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 |
|---|---|---|---|---|---|---|---|---|---|
| 4345 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_4M_7$ | 0.7044 | 0.8684 | 0.8112 | [X:[], M:[1.0547, 1.0273, 0.8907, 1.0547, 0.8907, 1.0, 0.9453, 0.9453], q:[0.4453, 0.5], qb:[0.5, 0.6093], phi:[0.4863]] | [X:[], M:[[4], [2], [-8], [4], [-8], [0], [-4], [-4]], q:[[-4], [0]], qb:[[0], [8]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ M_7$, $ M_8$, $ M_6$, $ M_2$, $ M_4$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_3M_7$, $ M_5M_7$, $ M_3M_8$, $ M_5M_8$, $ M_3M_6$, $ M_5M_6$, $ M_7^2$, $ M_7M_8$, $ M_8^2$, $ M_2M_3$, $ M_2M_5$, $ M_3M_4$, $ M_4M_5$, $ M_6M_7$, $ M_6M_8$, $ M_2M_7$, $ M_2M_8$ | $M_4M_8$ | -3 | 2*t^2.67 + 2*t^2.84 + t^3. + t^3.08 + t^3.16 + t^4.13 + 2*t^4.3 + 3*t^4.46 + t^4.62 + 2*t^4.79 + t^5.11 + 3*t^5.34 + 3*t^5.51 + 3*t^5.67 + 2*t^5.75 + 2*t^5.84 + 2*t^5.92 - 3*t^6. + t^6.08 - t^6.16 + t^6.25 - t^6.33 - t^6.49 + 2*t^6.8 + 5*t^6.97 + 8*t^7.13 + 7*t^7.3 + 4*t^7.46 + t^7.62 + t^7.79 + t^7.95 + 4*t^8.02 + 4*t^8.18 + t^8.26 + t^8.28 + 4*t^8.34 + 5*t^8.43 + 3*t^8.51 + 6*t^8.59 - 8*t^8.67 + 8*t^8.75 - 10*t^8.84 + 9*t^8.92 - t^4.46/y - (2*t^7.13)/y + (2*t^7.79)/y + t^8.34/y + (4*t^8.51)/y + (3*t^8.67)/y + (2*t^8.75)/y + (4*t^8.84)/y + (2*t^8.92)/y - t^4.46*y - 2*t^7.13*y + 2*t^7.79*y + t^8.34*y + 4*t^8.51*y + 3*t^8.67*y + 2*t^8.75*y + 4*t^8.84*y + 2*t^8.92*y | (2*t^2.67)/g1^8 + (2*t^2.84)/g1^4 + t^3. + g1^2*t^3.08 + g1^4*t^3.16 + t^4.13/g1^9 + (2*t^4.3)/g1^5 + (3*t^4.46)/g1 + g1^3*t^4.62 + 2*g1^7*t^4.79 + g1^15*t^5.11 + (3*t^5.34)/g1^16 + (3*t^5.51)/g1^12 + (3*t^5.67)/g1^8 + (2*t^5.75)/g1^6 + (2*t^5.84)/g1^4 + (2*t^5.92)/g1^2 - 3*t^6. + g1^2*t^6.08 - g1^4*t^6.16 + g1^6*t^6.25 - g1^8*t^6.33 - g1^12*t^6.49 + (2*t^6.8)/g1^17 + (5*t^6.97)/g1^13 + (8*t^7.13)/g1^9 + (7*t^7.3)/g1^5 + (4*t^7.46)/g1 + g1^3*t^7.62 + g1^7*t^7.79 + g1^11*t^7.95 + (4*t^8.02)/g1^24 + (4*t^8.18)/g1^20 + t^8.26/g1^18 + g1^19*t^8.28 + (4*t^8.34)/g1^16 + (5*t^8.43)/g1^14 + (3*t^8.51)/g1^12 + (6*t^8.59)/g1^10 - (8*t^8.67)/g1^8 + (8*t^8.75)/g1^6 - (10*t^8.84)/g1^4 + (9*t^8.92)/g1^2 - t^4.46/(g1*y) - (2*t^7.13)/(g1^9*y) + (2*g1^7*t^7.79)/y + t^8.34/(g1^16*y) + (4*t^8.51)/(g1^12*y) + (3*t^8.67)/(g1^8*y) + (2*t^8.75)/(g1^6*y) + (4*t^8.84)/(g1^4*y) + (2*t^8.92)/(g1^2*y) - (t^4.46*y)/g1 - (2*t^7.13*y)/g1^9 + 2*g1^7*t^7.79*y + (t^8.34*y)/g1^16 + (4*t^8.51*y)/g1^12 + (3*t^8.67*y)/g1^8 + (2*t^8.75*y)/g1^6 + (4*t^8.84*y)/g1^4 + (2*t^8.92*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5796 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_4M_7$ + $ M_4M_9$ | 0.71 | 0.8794 | 0.8073 | [X:[], M:[1.0649, 1.0325, 0.8702, 1.0649, 0.8702, 1.0, 0.9351, 0.9351, 0.9351], q:[0.4351, 0.5], qb:[0.5, 0.6298], phi:[0.4838]] | 2*t^2.61 + 3*t^2.81 + t^3. + t^3.1 + t^4.06 + 2*t^4.26 + 3*t^4.45 + t^4.65 + 2*t^4.84 + 3*t^5.22 + t^5.23 + 5*t^5.42 + 6*t^5.61 + 2*t^5.71 + t^5.81 + 3*t^5.9 - 5*t^6. - t^4.45/y - t^4.45*y | detail | |
| 5795 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_4M_7$ + $ M_7M_9$ | 0.6998 | 0.8595 | 0.8142 | [X:[], M:[1.0441, 1.0221, 0.9117, 1.0441, 0.9117, 1.0, 0.9559, 0.9559, 1.0441], q:[0.4559, 0.5], qb:[0.5, 0.5883], phi:[0.489]] | 2*t^2.74 + t^2.87 + t^3. + t^3.07 + 2*t^3.13 + t^4.2 + 2*t^4.33 + 3*t^4.47 + t^4.6 + 2*t^4.73 + t^5. + 3*t^5.47 + t^5.6 + t^5.74 + 2*t^5.8 + 3*t^5.87 + t^5.93 - 3*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2349 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ | 0.7136 | 0.8827 | 0.8084 | [X:[], M:[1.0914, 1.0457, 0.8172, 0.9603, 0.9483, 1.0, 0.9086, 0.9086], q:[0.4742, 0.4344], qb:[0.5656, 0.6173], phi:[0.4771]] | t^2.45 + 2*t^2.73 + t^2.84 + t^2.88 + t^3. + t^3.14 + t^4.04 + t^4.16 + t^4.28 + t^4.43 + t^4.55 + t^4.59 + t^4.71 + t^4.82 + t^4.9 + t^4.98 + t^5.13 + 2*t^5.18 + t^5.3 + t^5.33 + 3*t^5.45 + t^5.57 + t^5.59 + t^5.61 + t^5.69 + 2*t^5.73 + t^5.76 + 2*t^5.86 + t^5.98 - 3*t^6. - t^4.43/y - t^4.43*y | detail |