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 |
|---|---|---|---|---|---|---|---|---|---|
| 1280 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_1M_2$ | 0.723 | 0.8948 | 0.8079 | [X:[], M:[0.9286, 1.0714, 0.7859, 1.0, 0.9286, 0.8572], q:[0.5, 0.5714], qb:[0.4286, 0.6428], phi:[0.4643]] | [X:[], M:[[-2], [2], [-6], [0], [-2], [-4]], q:[[0], [2]], qb:[[-2], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_4$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_3M_5$, $ M_6^2$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_1M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_4M_5$, $ M_2M_6$, $ M_4\phi_1^2$ | $M_2M_5$, $ M_2\phi_1^2$ | 0 | t^2.36 + t^2.57 + 3*t^2.79 + t^3. + t^3.21 + t^3.96 + t^4.18 + 2*t^4.39 + 2*t^4.61 + t^4.72 + 2*t^4.82 + t^4.93 + t^5.04 + 4*t^5.14 + t^5.25 + 3*t^5.36 + 6*t^5.57 + t^5.79 - 2*t^6.21 + t^6.32 - 2*t^6.43 + 2*t^6.54 - t^6.64 + 5*t^6.75 + 6*t^6.96 + t^7.07 + 7*t^7.18 + t^7.29 + 6*t^7.39 + 4*t^7.5 + 4*t^7.61 + 4*t^7.72 + t^7.82 + 9*t^7.93 + 5*t^8.14 - t^8.25 + 7*t^8.36 - t^8.46 - 2*t^8.57 + t^8.68 - 5*t^8.79 + 2*t^8.89 - t^4.39/y - t^6.75/y - t^6.96/y - (2*t^7.18)/y + (2*t^7.61)/y + t^7.82/y + t^7.93/y + t^8.04/y + (3*t^8.14)/y + (4*t^8.36)/y + (5*t^8.57)/y + (4*t^8.79)/y - t^4.39*y - t^6.75*y - t^6.96*y - 2*t^7.18*y + 2*t^7.61*y + t^7.82*y + t^7.93*y + t^8.04*y + 3*t^8.14*y + 4*t^8.36*y + 5*t^8.57*y + 4*t^8.79*y | t^2.36/g1^6 + t^2.57/g1^4 + (3*t^2.79)/g1^2 + t^3. + g1^2*t^3.21 + t^3.96/g1^5 + t^4.18/g1^3 + (2*t^4.39)/g1 + 2*g1*t^4.61 + t^4.72/g1^12 + 2*g1^3*t^4.82 + t^4.93/g1^10 + g1^5*t^5.04 + (4*t^5.14)/g1^8 + g1^7*t^5.25 + (3*t^5.36)/g1^6 + (6*t^5.57)/g1^4 + t^5.79/g1^2 - 2*g1^2*t^6.21 + t^6.32/g1^11 - 2*g1^4*t^6.43 + (2*t^6.54)/g1^9 - g1^6*t^6.64 + (5*t^6.75)/g1^7 + (6*t^6.96)/g1^5 + t^7.07/g1^18 + (7*t^7.18)/g1^3 + t^7.29/g1^16 + (6*t^7.39)/g1 + (4*t^7.5)/g1^14 + 4*g1*t^7.61 + (4*t^7.72)/g1^12 + g1^3*t^7.82 + (9*t^7.93)/g1^10 + (5*t^8.14)/g1^8 - g1^7*t^8.25 + (7*t^8.36)/g1^6 - g1^9*t^8.46 - (2*t^8.57)/g1^4 + t^8.68/g1^17 - (5*t^8.79)/g1^2 + (2*t^8.89)/g1^15 - t^4.39/(g1*y) - t^6.75/(g1^7*y) - t^6.96/(g1^5*y) - (2*t^7.18)/(g1^3*y) + (2*g1*t^7.61)/y + (g1^3*t^7.82)/y + t^7.93/(g1^10*y) + (g1^5*t^8.04)/y + (3*t^8.14)/(g1^8*y) + (4*t^8.36)/(g1^6*y) + (5*t^8.57)/(g1^4*y) + (4*t^8.79)/(g1^2*y) - (t^4.39*y)/g1 - (t^6.75*y)/g1^7 - (t^6.96*y)/g1^5 - (2*t^7.18*y)/g1^3 + 2*g1*t^7.61*y + g1^3*t^7.82*y + (t^7.93*y)/g1^10 + g1^5*t^8.04*y + (3*t^8.14*y)/g1^8 + (4*t^8.36*y)/g1^6 + (5*t^8.57*y)/g1^4 + (4*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 2316 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_2M_7$ | 0.7299 | 0.9081 | 0.8038 | [X:[], M:[0.922, 1.078, 0.7659, 1.0, 0.922, 0.8439, 0.922], q:[0.5, 0.578], qb:[0.422, 0.6561], phi:[0.461]] | t^2.3 + t^2.53 + 4*t^2.77 + t^3. + t^3.91 + t^4.15 + 2*t^4.38 + t^4.6 + 2*t^4.62 + t^4.83 + 2*t^4.85 + 5*t^5.06 + t^5.09 + 4*t^5.3 + t^5.32 + 9*t^5.53 + t^5.77 - 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 801 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.7674 | 0.9598 | 0.7995 | [X:[], M:[0.8347, 0.8347, 0.8347, 1.0, 0.8347, 0.6694], q:[0.6653, 0.5], qb:[0.5, 0.6653], phi:[0.4174]] | t^2.01 + 5*t^2.5 + t^3. + t^4.02 + 3*t^4.25 + 5*t^4.51 + 4*t^4.75 + 16*t^5.01 + 3*t^5.24 + t^5.5 - 7*t^6. - t^4.25/y - t^4.25*y | detail |