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 |