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 |
|---|---|---|---|---|---|---|---|---|---|
| 8313 | G2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^2q_1^2$ | 1.3311 | 1.4257 | 0.9336 | [X:[1.6972], M:[0.9085], q:[0.3944], qb:[], phi:[0.1514]] | [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_1^6$, $ \phi_1^4q_1^2$, $ q_1^4$, $ \phi_1^3q_1^3$, $ M_1q_1^2$, $ \phi_1^6q_1^2$, $ X_1$, $ M_1\phi_1^3q_1$, $ \phi_1^9q_1$, $ M_1^2$, $ M_1\phi_1^6$, $ \phi_1^12$ | . | -1 | t^2.37 + t^2.55 + 2*t^2.73 + t^4.18 + t^4.73 + 2*t^4.91 + 4*t^5.09 + 2*t^5.27 + 3*t^5.45 - t^6. - t^6.18 + t^6.27 + t^6.55 + t^6.73 + 2*t^6.91 + t^7.1 + 2*t^7.28 - t^7.36 + 5*t^7.46 + 5*t^7.64 + 6*t^7.82 + 3*t^8. - t^8.09 + 4*t^8.18 - t^8.37 - 2*t^8.55 + t^8.64 - 2*t^8.73 - t^8.82 - 2*t^8.91 + t^8.92 + t^8.55/y^2 + t^8.73/y^2 - t^8.82/y^2 - t^3.45/y - t^5.09/y - t^5.27/y - t^5.82/y - t^6./y - (2*t^6.18)/y - t^7.46/y - (2*t^7.64)/y - (2*t^7.82)/y + t^7.91/y - (2*t^8.)/y + (2*t^8.09)/y - t^8.19/y + (2*t^8.27)/y - t^8.37/y + t^8.45/y - (2*t^8.55)/y - t^8.73/y - (3*t^8.91)/y - t^3.45*y - t^5.09*y - t^5.27*y - t^5.82*y - t^6.*y - 2*t^6.18*y - t^7.46*y - 2*t^7.64*y - 2*t^7.82*y + t^7.91*y - 2*t^8.*y + 2*t^8.09*y - t^8.19*y + 2*t^8.27*y - t^8.37*y + t^8.45*y - 2*t^8.55*y - t^8.73*y - 3*t^8.91*y + t^8.55*y^2 + t^8.73*y^2 - t^8.82*y^2 | g1^8*t^2.37 + g1*t^2.55 + (2*t^2.73)/g1^6 + g1^4*t^4.18 + g1^16*t^4.73 + 2*g1^9*t^4.91 + 4*g1^2*t^5.09 + (2*t^5.27)/g1^5 + (3*t^5.45)/g1^12 - t^6. - t^6.18/g1^7 + g1^6*t^6.27 + g1^12*t^6.55 + g1^5*t^6.73 + (2*t^6.91)/g1^2 + g1^24*t^7.1 + 2*g1^17*t^7.28 - t^7.36/g1^3 + 5*g1^10*t^7.46 + 5*g1^3*t^7.64 + (6*t^7.82)/g1^4 + (3*t^8.)/g1^11 - g1^2*t^8.09 + (4*t^8.18)/g1^18 - g1^8*t^8.37 - 2*g1*t^8.55 + g1^14*t^8.64 - (2*t^8.73)/g1^6 - g1^7*t^8.82 - (2*t^8.91)/g1^13 + g1^20*t^8.92 + (g1*t^8.55)/y^2 + t^8.73/(g1^6*y^2) - (g1^7*t^8.82)/y^2 - t^3.45/(g1*y) - (g1^2*t^5.09)/y - t^5.27/(g1^5*y) - (g1^7*t^5.82)/y - t^6./y - (2*t^6.18)/(g1^7*y) - (g1^10*t^7.46)/y - (2*g1^3*t^7.64)/y - (2*t^7.82)/(g1^4*y) + (g1^9*t^7.91)/y - (2*t^8.)/(g1^11*y) + (2*g1^2*t^8.09)/y - (g1^15*t^8.19)/y + (2*t^8.27)/(g1^5*y) - (g1^8*t^8.37)/y + t^8.45/(g1^12*y) - (2*g1*t^8.55)/y - t^8.73/(g1^6*y) - (3*t^8.91)/(g1^13*y) - (t^3.45*y)/g1 - g1^2*t^5.09*y - (t^5.27*y)/g1^5 - g1^7*t^5.82*y - t^6.*y - (2*t^6.18*y)/g1^7 - g1^10*t^7.46*y - 2*g1^3*t^7.64*y - (2*t^7.82*y)/g1^4 + g1^9*t^7.91*y - (2*t^8.*y)/g1^11 + 2*g1^2*t^8.09*y - g1^15*t^8.19*y + (2*t^8.27*y)/g1^5 - g1^8*t^8.37*y + (t^8.45*y)/g1^12 - 2*g1*t^8.55*y - (t^8.73*y)/g1^6 - (3*t^8.91*y)/g1^13 + g1*t^8.55*y^2 + (t^8.73*y^2)/g1^6 - g1^7*t^8.82*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8325 | $\phi_1^2X_1$ + $ M_1\phi_1^2q_1^2$ + $ M_2\phi_1^3q_1$ | 1.3179 | 1.4027 | 0.9395 | [X:[1.6983], M:[0.9052, 1.1509], q:[0.3966], qb:[], phi:[0.1509]] | t^2.38 + 2*t^2.72 + t^3.45 + t^4.19 + t^4.76 + t^4.93 + 3*t^5.09 + 3*t^5.43 + t^5.83 - t^6. - t^3.45/y - t^5.09/y - t^5.26/y - t^5.83/y - t^3.45*y - t^5.09*y - t^5.26*y - t^5.83*y | detail | |
| 8340 | $\phi_1^2X_1$ + $ M_1\phi_1^2q_1^2$ + $ M_2q_1^2$ | 1.3148 | 1.3957 | 0.942 | [X:[1.7051], M:[0.8848, 1.1797], q:[0.4102], qb:[], phi:[0.1475]] | t^2.56 + 2*t^2.65 + t^3.54 + t^4.23 + t^5.02 + 2*t^5.12 + 2*t^5.21 + 3*t^5.31 - t^6. - t^3.44/y - t^5.12/y - t^5.21/y - t^6./y - t^3.44*y - t^5.12*y - t^5.21*y - t^6.*y | detail | |
| 8337 | $\phi_1^2X_1$ + $ M_1\phi_1^2q_1^2$ + $ q_1^4$ | 1.285 | 1.3632 | 0.9427 | [X:[1.75], M:[0.75], q:[0.5], qb:[], phi:[0.125]] | 2*t^2.25 + t^2.62 + t^3. + 4*t^4.5 + 2*t^4.88 + 4*t^5.25 + t^5.62 - t^3.38/y - t^4.88/y - t^5.25/y - (2*t^5.62)/y - t^6./y - t^3.38*y - t^4.88*y - t^5.25*y - 2*t^5.62*y - t^6.*y | detail | {a: 10527/8192, c: 11167/8192, X1: 7/4, M1: 3/4, q1: 1/2, phi1: 1/8} |
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 |