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 |
|---|---|---|---|---|---|---|---|---|---|
| 1210 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6635 | 0.8374 | 0.7923 | [X:[], M:[1.1924, 0.7824, 0.8076, 0.8076, 0.8201, 0.795], q:[0.8013, 0.4164], qb:[0.3912, 0.8013], phi:[0.3975]] | [X:[], M:[[-6], [-14], [6], [6], [16], [-4]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_5$, $ M_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_3M_6$, $ M_4M_6$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_5M_6$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$ | $\phi_1\tilde{q}_2^2$ | 0 | t^2.35 + 2*t^2.38 + 2*t^2.42 + t^2.46 + t^3.58 + t^3.65 + t^3.69 + t^4.69 + 2*t^4.73 + 5*t^4.77 + 6*t^4.81 + 5*t^4.85 + 2*t^4.88 + t^4.92 + 2*t^6.04 + 3*t^6.08 + 3*t^6.11 + t^6.15 + t^7.04 + 2*t^7.08 + 4*t^7.12 + 8*t^7.15 + 9*t^7.19 + 9*t^7.23 + 8*t^7.27 + 5*t^7.31 + 3*t^7.34 + 2*t^7.38 - 2*t^8.31 - 4*t^8.35 - 5*t^8.38 - 3*t^8.42 + 2*t^8.46 + 7*t^8.5 + 6*t^8.54 + 3*t^8.57 + t^8.61 - t^4.19/y - t^6.54/y - (2*t^6.58)/y - t^6.62/y - t^6.65/y + (3*t^7.73)/y + (4*t^7.77)/y + (7*t^7.81)/y + (4*t^7.85)/y + (2*t^7.88)/y - t^8.89/y - t^8.92/y - (2*t^8.96)/y - t^4.19*y - t^6.54*y - 2*t^6.58*y - t^6.62*y - t^6.65*y + 3*t^7.73*y + 4*t^7.77*y + 7*t^7.81*y + 4*t^7.85*y + 2*t^7.88*y - t^8.89*y - t^8.92*y - 2*t^8.96*y | t^2.35/g1^14 + (2*t^2.38)/g1^4 + 2*g1^6*t^2.42 + g1^16*t^2.46 + t^3.58/g1^6 + g1^14*t^3.65 + g1^24*t^3.69 + t^4.69/g1^28 + (2*t^4.73)/g1^18 + (5*t^4.77)/g1^8 + 6*g1^2*t^4.81 + 5*g1^12*t^4.85 + 2*g1^22*t^4.88 + g1^32*t^4.92 + 2*g1^10*t^6.04 + 3*g1^20*t^6.08 + 3*g1^30*t^6.11 + g1^40*t^6.15 + t^7.04/g1^42 + (2*t^7.08)/g1^32 + (4*t^7.12)/g1^22 + (8*t^7.15)/g1^12 + (9*t^7.19)/g1^2 + 9*g1^8*t^7.23 + 8*g1^18*t^7.27 + 5*g1^28*t^7.31 + 3*g1^38*t^7.34 + 2*g1^48*t^7.38 - (2*t^8.31)/g1^24 - (4*t^8.35)/g1^14 - (5*t^8.38)/g1^4 - 3*g1^6*t^8.42 + 2*g1^16*t^8.46 + 7*g1^26*t^8.5 + 6*g1^36*t^8.54 + 3*g1^46*t^8.57 + g1^56*t^8.61 - t^4.19/(g1^2*y) - t^6.54/(g1^16*y) - (2*t^6.58)/(g1^6*y) - (g1^4*t^6.62)/y - (g1^14*t^6.65)/y + (3*t^7.73)/(g1^18*y) + (4*t^7.77)/(g1^8*y) + (7*g1^2*t^7.81)/y + (4*g1^12*t^7.85)/y + (2*g1^22*t^7.88)/y - t^8.89/(g1^30*y) - t^8.92/(g1^20*y) - (2*t^8.96)/(g1^10*y) - (t^4.19*y)/g1^2 - (t^6.54*y)/g1^16 - (2*t^6.58*y)/g1^6 - g1^4*t^6.62*y - g1^14*t^6.65*y + (3*t^7.73*y)/g1^18 + (4*t^7.77*y)/g1^8 + 7*g1^2*t^7.81*y + 4*g1^12*t^7.85*y + 2*g1^22*t^7.88*y - (t^8.89*y)/g1^30 - (t^8.92*y)/g1^20 - (2*t^8.96*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2244 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_2M_7$ | 0.6465 | 0.8092 | 0.799 | [X:[], M:[1.2006, 0.8015, 0.7994, 0.7994, 0.7983, 0.8004, 1.1985], q:[0.7999, 0.3986], qb:[0.4008, 0.7999], phi:[0.4002]] | t^2.39 + 4*t^2.4 + t^3.59 + 3*t^3.6 + 3*t^4.79 + 13*t^4.8 + 10*t^5.99 + 2*t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 737 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6467 | 0.8082 | 0.8002 | [X:[], M:[1.1947, 0.7877, 0.8053, 0.8053, 0.814], q:[0.8009, 0.4114], qb:[0.3939, 0.8009], phi:[0.3982]] | t^2.36 + t^2.39 + 2*t^2.42 + t^2.44 + t^3.58 + t^3.61 + t^3.64 + t^3.66 + t^4.73 + t^4.75 + 3*t^4.78 + 4*t^4.81 + 4*t^4.83 + 2*t^4.86 + t^4.88 + t^6. - t^4.19/y - t^4.19*y | detail |