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 |
|---|---|---|---|---|---|---|---|---|---|
| 47230 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4\phi_1^2$ | 0.7182 | 0.8876 | 0.8092 | [X:[], M:[0.8798, 0.8198, 1.0, 1.0601, 1.0, 0.8798], q:[0.5901, 0.53], qb:[0.5901, 0.4099], phi:[0.47]] | [X:[], M:[[1, 7], [0, 6], [-1, -3], [0, -2], [1, 3], [-1, 1]], q:[[-1, -6], [0, -1]], qb:[[1, 0], [0, 3]], phi:[[0, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ M_1$, $ \phi_1^2$, $ M_3$, $ M_5$, $ M_4$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_2^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2M_6$, $ M_1M_2$, $ M_6^2$, $ M_1M_6$, $ M_2\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_6\phi_1^2$, $ M_2M_5$, $ M_1\phi_1^2$, $ M_3M_6$, $ M_1M_3$, $ M_2M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_1M_5$, $ M_4M_6$, $ M_3\phi_1^2$, $ M_1M_4$, $ M_5\phi_1^2$ | $M_3^2$, $ M_5^2$ | -2 | t^2.46 + 2*t^2.64 + t^2.82 + 2*t^3. + t^3.18 + t^3.87 + t^4.23 + 2*t^4.41 + t^4.59 + 2*t^4.77 + t^4.92 + 3*t^4.95 + 2*t^5.1 + 4*t^5.28 + 2*t^5.46 + 5*t^5.64 + 2*t^5.82 - 2*t^6. + t^6.33 - t^6.36 + 2*t^6.51 - 2*t^6.54 + 2*t^6.69 + 4*t^6.87 + 5*t^7.05 + 4*t^7.23 + t^7.38 + 6*t^7.41 + 2*t^7.56 + 6*t^7.59 + 5*t^7.74 + t^7.77 + 6*t^7.92 + 2*t^7.95 + 5*t^8.1 - t^8.13 + 8*t^8.28 - 2*t^8.31 + t^8.46 - 4*t^8.64 + t^8.79 + 2*t^8.97 - t^4.41/y - t^6.87/y - (2*t^7.05)/y + (2*t^7.77)/y + t^7.95/y + (2*t^8.1)/y + (2*t^8.28)/y + (4*t^8.46)/y + (5*t^8.64)/y + (4*t^8.82)/y - t^4.41*y - t^6.87*y - 2*t^7.05*y + 2*t^7.77*y + t^7.95*y + 2*t^8.1*y + 2*t^8.28*y + 4*t^8.46*y + 5*t^8.64*y + 4*t^8.82*y | g2^6*t^2.46 + (g2*t^2.64)/g1 + g1*g2^7*t^2.64 + g2^2*t^2.82 + t^3./(g1*g2^3) + g1*g2^3*t^3. + t^3.18/g2^2 + g2^7*t^3.87 + g2^3*t^4.23 + t^4.41/(g1*g2^2) + g1*g2^4*t^4.41 + t^4.59/g2 + g1*t^4.77 + t^4.77/(g1*g2^6) + g2^12*t^4.92 + t^4.95/(g1^2*g2^11) + t^4.95/g2^5 + g1^2*g2*t^4.95 + (g2^7*t^5.1)/g1 + g1*g2^13*t^5.1 + (g2^2*t^5.28)/g1^2 + 2*g2^8*t^5.28 + g1^2*g2^14*t^5.28 + (g2^3*t^5.46)/g1 + g1*g2^9*t^5.46 + t^5.64/(g1^2*g2^2) + 3*g2^4*t^5.64 + g1^2*g2^10*t^5.64 + t^5.82/(g1*g2) + g1*g2^5*t^5.82 - 2*t^6. + g2^13*t^6.33 - t^6.36/g2^4 + (g2^8*t^6.51)/g1 + g1*g2^14*t^6.51 - t^6.54/(g1*g2^9) - (g1*t^6.54)/g2^3 + 2*g2^9*t^6.69 + (2*g2^4*t^6.87)/g1 + 2*g1*g2^10*t^6.87 + t^7.05/(g1^2*g2) + 3*g2^5*t^7.05 + g1^2*g2^11*t^7.05 + (2*t^7.23)/g1 + 2*g1*g2^6*t^7.23 + g2^18*t^7.38 + (2*t^7.41)/(g1^2*g2^5) + 2*g2*t^7.41 + 2*g1^2*g2^7*t^7.41 + (g2^13*t^7.56)/g1 + g1*g2^19*t^7.56 + t^7.59/(g1^3*g2^10) + (2*t^7.59)/(g1*g2^4) + 2*g1*g2^2*t^7.59 + g1^3*g2^8*t^7.59 + (g2^8*t^7.74)/g1^2 + 3*g2^14*t^7.74 + g1^2*g2^20*t^7.74 + t^7.77/(g1^2*g2^9) - t^7.77/g2^3 + g1^2*g2^3*t^7.77 + (g2^3*t^7.92)/g1^3 + (2*g2^9*t^7.92)/g1 + 2*g1*g2^15*t^7.92 + g1^3*g2^21*t^7.92 + t^7.95/(g1^3*g2^14) + g1^3*g2^4*t^7.95 + (g2^4*t^8.1)/g1^2 + 3*g2^10*t^8.1 + g1^2*g2^16*t^8.1 - t^8.13/g2^7 + t^8.28/(g1^3*g2) + (3*g2^5*t^8.28)/g1 + 3*g1*g2^11*t^8.28 + g1^3*g2^17*t^8.28 - t^8.31/(g1*g2^12) - (g1*t^8.31)/g2^6 + t^8.46/g1^2 - g2^6*t^8.46 + g1^2*g2^12*t^8.46 - (2*g2*t^8.64)/g1 - 2*g1*g2^7*t^8.64 + g2^19*t^8.79 + t^8.82/(g1^2*g2^4) - 2*g2^2*t^8.82 + g1^2*g2^8*t^8.82 + (g2^14*t^8.97)/g1 + g1*g2^20*t^8.97 - (g2*t^4.41)/y - (g2^7*t^6.87)/y - (g2^2*t^7.05)/(g1*y) - (g1*g2^8*t^7.05)/y + (g1*t^7.77)/y + t^7.77/(g1*g2^6*y) + t^7.95/(g2^5*y) + (g2^7*t^8.1)/(g1*y) + (g1*g2^13*t^8.1)/y + (2*g2^8*t^8.28)/y + (2*g2^3*t^8.46)/(g1*y) + (2*g1*g2^9*t^8.46)/y + t^8.64/(g1^2*g2^2*y) + (3*g2^4*t^8.64)/y + (g1^2*g2^10*t^8.64)/y + (2*t^8.82)/(g1*g2*y) + (2*g1*g2^5*t^8.82)/y - g2*t^4.41*y - g2^7*t^6.87*y - (g2^2*t^7.05*y)/g1 - g1*g2^8*t^7.05*y + g1*t^7.77*y + (t^7.77*y)/(g1*g2^6) + (t^7.95*y)/g2^5 + (g2^7*t^8.1*y)/g1 + g1*g2^13*t^8.1*y + 2*g2^8*t^8.28*y + (2*g2^3*t^8.46*y)/g1 + 2*g1*g2^9*t^8.46*y + (t^8.64*y)/(g1^2*g2^2) + 3*g2^4*t^8.64*y + g1^2*g2^10*t^8.64*y + (2*t^8.82*y)/(g1*g2) + 2*g1*g2^5*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 53488 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4\phi_1^2$ + $ M_1M_4$ | 0.7134 | 0.8806 | 0.8101 | [X:[], M:[0.9499, 0.8496, 0.9499, 1.0501, 1.0501, 0.8496], q:[0.5251, 0.5251], qb:[0.6253, 0.4248], phi:[0.4749]] | 2*t^2.55 + 3*t^2.85 + 2*t^3.15 + t^3.97 + 2*t^4.27 + 4*t^4.58 + 2*t^4.88 + 3*t^5.1 + t^5.18 + 5*t^5.4 + 6*t^5.7 - t^4.42/y - t^4.42*y | detail | |
| 52287 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4\phi_1^2$ + $ M_2M_5$ | 0.7 | 0.8606 | 0.8133 | [X:[], M:[1.0201, 0.9396, 0.9396, 1.0201, 1.0604, 0.8994], q:[0.4698, 0.5101], qb:[0.5906, 0.4698], phi:[0.4899]] | t^2.7 + 2*t^2.82 + t^2.94 + 2*t^3.06 + t^3.18 + 3*t^4.29 + 2*t^4.41 + t^4.53 + 2*t^4.65 + t^4.77 + t^5.01 + t^5.4 + 2*t^5.52 + 2*t^5.64 + 3*t^5.76 + 4*t^5.88 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 55427 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4\phi_1^2$ + $ M_5M_7$ | 0.7196 | 0.8908 | 0.8078 | [X:[], M:[0.909, 0.8195, 0.9707, 1.0602, 1.0293, 0.8503, 0.9707], q:[0.5609, 0.5301], qb:[0.6196, 0.4097], phi:[0.4699]] | t^2.46 + t^2.55 + t^2.73 + t^2.82 + 2*t^2.91 + t^3.18 + t^3.87 + t^4.23 + t^4.32 + t^4.5 + t^4.59 + t^4.68 + t^4.78 + t^4.86 + t^4.92 + t^4.95 + t^5.01 + t^5.1 + t^5.13 + t^5.19 + 2*t^5.28 + 2*t^5.37 + t^5.45 + 2*t^5.46 + 3*t^5.64 + 2*t^5.73 + 2*t^5.82 - 3*t^6. - t^4.41/y - t^4.41*y | detail | |
| 55553 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4\phi_1^2$ + $ M_7\phi_1^2$ | 0.7129 | 0.8776 | 0.8123 | [X:[], M:[0.8913, 0.837, 1.0, 1.0543, 1.0, 0.8913, 1.0543], q:[0.5815, 0.5272], qb:[0.5815, 0.4185], phi:[0.4728]] | t^2.51 + 2*t^2.67 + 2*t^3. + 2*t^3.16 + t^3.93 + t^4.26 + 2*t^4.42 + t^4.58 + 2*t^4.74 + 3*t^4.91 + t^5.02 + 2*t^5.19 + 3*t^5.35 + 5*t^5.67 + 2*t^5.84 - 3*t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46406 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ | 0.7478 | 0.9314 | 0.8029 | [X:[], M:[0.7502, 0.889, 1.0, 0.8612, 1.0, 0.7502], q:[0.5555, 0.6943], qb:[0.5555, 0.4445], phi:[0.4375]] | 2*t^2.25 + t^2.58 + t^2.63 + t^2.67 + 2*t^3. + t^3.98 + 2*t^4.31 + 3*t^4.5 + 3*t^4.65 + t^4.73 + 2*t^4.83 + 2*t^4.88 + 2*t^4.92 + 2*t^5.06 + t^5.17 + t^5.21 + 5*t^5.25 + t^5.29 + t^5.33 + t^5.48 + 2*t^5.63 - 3*t^6. - t^4.31/y - t^4.31*y | detail |