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 |
|---|---|---|---|---|---|---|---|---|---|
| 8191 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ | 1.1686 | 1.2966 | 0.9013 | [X:[1.6354], M:[0.8685], q:[0.4746, 0.4317], qb:[], phi:[0.1823]] | [X:[[0, 2]], M:[[2, -11]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ M_1\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1^2$, $ M_1q_1q_2$, $ \phi_1^5q_2^2$, $ q_1^2q_2^2$, $ \phi_1^5q_1q_2$, $ M_1\phi_1q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1q_1^2q_2^2$ | $\phi_1^6q_1q_2$ | -1 | t^2.19+t^2.61+t^2.72+t^3.14+t^3.27+t^3.81+t^4.23+t^4.36+t^4.37+t^4.49+t^4.79+2*t^4.91+t^5.21+2*t^5.32+t^5.44+t^5.45+t^5.74+t^5.86+t^5.98-t^6.-t^6.13+t^6.27+t^6.4+t^6.42+2*t^6.53+t^6.56+t^6.84+2*t^6.95+t^6.98+2*t^7.08+2*t^7.09+t^7.21-t^7.22+t^7.37+t^7.4+2*t^7.5+2*t^7.51+4*t^7.63+t^7.75-t^7.77+t^7.82+2*t^7.93+3*t^8.04+t^8.16+2*t^8.17-t^8.32+t^8.35+3*t^8.46+t^8.58+2*t^8.59-t^8.61+t^8.7+t^8.72-2*t^8.73+t^8.75+t^8.88+t^8.98+t^8.99+t^8.19/y^2-t^8.73/y^2-t^3.55/y-t^4.64/y-t^5.73/y-t^6.15/y-t^6.27/y-t^6.68/y-t^6.81/y-t^6.83/y-t^7.25/y-t^7.36/y-t^7.78/y+t^7.79/y-t^7.92/y+(2*t^8.32)/y-t^8.34/y+t^8.74/y-t^8.76/y+t^8.86/y-t^8.87/y-t^3.55*y-t^4.64*y-t^5.73*y-t^6.15*y-t^6.27*y-t^6.68*y-t^6.81*y-t^6.83*y-t^7.25*y-t^7.36*y-t^7.78*y+t^7.79*y-t^7.92*y+2*t^8.32*y-t^8.34*y+t^8.74*y-t^8.76*y+t^8.86*y-t^8.87*y+t^8.19*y^2-t^8.73*y^2 | t^2.19/g2^4+(g1^2*t^2.61)/g2^11+g2^6*t^2.72+(g1^2*t^3.14)/g2+g2^5*t^3.27+g2^4*t^3.81+(g1^2*t^4.23)/g2^3+g2^3*t^4.36+t^4.37/g2^8+(g2^9*t^4.49)/g1^2+(g1^2*t^4.79)/g2^15+2*g2^2*t^4.91+(g1^4*t^5.21)/g2^22+(2*g1^2*t^5.32)/g2^5+g2^12*t^5.44+g2*t^5.45+(g1^4*t^5.74)/g2^12+g1^2*g2^5*t^5.86+g2^11*t^5.98-t^6.-(g2^6*t^6.13)/g1^2+(g1^4*t^6.27)/g2^2+g1^2*g2^4*t^6.4+(g1^2*t^6.42)/g2^7+2*g2^10*t^6.53+t^6.56/g2^12+(g1^4*t^6.84)/g2^14+2*g1^2*g2^3*t^6.95+(g1^2*t^6.98)/g2^19+2*g2^9*t^7.08+(2*t^7.09)/g2^2+(g2^15*t^7.21)/g1^2-(g2^4*t^7.22)/g1^2+(g1^4*t^7.37)/g2^4+(g1^4*t^7.4)/g2^26+2*g1^2*g2^2*t^7.5+(2*g1^2*t^7.51)/g2^9+4*g2^8*t^7.63+(g2^14*t^7.75)/g1^2-(g2^3*t^7.77)/g1^2+(g1^6*t^7.82)/g2^33+(2*g1^4*t^7.93)/g2^16+3*g1^2*g2*t^8.04+g2^18*t^8.16+2*g2^7*t^8.17-(g2^2*t^8.32)/g1^2+(g1^6*t^8.35)/g2^23+(3*g1^4*t^8.46)/g2^6+g1^2*g2^11*t^8.58+2*g1^2*t^8.59-(g1^2*t^8.61)/g2^11+g2^17*t^8.7+g2^6*t^8.72-(2*t^8.73)/g2^5+t^8.75/g2^16+(g1^6*t^8.88)/g2^13+(g2^18*t^8.98)/g1^4+g1^4*g2^4*t^8.99+t^8.19/(g2^4*y^2)-t^8.73/(g2^5*y^2)-t^3.55/(g2*y)-t^4.64/(g2^3*y)-t^5.73/(g2^5*y)-(g1^2*t^6.15)/(g2^12*y)-(g2^5*t^6.27)/y-(g1^2*t^6.68)/(g2^2*y)-(g2^4*t^6.81)/y-t^6.83/(g2^7*y)-(g1^2*t^7.25)/(g2^14*y)-(g2^3*t^7.36)/y-(g1^2*t^7.78)/(g2^4*y)+(g1^2*t^7.79)/(g2^15*y)-t^7.92/(g2