^3.48/y - t^5.04/y - t^5.39/y - t^5.65/y - t^6./y - (2*t^6.61)/y - t^7.22/y - (2*t^7.56)/y + t^7.69/y - t^7.82/y - (3*t^8.17)/y + (2*t^8.3)/y - (2*t^8.52)/y + (2*t^8.65)/y - (2*t^8.78)/y + t^8.87/y - t^3.48*y - t^5.04*y - t^5.39*y - t^5.65*y - t^6.*y - 2*t^6.61*y - t^7.22*y - 2*t^7.56*y + t^7.69*y - t^7.82*y - 3*t^8.17*y + 2*t^8.3*y - 2*t^8.52*y + 2*t^8.65*y - 2*t^8.78*y + t^8.87*y + t^8.52*y^2 - t^8.65*y^2 + t^8.87*y^2 | g1^8*t^2.17 + g1*t^2.52 + 2*g1^6*t^3.13 + g1^4*t^4.09 + g1^16*t^4.34 + 2*g1^9*t^4.69 + 2*g1^2*t^5.04 + 2*g1^14*t^5.3 + 2*g1^7*t^5.65 - t^6. + g1^6*t^6.13 + 4*g1^12*t^6.26 - t^6.35/g1^7 + g1^24*t^6.52 + g1^5*t^6.61 + 2*g1^17*t^6.87 + 5*g1^10*t^7.22 - t^7.44/g1^3 + 2*g1^22*t^7.47 + g1^3*t^7.56 + 4*g1^15*t^7.82 - t^7.91/g1^4 - g1^2*t^8.04 + 3*g1^8*t^8.17 + g1^14*t^8.3 + 4*g1^20*t^8.43 - 2*g1*t^8.52 - g1^7*t^8.65 + g1^32*t^8.69 + 5*g1^13*t^8.78 + (g1*t^8.52)/y^2 - (g1^7*t^8.65)/y^2 + t^8.87/(g1^6*y^2) - t^3.48/(g1*y) - (g1^2*t^5.04)/y - t^5.39/(g1^5*y) - (g1^7*t^5.65)/y - t^6./y - (2*g1^5*t^6.61)/y - (g1^10*t^7.22)/y - (2*g1^3*t^7.56)/y + (g1^9*t^7.69)/y - (g1^15*t^7.82)/y - (3*g1^8*t^8.17)/y + (2*g1^14*t^8.3)/y - (2*g1*t^8.52)/y + (2*g1^7*t^8.65)/y - (2*g1^13*t^8.78)/y + t^8.87/(g1^6*y) - (t^3.48*y)/g1 - g1^2*t^5.04*y - (t^5.39*y)/g1^5 - g1^7*t^5.65*y - t^6.*y - 2*g1^5*t^6.61*y - g1^10*t^7.22*y - 2*g1^3*t^7.56*y + g1^9*t^7.69*y - g1^15*t^7.82*y - 3*g1^8*t^8.17*y + 2*g1^14*t^8.3*y - 2*g1*t^8.52*y + 2*g1^7*t^8.65*y - 2*g1^13*t^8.78*y + (t^8.87*y)/g1^6 + g1*t^8.52*y^2 - g1^7*t^8.65*y^2 + (t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 8334 | $\phi_1^2X_1$ + $ M_1\phi_1^6$ + $ M_2\phi_1^3q_1$ | 1.3048 | 1.3884 | 0.9398 | [X:[1.6821], M:[1.0463, 1.1589], q:[0.3642], qb:[], phi:[0.1589]] | t^2.19 + 2*t^3.14 + t^3.48 + t^4.09 + t^4.37 + t^4.71 + t^5.05 + 2*t^5.32 + t^5.66 - t^6. - t^3.48/y - t^5.05/y - t^5.38/y - t^5.66/y - t^3.48*y - t^5.05*y - t^5.38*y - t^5.66*y | detail | |
| 8322 | $\phi_1^2X_1$ + $ 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]] | 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^3.47/y - t^5.06/y - t^5.36/y - t^6./y - t^3.47*y - t^5.06*y - t^5.36*y - t^6.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8309 | G2adj1nf1 | $\phi_1^2X_1$ | 1.3237 | 1.4166 | 0.9344 | [X:[1.6893], M:[], q:[0.3785], qb:[], phi:[0.1554]] | t^2.27 + t^2.53 + t^2.8 + t^3.2 + t^4.14 + t^4.54 + 2*t^4.8 + 3*t^5.07 + t^5.33 + t^5.47 + t^5.59 + t^5.74 - t^3.47/y - t^5.07/y - t^5.33/y - t^5.74/y - t^6./y - t^3.47*y - t^5.07*y - t^5.33*y - t^5.74*y - t^6.*y | detail |