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 |