^9*y)+(2*g1^2*t^8.32)/(g2^5*y)-(g1^2*t^8.34)/(g2^16*y)+(g1^4*t^8.74)/(g2^12*y)-(g1^4*t^8.76)/(g2^23*y)+(g1^2*g2^5*t^8.86)/y-(g1^2*t^8.87)/(g2^6*y)-(t^3.55*y)/g2-(t^4.64*y)/g2^3-(t^5.73*y)/g2^5-(g1^2*t^6.15*y)/g2^12-g2^5*t^6.27*y-(g1^2*t^6.68*y)/g2^2-g2^4*t^6.81*y-(t^6.83*y)/g2^7-(g1^2*t^7.25*y)/g2^14-g2^3*t^7.36*y-(g1^2*t^7.78*y)/g2^4+(g1^2*t^7.79*y)/g2^15-(t^7.92*y)/g2^9+(2*g1^2*t^8.32*y)/g2^5-(g1^2*t^8.34*y)/g2^16+(g1^4*t^8.74*y)/g2^12-(g1^4*t^8.76*y)/g2^23+g1^2*g2^5*t^8.86*y-(g1^2*t^8.87*y)/g2^6+(t^8.19*y^2)/g2^4-(t^8.73*y^2)/g2^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8228 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ | 1.1778 | 1.3093 | 0.8996 | [X:[1.6457], M:[0.8448, 0.8858], q:[0.489, 0.4481], qb:[], phi:[0.1772]] | t^2.13+t^2.53+t^2.66+t^2.81+t^3.22+t^3.87+t^4.25+t^4.28+t^4.41+t^4.53+t^4.66+t^4.78+2*t^4.94+t^5.07+t^5.19+t^5.31+2*t^5.35+t^5.47+t^5.62+t^5.75-t^6.-t^3.53/y-t^4.59/y-t^5.66/y-t^3.53*y-t^4.59*y-t^5.66*y | detail | |
| 8225 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ | 1.1761 | 1.3049 | 0.9013 | [X:[1.6466], M:[0.8835, 0.8835], q:[0.4699, 0.4699], qb:[], phi:[0.1767]] | t^2.12+2*t^2.65+t^2.82+t^3.35+t^3.88+t^4.24+3*t^4.41+2*t^4.77+2*t^4.94+3*t^5.3+3*t^5.47+t^5.64-t^6.-t^3.53/y-t^4.59/y-t^5.65/y-t^3.53*y-t^4.59*y-t^5.65*y | detail | |
| 8229 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1^2q_1q_2$ | 1.1885 | 1.3327 | 0.8918 | [X:[1.6383], M:[0.8618, 0.7234], q:[0.4787, 0.4363], qb:[], phi:[0.1808]] | 2*t^2.17+t^2.59+t^2.74+t^3.16+t^3.29+t^4.25+3*t^4.34+t^4.37+t^4.5+2*t^4.76+3*t^4.91+t^5.17+3*t^5.33+2*t^5.46+t^5.49+t^5.75+t^5.91-2*t^6.-t^3.54/y-t^4.63/y-(2*t^5.71)/y-t^3.54*y-t^4.63*y-2*t^5.71*y | detail | |
| 8226 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ \phi_1^4X_2$ | 0.7797 | 0.7789 | 1.0011 | [X:[1.8027, 1.6054], M:[0.9866], q:[0.4574, 0.9507], qb:[], phi:[0.0987]] | t^2.96+t^3.63+t^4.22+t^4.82+t^5.92-t^6.-t^3.3/y-t^3.89/y-t^3.3*y-t^3.89*y | detail | |
| 8224 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ \phi_1^8$ + $ q_1q_2X_2$ | 0.9628 | 1.1046 | 0.8716 | [X:[1.5, 1.5], M:[1.2307], q:[0.2596, 0.2404], qb:[], phi:[0.25]] | t^2.19+t^2.25+2*t^3.+2*t^3.69+t^3.75+t^3.81+t^4.38+t^4.44+3*t^4.5+2*t^5.19+2*t^5.25+2*t^5.88+2*t^5.94+2*t^6.-t^3.75/y-t^5.25/y-t^5.94/y-t^6./y-t^3.75*y-t^5.25*y-t^5.94*y-t^6.*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8183 | Sp2adj1nf1 | $\phi_1^2X_1$ | 1.1597 | 1.2847 | 0.9027 | [X:[1.6249], M:[], q:[0.4374, 0.4374], qb:[], phi:[0.1875]] | t^2.25+t^2.62+3*t^3.19+t^3.75+3*t^4.31+t^4.5+2*t^4.87+t^5.25+3*t^5.44+3*t^5.81-3*t^6.-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 |