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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[2]], M:[[-8]], q:[[4]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^3q_1$, $ \phi_1^6$, $ \phi_1^2q_1^2$, $ M_1$, $ \phi_1^4q_1^2$, $ \phi_1^3q_1^3$, $ \phi_1^6q_1^2$, $ X_1$, $ \phi_1^9q_1$, $ \phi_1^12$, $ \phi_1^5q_1^3$ | $\phi_1^8q_1^2$ | 0 | 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^6.26 + t^6.39 + t^6.53 + t^6.72 + 2*t^6.91 + t^7.3 - t^7.37 + 2*t^7.44 + 2*t^7.63 + 2*t^7.82 + t^8.02 - t^8.09 + t^8.16 + t^8.21 + 2*t^8.35 + t^8.54 + 2*t^8.74 + t^8.81 + t^8.54/y^2 + t^8.74/y^2 - t^3.46/y - t^5.09/y - t^5.28/y - t^6./y - t^6.19/y - t^6.72/y - t^7.11/y - t^7.63/y - t^7.82/y - t^8.02/y + t^8.28/y - t^8.35/y - t^8.54/y - t^8.74/y + t^8.81/y - (2*t^8.93)/y - t^3.46*y - t^5.09*y - t^5.28*y - t^6.*y - t^6.19*y - t^6.72*y - t^7.11*y - t^7.63*y - t^7.82*y - t^8.02*y + t^8.28*y - t^8.35*y - t^8.54*y - t^8.74*y + t^8.81*y - 2*t^8.93*y + t^8.54*y^2 + t^8.74*y^2 | g1*t^2.54 + t^2.74/g1^6 + g1^6*t^3.26 + t^3.65/g1^8 + g1^4*t^4.18 + g1^9*t^4.89 + 2*g1^2*t^5.09 + t^5.28/g1^5 + t^5.47/g1^12 + g1^7*t^5.81 + g1^6*t^6.26 + t^6.39/g1^14 + g1^12*t^6.53 + g1^5*t^6.72 + (2*t^6.91)/g1^2 + t^7.3/g1^16 - t^7.37/g1^3 + 2*g1^10*t^7.44 + 2*g1^3*t^7.63 + (2*t^7.82)/g1^4 + t^8.02/g1^11 - g1^2*t^8.09 + g1^15*t^8.16 + t^8.21/g1^18 + 2*g1^8*t^8.35 + g1*t^8.54 + (2*t^8.74)/g1^6 + g1^7*t^8.81 + (g1*t^8.54)/y^2 + t^8.74/(g1^6*y^2) - t^3.46/(g1*y) - (g1^2*t^5.09)/y - t^5.28/(g1^5*y) - t^6./y - t^6.19/(g1^7*y) - (g1^5*t^6.72)/y - t^7.11/(g1^9*y) - (g1^3*t^7.63)/y - t^7.82/(g1^4*y) - t^8.02/(g1^11*y) + t^8.28/(g1^5*y) - (g1^8*t^8.35)/y - (g1*t^8.54)/y - t^8.74/(g1^6*y) + (g1^7*t^8.81)/y - (2*t^8.93)/(g1^13*y) - (t^3.46*y)/g1 - g1^2*t^5.09*y - (t^5.28*y)/g1^5 - t^6.*y - (t^6.19*y)/g1^7 - g1^5*t^6.72*y - (t^7.11*y)/g1^9 - g1^3*t^7.63*y - (t^7.82*y)/g1^4 - (t^8.02*y)/g1^11 + (t^8.28*y)/g1^5 - g1^8*t^8.35*y - g1*t^8.54*y - (t^8.74*y)/g1^6 + g1^7*t^8.81*y - (2*t^8.93*y)/g1^13 + g1*t^8.54*y^2 + (t^8.74*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 |
|---|---|---|---|---|---|---|---|---|
| 8327 | $\phi_1^2X_1$ + $ 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]] | 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^3.45/y - t^5.09/y - t^5.27/y - t^3.45*y - t^5.09*y - t^5.27*y | detail | |
| 8333 | $\phi_1^2X_1$ + $ M_1q_1^2$ + $ \phi_1^3q_1^3$ + $ \phi_1^6X_2$ | 1.1937 | 1.2284 | 0.9717 | [X:[1.7778, 1.3333], M:[0.8889], q:[0.5556], qb:[], phi:[0.1111]] | 2*t^2.67 + 2*t^4. + t^4.67 + 3*t^5.33 - t^3.33/y - t^4.67/y - t^5.33/y - (2*t^6.)/y - t^3.33*y - t^4.67*y - t^5.33*y - 2*t^6.*y | detail | {a: 1547/1296, c: 199/162, X1: 16/9, X2: 4/3, M1: 8/9, q1: 5/9, phi1: 1/9} |
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 |