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 |
|---|---|---|---|---|---|---|---|---|---|
| 8364 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_1^2$ | 1.1559 | 1.2809 | 0.9024 | [X:[1.625], M:[1.0], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] | [X:[[0]], M:[[0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 18939/16384, c: 20987/16384, X1: 13/8, M1: 1, q1: 15/32, q2: 13/32, phi1: 3/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ q_1q_2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1\phi_1^4$, $ q_1^2q_2^2$, $ \phi_1^5q_1q_2$, $ \phi_1^5q_1^2$, $ M_1q_1q_2$ | $\phi_1^6q_1q_2$ | 1 | t^2.25 + t^2.62 + t^3. + t^3.19 + t^3.38 + t^3.75 + t^4.12 + t^4.31 + 2*t^4.5 + 2*t^4.88 + 2*t^5.25 + t^5.44 + 2*t^5.62 + t^6. + 3*t^6.38 + t^6.56 + 4*t^6.75 + t^6.94 + 4*t^7.12 + t^7.31 + 5*t^7.5 + 2*t^7.69 + 4*t^7.88 + t^8.06 + 5*t^8.25 + t^8.44 + 4*t^8.62 + t^8.25/y^2 - t^8.81/y^2 - t^3.56/y - t^4.69/y - t^5.81/y - t^6.19/y - t^6.56/y - t^6.75/y - (2*t^6.94)/y - t^7.31/y - t^7.69/y - (2*t^8.06)/y + t^8.25/y + (2*t^8.62)/y - t^8.81/y - t^3.56*y - t^4.69*y - t^5.81*y - t^6.19*y - t^6.56*y - t^6.75*y - 2*t^6.94*y - t^7.31*y - t^7.69*y - 2*t^8.06*y + t^8.25*y + 2*t^8.62*y - t^8.81*y + t^8.25*y^2 - t^8.81*y^2 | t^2.25 + t^2.62 + t^3. + t^3.19 + t^3.38 + t^3.75 + t^4.12 + t^4.31 + 2*t^4.5 + 2*t^4.88 + 2*t^5.25 + t^5.44 + 2*t^5.62 + t^6. + 3*t^6.38 + t^6.56 + 4*t^6.75 + t^6.94 + 4*t^7.12 + t^7.31 + 5*t^7.5 + 2*t^7.69 + 4*t^7.88 + t^8.06 + 5*t^8.25 + t^8.44 + 4*t^8.62 + t^8.25/y^2 - t^8.81/y^2 - t^3.56/y - t^4.69/y - t^5.81/y - t^6.19/y - t^6.56/y - t^6.75/y - (2*t^6.94)/y - t^7.31/y - t^7.69/y - (2*t^8.06)/y + t^8.25/y + (2*t^8.62)/y - t^8.81/y - t^3.56*y - t^4.69*y - t^5.81*y - t^6.19*y - t^6.56*y - t^6.75*y - 2*t^6.94*y - t^7.31*y - t^7.69*y - 2*t^8.06*y + t^8.25*y + 2*t^8.62*y - t^8.81*y + t^8.25*y^2 - t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 8521 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_1^2$ + $ M_2\phi_1q_1^2$ | 1.1671 | 1.2999 | 0.8978 | [X:[1.625], M:[1.0, 0.875], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] | t^2.25 + 2*t^2.62 + t^3. + t^3.19 + t^3.75 + t^4.12 + t^4.31 + 2*t^4.5 + 3*t^4.88 + 4*t^5.25 + t^5.44 + 2*t^5.62 + t^5.81 - t^3.56/y - t^4.69/y - t^5.81/y - t^3.56*y - t^4.69*y - t^5.81*y | detail | {a: 9561/8192, c: 10649/8192, X1: 13/8, M1: 1, M2: 7/8, q1: 15/32, q2: 13/32, phi1: 3/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8196 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ | 1.168 | 1.293 | 0.9033 | [X:[1.6419], M:[0.8647], q:[0.4476, 0.4781], qb:[], phi:[0.179]] | t^2.15 + t^2.59 + t^2.78 + t^3.22 + t^3.31 + t^3.85 + 2*t^4.3 + t^4.39 + t^4.48 + t^4.74 + 2*t^4.93 + t^5.19 + 2*t^5.37 + t^5.46 + t^5.55 + t^5.82 - t^3.54/y - t^4.61/y - t^5.69/y - t^3.54*y - t^4.61*y - t^5.69*y | detail |