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 |
|---|---|---|---|---|---|---|---|---|---|
| 1148 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ | 0.6771 | 0.8451 | 0.8012 | [X:[], M:[0.9789, 1.0834, 1.1457, 0.8543, 0.792, 0.7497], q:[0.7709, 0.5417], qb:[0.4794, 0.3749], phi:[0.4583]] | [X:[], M:[[13], [-4], [5], [-5], [-14], [12]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ M_5M_6$, $ \phi_1q_2^2$, $ M_5^2$, $ M_4M_6$, $ M_4M_5$, $ M_6\phi_1^2$, $ M_4^2$, $ M_5\phi_1^2$, $ M_1M_6$, $ M_1M_5$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_2M_6$, $ \phi_1^4$, $ M_2M_5$, $ M_3M_6$, $ M_1\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ M_1^2$ | . | -1 | t^2.25 + t^2.38 + t^2.56 + t^2.75 + t^2.94 + t^3.25 + t^3.44 + 2*t^3.94 + t^4.12 + t^4.25 + t^4.44 + t^4.5 + 2*t^4.63 + t^4.75 + t^4.81 + t^4.94 + t^5. + 2*t^5.13 + t^5.19 + 2*t^5.31 + 2*t^5.5 + t^5.63 + t^5.69 + t^5.81 + t^5.87 - t^6. + 2*t^6.19 + t^6.31 + 2*t^6.37 + 2*t^6.5 + t^6.63 + 2*t^6.69 + t^6.75 + 2*t^6.81 + 3*t^6.87 + 3*t^7. + t^7.06 + t^7.13 + 2*t^7.19 + t^7.25 + t^7.31 + 3*t^7.37 + t^7.44 + 2*t^7.5 + 2*t^7.56 + 2*t^7.69 + 2*t^7.75 + 3*t^7.88 + t^7.94 + t^8. + 2*t^8.06 + t^8.12 + 2*t^8.19 - t^8.38 + 2*t^8.44 + t^8.5 + 2*t^8.62 + 2*t^8.69 + t^8.75 + t^8.81 + 2*t^8.88 - t^8.94 - t^4.37/y - t^6.62/y - t^6.75/y - t^7.31/y + t^7.44/y + t^7.63/y + t^7.81/y + t^7.94/y + (2*t^8.)/y + (2*t^8.13)/y + t^8.19/y + (2*t^8.31)/y + (2*t^8.5)/y + t^8.63/y + (2*t^8.69)/y + (2*t^8.81)/y - t^8.87/y - t^4.37*y - t^6.62*y - t^6.75*y - t^7.31*y + t^7.44*y + t^7.63*y + t^7.81*y + t^7.94*y + 2*t^8.*y + 2*t^8.13*y + t^8.19*y + 2*t^8.31*y + 2*t^8.5*y + t^8.63*y + 2*t^8.69*y + 2*t^8.81*y - t^8.87*y | g1^12*t^2.25 + t^2.38/g1^14 + t^2.56/g1^5 + g1^4*t^2.75 + g1^13*t^2.94 + t^3.25/g1^4 + g1^5*t^3.44 + (2*t^3.94)/g1^3 + g1^6*t^4.12 + t^4.25/g1^20 + t^4.44/g1^11 + g1^24*t^4.5 + (2*t^4.63)/g1^2 + t^4.75/g1^28 + g1^7*t^4.81 + t^4.94/g1^19 + g1^16*t^5. + (2*t^5.13)/g1^10 + g1^25*t^5.19 + (2*t^5.31)/g1 + 2*g1^8*t^5.5 + t^5.63/g1^18 + g1^17*t^5.69 + t^5.81/g1^9 + g1^26*t^5.87 - t^6. + 2*g1^9*t^6.19 + t^6.31/g1^17 + 2*g1^18*t^6.37 + (2*t^6.5)/g1^8 + t^6.63/g1^34 + 2*g1*t^6.69 + g1^36*t^6.75 + (2*t^6.81)/g1^25 + 3*g1^10*t^6.87 + (3*t^7.)/g1^16 + g1^19*t^7.06 + t^7.13/g1^42 + (2*t^7.19)/g1^7 + g1^28*t^7.25 + t^7.31/g1^33 + 3*g1^2*t^7.37 + g1^37*t^7.44 + (2*t^7.5)/g1^24 + 2*g1^11*t^7.56 + (2*t^7.69)/g1^15 + 2*g1^20*t^7.75 + (3*t^7.88)/g1^6 + g1^29*t^7.94 + t^8./g1^32 + 2*g1^3*t^8.06 + g1^38*t^8.12 + (2*t^8.19)/g1^23 - t^8.38/g1^14 + 2*g1^21*t^8.44 + t^8.5/g1^40 + 2*g1^30*t^8.62 + (2*t^8.69)/g1^31 + g1^4*t^8.75 + g1^39*t^8.81 + (2*t^8.88)/g1^22 - g1^13*t^8.94 - (g1^2*t^4.37)/y - (g1^14*t^6.62)/y - t^6.75/(g1^12*y) - (g1^15*t^7.31)/y + t^7.44/(g1^11*y) + t^7.63/(g1^2*y) + (g1^7*t^7.81)/y + t^7.94/(g1^19*y) + (2*g1^16*t^8.)