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 |
|---|---|---|---|---|---|---|---|---|---|
| 8327 | G2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1^2$ + $ M_2\phi_1^3q_1$ | 1.2923 | 1.3586 | 0.9512 | [X:[1.6972], M:[1.2111, 1.1514], q:[0.3945], qb:[], phi:[0.1514]] | [X:[[2]], M:[[-8], [-1]], q:[[4]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^6$, $ \phi_1^2q_1^2$, $ M_2$, $ M_1$, $ \phi_1^4q_1^2$, $ \phi_1^3q_1^3$, $ X_1$, $ \phi_1^12$ | $\phi_1^8q_1^2$ | 0 | t^2.72 + t^3.28 + t^3.45 + t^3.63 + t^4.18 + t^4.91 + t^5.09 + t^5.45 + t^6.28 + t^6.36 + t^6.55 + t^6.73 + 3*t^6.91 + t^7.09 + t^7.27 - t^7.36 + t^7.46 + t^7.64 + t^7.82 - t^8.09 + t^8.17 + t^8.19 + 2*t^8.37 + 2*t^8.55 + 2*t^8.72 + t^8.55/y^2 + t^8.72/y^2 - t^3.45/y - t^5.09/y - t^5.27/y - t^6.18/y - t^6.73/y - t^6.91/y - t^7.09/y - t^8./y - t^8.37/y - t^8.55/y - t^8.72/y - (2*t^8.9)/y - t^3.45*y - t^5.09*y - t^5.27*y - t^6.18*y - t^6.73*y - t^6.91*y - t^7.09*y - t^8.*y - t^8.37*y - t^8.55*y - t^8.72*y - 2*t^8.9*y + t^8.55*y^2 + t^8.72*y^2 | t^2.72/g1^6 + g1^6*t^3.28 + t^3.45/g1 + t^3.63/g1^8 + g1^4*t^4.18 + g1^9*t^4.91 + g1^2*t^5.09 + t^5.45/g1^12 + g1^6*t^6.28 + t^6.36/g1^14 + g1^12*t^6.55 + g1^5*t^6.73 + (3*t^6.91)/g1^2 + t^7.09/g1^9 + t^7.27/g1^16 - t^7.36/g1^3 + g1^10*t^7.46 + g1^3*t^7.64 + t^7.82/g1^4 - g1^2*t^8.09 + t^8.17/g1^18 + g1^15*t^8.19 + 2*g1^8*t^8.37 + 2*g1*t^8.55 + (2*t^8.72)/g1^6 + (g1*t^8.55)/y^2 + t^8.72/(g1^6*y^2) - t^3.45/(g1*y) - (g1^2*t^5.09)/y - t^5.27/(g1^5*y) - t^6.18/(g1^7*y) - (g1^5*t^6.73)/y - t^6.91/(g1^2*y) - t^7.09/(g1^9*y) - t^8./(g1^11*y) - (g1^8*t^8.37)/y - (g1*t^8.55)/y - t^8.72/(g1^6*y) - (2*t^8.9)/(g1^13*y) - (t^3.45*y)/g1 - g1^2*t^5.09*y - (t^5.27*y)/g1^5 - (t^6.18*y)/g1^7 - g1^5*t^6.73*y - (t^6.91*y)/g1^2 - (t^7.09*y)/g1^9 - (t^8.*y)/g1^11 - g1^8*t^8.37*y - g1*t^8.55*y - (t^8.72*y)/g1^6 - (2*t^8.9*y)/g1^13 + g1*t^8.55*y^2 + (t^8.72*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 |
|---|---|---|---|---|---|---|---|---|
| 8346 | $\phi_1^2X_1$ + $ M_1q_1^2$ + $ M_2\phi_1^3q_1$ + $ M_3\phi_1^6$ | 1.2853 | 1.3499 | 0.9521 | [X:[1.687], M:[1.2519, 1.1565, 1.061], q:[0.374], qb:[], phi:[0.1565]] | 2*t^3.18 + t^3.47 + t^3.76 + t^4.12 + t^4.77 + t^5.06 - t^6. - t^3.47/y - t^5.06/y - t^5.35/y - t^3.47*y - t^5.06*y - t^5.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8314 | G2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1^2$ | 1.3056 | 1.3816 | 0.945 | [X:[1.6958], M:[1.2166], q:[0.3917], qb:[], phi:[0.1521]] | t^2.54 + t^2.74 + t^3.26 + t^3.65 + t^4.18 + t^4.89 + 2*t^5.09 + t^5.28 + t^5.47 + t^5.81 - t^3.46/y - t^5.09/y - t^5.28/y - t^6./y - t^3.46*y - t^5.09*y - t^5.28*y - t^6.*y | detail |