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 |
|---|---|---|---|---|---|---|---|---|---|
| 1952 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ | 0.5734 | 0.7016 | 0.8172 | [X:[1.5896, 1.3583], M:[1.0, 0.6417, 0.4104, 1.2312, 0.7688], q:[0.6792, 0.3208], qb:[0.9104, 0.4479], phi:[0.4104]] | [X:[[1], [4]], M:[[0], [-4], [-1], [-3], [3]], q:[[2], [-2]], qb:[[-1], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ \phi_1^2$, $ M_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_4$, $ \phi_1\tilde{q}_2^2$, $ X_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ X_1$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_5\phi_1q_2^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_5\phi_1q_2\tilde{q}_2$ | $\phi_1^3q_2\tilde{q}_2$ | 0 | t^2.31 + t^2.46 + t^3. + t^3.16 + t^3.38 + t^3.54 + t^3.69 + t^3.92 + t^4.08 + t^4.61 + 2*t^4.77 + t^4.92 + t^5.31 + t^5.46 + t^5.69 + t^5.84 + t^6.16 + t^6.23 + t^6.31 + 2*t^6.38 + t^6.54 + t^6.76 + 2*t^6.92 + 2*t^7.08 + t^7.23 + t^7.3 + t^7.39 + t^7.46 + t^7.61 + t^7.77 + t^7.84 + 2*t^7.99 + 2*t^8.15 - t^8.31 + t^8.53 + 2*t^8.69 - t^4.23/y - t^6.69/y + (2*t^7.77)/y + t^8.31/y + (2*t^8.46)/y + t^8.62/y + t^8.69/y + (2*t^8.84)/y - t^4.23*y - t^6.69*y + 2*t^7.77*y + t^8.31*y + 2*t^8.46*y + t^8.62*y + t^8.69*y + 2*t^8.84*y | g1^3*t^2.31 + t^2.46/g1^2 + t^3. + t^3.16/g1^5 + g1^7*t^3.38 + g1^2*t^3.54 + t^3.69/g1^3 + g1^9*t^3.92 + g1^4*t^4.08 + g1^6*t^4.61 + 2*g1*t^4.77 + t^4.92/g1^4 + g1^3*t^5.31 + t^5.46/g1^2 + g1^10*t^5.69 + g1^5*t^5.84 + t^6.16/g1^5 + g1^12*t^6.23 + t^6.31/g1^10 + 2*g1^7*t^6.38 + g1^2*t^6.54 + g1^14*t^6.76 + 2*g1^9*t^6.92 + 2*g1^4*t^7.08 + t^7.23/g1 + g1^16*t^7.3 + t^7.39/g1^6 + g1^11*t^7.46 + g1^6*t^7.61 + g1*t^7.77 + g1^18*t^7.84 + 2*g1^13*t^7.99 + 2*g1^8*t^8.15 - g1^3*t^8.31 + g1^15*t^8.53 + 2*g1^10*t^8.69 - t^4.23/(g1*y) - t^6.69/(g1^3*y) + (2*g1*t^7.77)/y + (g1^3*t^8.31)/y + (2*t^8.46)/(g1^2*y) + t^8.62/(g1^7*y) + (g1^10*t^8.69)/y + (2*g1^5*t^8.84)/y - (t^4.23*y)/g1 - (t^6.69*y)/g1^3 + 2*g1*t^7.77*y + g1^3*t^8.31*y + (2*t^8.46*y)/g1^2 + (t^8.62*y)/g1^7 + g1^10*t^8.69*y + 2*g1^5*t^8.84*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 2998 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ + $ M_4M_6$ | 0.5917 | 0.7355 | 0.8045 | [X:[1.5874, 1.3497], M:[1.0, 0.6503, 0.4126, 1.2377, 0.7623, 0.7623], q:[0.6748, 0.3252], qb:[0.9126, 0.4371], phi:[0.4126]] | 2*t^2.29 + t^2.48 + t^3. + t^3.19 + t^3.34 + t^3.52 + t^3.86 + t^4.05 + 3*t^4.57 + 3*t^4.76 + t^4.95 + 2*t^5.29 + 2*t^5.48 + 2*t^5.62 + 2*t^5.81 - t^6. - t^4.24/y - t^4.24*y | detail | |
| 3000 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.5887 | 0.7277 | 0.8089 | [X:[1.5917, 1.3667], M:[1.0, 0.6333, 0.4083, 1.225, 0.775, 0.8167], q:[0.6833, 0.3167], qb:[0.9083, 0.4583], phi:[0.4083]] | t^2.32 + 2*t^2.45 + t^3. + t^3.13 + t^3.42 + t^3.68 + t^3.97 + t^4.1 + t^4.65 + 3*t^4.77 + 3*t^4.9 + t^5.32 + 2*t^5.45 + t^5.58 + t^5.75 + t^5.87 - t^6. - t^4.23/y - t^4.23*y | detail | |
| 2999 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.5941 | 0.7418 | 0.8009 | [X:[1.5908, 1.3633], M:[1.0, 0.6367, 0.4092, 1.2275, 0.7725, 0.6825], q:[0.6817, 0.3183], qb:[0.9092, 0.4541], phi:[0.4092]] | t^2.05 + t^2.32 + t^2.46 + t^3. + t^3.14 + t^3.41 + t^3.54 + t^3.68 + t^4.09 + t^4.1 + t^4.37 + t^4.5 + t^4.63 + 2*t^4.77 + t^4.91 + t^5.05 + t^5.19 + t^5.32 + 2*t^5.46 + t^5.59 + t^5.72 + t^5.73 + t^5.86 - t^4.23/y - t^4.23*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 |
|---|---|---|---|---|---|---|---|---|---|
| 598 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ | 0.7203 | 0.8855 | 0.8134 | [X:[], M:[1.0, 0.8402, 0.8171, 1.0231, 0.9769], q:[0.5799, 0.4201], qb:[0.603, 0.5568], phi:[0.4601]] | t^2.45 + t^2.52 + t^2.76 + t^2.93 + t^3. + t^3.07 + t^3.41 + t^3.9 + t^4.31 + t^4.38 + t^4.45 + t^4.72 + t^4.79 + 2*t^4.86 + t^4.9 + t^4.93 + t^4.97 + t^5. + t^5.04 + t^5.21 + t^5.28 + t^5.38 + t^5.45 + 2*t^5.52 + t^5.69 + t^5.76 + t^5.83 + t^5.86 - 2*t^6. - t^4.38/y - t^4.38*y | detail |