/y + (2*t^8.13)/(g1^10*y) + (g1^25*t^8.19)/y + (2*t^8.31)/(g1*y) + (2*g1^8*t^8.5)/y + t^8.63/(g1^18*y) + (2*g1^17*t^8.69)/y + (2*t^8.81)/(g1^9*y) - (g1^26*t^8.87)/y - g1^2*t^4.37*y - g1^14*t^6.62*y - (t^6.75*y)/g1^12 - g1^15*t^7.31*y + (t^7.44*y)/g1^11 + (t^7.63*y)/g1^2 + g1^7*t^7.81*y + (t^7.94*y)/g1^19 + 2*g1^16*t^8.*y + (2*t^8.13*y)/g1^10 + g1^25*t^8.19*y + (2*t^8.31*y)/g1 + 2*g1^8*t^8.5*y + (t^8.63*y)/g1^18 + 2*g1^17*t^8.69*y + (2*t^8.81*y)/g1^9 - g1^26*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 2193 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ + $ M_1M_7$ | 0.6768 | 0.8462 | 0.7998 | [X:[], M:[1.0146, 1.0724, 1.1595, 0.8405, 0.7535, 0.7827, 0.9854], q:[0.7681, 0.5362], qb:[0.4492, 0.3914], phi:[0.4638]] | t^2.26 + t^2.35 + t^2.52 + t^2.78 + t^2.96 + t^3.22 + t^3.48 + 2*t^3.91 + t^4.09 + t^4.17 + t^4.35 + t^4.52 + 2*t^4.61 + t^4.7 + t^4.78 + t^4.87 + 2*t^5.04 + t^5.13 + t^5.22 + 2*t^5.3 + 2*t^5.48 + t^5.57 + 2*t^5.74 + t^5.91 - t^6. - t^4.39/y - t^4.39*y | detail | |
| 2189 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ + $ M_2M_7$ | 0.6849 | 0.8581 | 0.7981 | [X:[], M:[0.9685, 1.0866, 1.1417, 0.8583, 0.8031, 0.7402, 0.9134], q:[0.7717, 0.5433], qb:[0.4882, 0.3701], phi:[0.4567]] | t^2.22 + t^2.41 + t^2.57 + 2*t^2.74 + t^2.91 + t^3.43 + 2*t^3.94 + t^4.11 + t^4.3 + t^4.44 + t^4.46 + 2*t^4.63 + t^4.8 + t^4.82 + 2*t^4.96 + t^4.98 + t^5.13 + 3*t^5.15 + 3*t^5.31 + 3*t^5.48 + 2*t^5.65 + t^5.81 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 2191 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_7$ | 0.6901 | 0.8675 | 0.7954 | [X:[], M:[0.9899, 1.08, 1.15, 0.85, 0.7801, 0.7599, 0.85], q:[0.77, 0.54], qb:[0.4701, 0.38], phi:[0.46]] | t^2.28 + t^2.34 + 2*t^2.55 + t^2.76 + t^2.97 + t^3.24 + 2*t^3.93 + t^4.14 + t^4.2 + t^4.41 + t^4.56 + 2*t^4.62 + t^4.68 + 2*t^4.83 + 2*t^4.89 + t^5.04 + 4*t^5.1 + t^5.25 + 3*t^5.31 + 3*t^5.52 + t^5.58 + t^5.79 + t^5.94 - 2*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 703 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6584 | 0.8119 | 0.8109 | [X:[], M:[0.9956, 1.0783, 1.1521, 0.8479, 0.774], q:[0.7696, 0.5391], qb:[0.4653, 0.3826], phi:[0.4609]] | t^2.32 + t^2.54 + t^2.77 + t^2.99 + t^3.23 + t^3.46 + t^3.7 + 2*t^3.93 + t^4.15 + t^4.17 + t^4.4 + t^4.62 + t^4.64 + t^4.87 + 2*t^5.09 + 2*t^5.31 + t^5.53 + t^5.56 + t^5.78 + t^5.97 - t^6. - t^4.38/y - t^4.38*y | detail |