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 |
|---|---|---|---|---|---|---|---|---|---|
| 8318 | G2adj1nf1 | $\phi_1^2X_1$ + $ q_1^4$ | 1.266 | 1.3285 | 0.953 | [X:[1.75], M:[], q:[0.5], qb:[], phi:[0.125]] | [X:[[0]], M:[], q:[[0]], qb:[], phi:[[0]]] | 0 | {a: 10371/8192, c: 10883/8192, X1: 7/4, q1: 1/2, phi1: 1/8} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^6$, $ \phi_1^3q_1$, $ q_1^2$, $ \phi_1^2q_1^2$, $ \phi_1^12$, $ \phi_1^4q_1^2$, $ \phi_1^9q_1$, $ \phi_1^6q_1^2$, $ X_1$, $ \phi_1^3q_1^3$ | $\phi_1^8q_1^2$ | 1 | t^2.25 + t^2.62 + t^3. + t^3.75 + 2*t^4.5 + t^4.88 + 3*t^5.25 + t^5.62 + t^6. + t^6.38 + 4*t^6.75 + t^7.12 + 4*t^7.5 + 2*t^7.88 + 4*t^8.25 + t^8.25/y^2 - t^3.38/y - t^4.88/y - t^5.25/y - t^5.62/y - t^6./y - t^6.38/y - (2*t^7.12)/y - t^7.5/y - (2*t^7.88)/y - t^8.62/y - t^3.38*y - t^4.88*y - t^5.25*y - t^5.62*y - t^6.*y - t^6.38*y - 2*t^7.12*y - t^7.5*y - 2*t^7.88*y - t^8.62*y + t^8.25*y^2 | t^2.25 + t^2.62 + t^3. + t^3.75 + 2*t^4.5 + t^4.88 + 3*t^5.25 + t^5.62 + t^6. + t^6.38 + 4*t^6.75 + t^7.12 + 4*t^7.5 + 2*t^7.88 + 4*t^8.25 + t^8.25/y^2 - t^3.38/y - t^4.88/y - t^5.25/y - t^5.62/y - t^6./y - t^6.38/y - (2*t^7.12)/y - t^7.5/y - (2*t^7.88)/y - t^8.62/y - t^3.38*y - t^4.88*y - t^5.25*y - t^5.62*y - t^6.*y - t^6.38*y - 2*t^7.12*y - t^7.5*y - 2*t^7.88*y - t^8.62*y + t^8.25*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 |
|---|---|---|---|---|---|---|---|---|
| 8336 | $\phi_1^2X_1$ + $ q_1^4$ + $ M_1\phi_1^3q_1$ | 1.2548 | 1.3095 | 0.9582 | [X:[1.75], M:[1.125], q:[0.5], qb:[], phi:[0.125]] | t^2.25 + t^3. + t^3.38 + t^3.75 + 2*t^4.5 + 2*t^5.25 + t^5.62 + t^6. - t^3.38/y - t^4.88/y - t^5.25/y - t^5.62/y - t^3.38*y - t^4.88*y - t^5.25*y - t^5.62*y | detail | {a: 20559/16384, c: 21455/16384, X1: 7/4, M1: 9/8, q1: 1/2, phi1: 1/8} |
| 8331 | $\phi_1^2X_1$ + $ q_1^4$ + $ M_1\phi_1^6$ | 1.2469 | 1.2938 | 0.9638 | [X:[1.75], M:[1.25], q:[0.5], qb:[], phi:[0.125]] | t^2.62 + t^3. + 2*t^3.75 + t^4.5 + 2*t^5.25 + t^5.62 - t^3.38/y - t^4.88/y - t^5.25/y - t^6./y - t^3.38*y - t^4.88*y - t^5.25*y - t^6.*y | detail | {a: 10215/8192, c: 10599/8192, X1: 7/4, M1: 5/4, 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 |