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 |
|---|---|---|---|---|---|---|---|---|---|
| 8315 | G2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^3$ | 1.3136 | 1.394 | 0.9424 | [X:[1.7143], M:[], q:[0.4286], qb:[], phi:[0.1429]] | [X:[[0]], M:[], q:[[0]], qb:[], phi:[[0]]] | 0 | {a: 7209/5488, c: 3825/2744, X1: 12/7, q1: 3/7, phi1: 1/7} |
| 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_1^4q_1^2$, $ \phi_1^12$, $ \phi_1^9q_1$, $ \phi_1^6q_1^2$, $ \phi_1^3q_1^3$, $ q_1^4$, $ X_1$ | $\phi_1^2q_1^4$ | 1 | 3*t^2.57 + t^3.43 + t^4.29 + 8*t^5.14 + t^6. + t^6.43 + 4*t^6.86 - t^7.29 + 15*t^7.71 - t^8.14 + 3*t^8.57 + (2*t^8.57)/y^2 - t^3.43/y - (2*t^5.14)/y - (3*t^6.)/y - t^6.86/y - (5*t^7.71)/y + (3*t^8.14)/y - (6*t^8.57)/y - t^3.43*y - 2*t^5.14*y - 3*t^6.*y - t^6.86*y - 5*t^7.71*y + 3*t^8.14*y - 6*t^8.57*y + 2*t^8.57*y^2 | 3*t^2.57 + t^3.43 + t^4.29 + 8*t^5.14 + t^6. + t^6.43 + 4*t^6.86 - t^7.29 + 15*t^7.71 - t^8.14 + 3*t^8.57 + (2*t^8.57)/y^2 - t^3.43/y - (2*t^5.14)/y - (3*t^6.)/y - t^6.86/y - (5*t^7.71)/y + (3*t^8.14)/y - (6*t^8.57)/y - t^3.43*y - 2*t^5.14*y - 3*t^6.*y - t^6.86*y - 5*t^7.71*y + 3*t^8.14*y - 6*t^8.57*y + 2*t^8.57*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 |
|---|---|---|---|---|---|---|---|---|
| 8324 | $\phi_1^2X_1$ + $ \phi_1^5q_1^3$ + $ M_1\phi_1^2q_1^2$ | 1.3262 | 1.4155 | 0.9369 | [X:[1.7143], M:[0.8571], q:[0.4286], qb:[], phi:[0.1429]] | 4*t^2.57 + t^4.29 + 12*t^5.14 - 2*t^6. - t^3.43/y - (2*t^5.14)/y - (4*t^6.)/y - t^3.43*y - 2*t^5.14*y - 4*t^6.*y | detail | {a: 3639/2744, c: 971/686, X1: 12/7, M1: 6/7, q1: 3/7, phi1: 1/7} |
| 8323 | $\phi_1^2X_1$ + $ \phi_1^5q_1^3$ + $ M_1\phi_1^6$ | 1.301 | 1.3724 | 0.948 | [X:[1.7143], M:[1.1429], q:[0.4286], qb:[], phi:[0.1429]] | 2*t^2.57 + 2*t^3.43 + t^4.29 + 5*t^5.14 + 2*t^6. - t^3.43/y - (2*t^5.14)/y - (2*t^6.)/y - t^3.43*y - 2*t^5.14*y - 2*t^6.*y | detail | {a: 255/196, c: 269/196, X1: 12/7, M1: 8/7, q1: 3/7, phi1: 1/7} |
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 |