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 |
|---|---|---|---|---|---|---|---|---|---|
| 8325 | G2adj1nf1 | $\phi_1^2X_1$ + $ 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]] | [X:[[2]], M:[[-6], [-1]], q:[[4]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1^2$, $ M_1$, $ \phi_1^6$, $ M_2$, $ \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_1^2$, $ M_1\phi_1^6$, $ \phi_1^12$, $ M_2q_1^2$ | . | -1 | 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^6.17 + t^6.28 + t^6.57 + 3*t^6.91 + t^7.14 + t^7.31 - t^7.36 + 3*t^7.47 + 2*t^7.64 + 4*t^7.81 - t^8.09 + 4*t^8.15 + t^8.21 + 2*t^8.55 + t^8.66 - t^8.72 - 2*t^8.83 + t^8.88 + t^8.95 + t^8.55/y^2 + t^8.72/y^2 - t^8.83/y^2 - t^3.45/y - t^5.09/y - t^5.26/y - t^5.83/y - (2*t^6.17)/y - t^6.91/y - t^7.47/y - t^7.64/y - t^7.81/y - (2*t^7.98)/y + (2*t^8.09)/y - t^8.21/y + t^8.43/y - (2*t^8.55)/y + t^8.83/y - (3*t^8.88)/y - t^3.45*y - t^5.09*y - t^5.26*y - t^5.83*y - 2*t^6.17*y - t^6.91*y - t^7.47*y - t^7.64*y - t^7.81*y - 2*t^7.98*y + 2*t^8.09*y - t^8.21*y + t^8.43*y - 2*t^8.55*y + t^8.83*y - 3*t^8.88*y + t^8.55*y^2 + t^8.72*y^2 - t^8.83*y^2 | g1^8*t^2.38 + (2*t^2.72)/g1^6 + t^3.45/g1 + g1^4*t^4.19 + g1^16*t^4.76 + g1^9*t^4.93 + 3*g1^2*t^5.09 + (3*t^5.43)/g1^12 + g1^7*t^5.83 - t^6. + t^6.17/g1^7 + g1^6*t^6.28 + g1^12*t^6.57 + (3*t^6.91)/g1^2 + g1^24*t^7.14 + g1^17*t^7.31 - t^7.36/g1^3 + 3*g1^10*t^7.47 + 2*g1^3*t^7.64 + (4*t^7.81)/g1^4 - g1^2*t^8.09 + (4*t^8.15)/g1^18 + g1^15*t^8.21 + 2*g1*t^8.55 + g1^14*t^8.66 - t^8.72/g1^6 - 2*g1^7*t^8.83 + t^8.88/g1^13 + g1^20*t^8.95 + (g1*t^8.55)/y^2 + t^8.72/(g1^6*y^2) - (g1^7*t^8.83)/y^2 - t^3.45/(g1*y) - (g1^2*t^5.09)/y - t^5.26/(g1^5*y) - (g1^7*t^5.83)/y - (2*t^6.17)/(g1^7*y) - t^6.91/(g1^2*y) - (g1^10*t^7.47)/y - (g1^3*t^7.64)/y - t^7.81/(g1^4*y) - (2*t^7.98)/(g1^11*y) + (2*g1^2*t^8.09)/y - (g1^15*t^8.21)/y + t^8.43/(g1^12*y) - (2*g1*t^8.55)/y + (g1^7*t^8.83)/y - (3*t^8.88)/(g1^13*y) - (t^3.45*y)/g1 - g1^2*t^5.09*y - (t^5.26*y)/g1^5 - g1^7*t^5.83*y - (2*t^6.17*y)/g1^7 - (t^6.91*y)/g1^2 - g1^10*t^7.47*y - g1^3*t^7.64*y - (t^7.81*y)/g1^4 - (2*t^7.98*y)/g1^11 + 2*g1^2*t^8.09*y - g1^15*t^8.21*y + (t^8.43*y)/g1^12 - 2*g1*t^8.55*y + g1^7*t^8.83*y - (3*t^8.88*y)/g1^13 + g1*t^8.55*y^2 + (t^8.72*y^2)/g1^6 - g1^7*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 8347 | $\phi_1^2X_1$ + $ M_1\phi_1^2q_1^2$ + $ M_2\phi_1^3q_1$ + $ q_1^4$ | 1.2739 | 1.3442 | 0.9477 | [X:[1.75], M:[0.75, 1.125], q:[0.5], qb:[], phi:[0.125]] | 2*t^2.25 + t^3. + t^3.38 + 4*t^4.5 + 3*t^5.25 + 2*t^5.62 - t^3.38/y - t^4.88/y - t^5.25/y - (2*t^5.62)/y - t^3.38*y - t^4.88*y - t^5.25*y - 2*t^5.62*y | detail | {a: 20871/16384, c: 22023/16384, X1: 7/4, M1: 3/4, M2: 9/8, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^3.45/y - t^5.09/y - t^5.27/y - t^5.82/y - t^6./y - t^3.45*y - t^5.09*y - t^5.27*y - t^5.82*y - t^6.*y | detail |