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 |
|---|---|---|---|---|---|---|---|---|---|
| 55035 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6283 | 0.8228 | 0.7636 | [X:[], M:[0.9544, 0.8632, 1.0456, 0.7052, 0.7964, 1.1368], q:[0.7386, 0.307], qb:[0.3982, 0.465], phi:[0.5228]] | [X:[], M:[[4], [12], [-4], [-18], [-26], [-12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_5$, $ M_2$, $ M_3$, $ \phi_1^2$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_5^2$, $ M_2q_2\tilde{q}_2$, $ M_2M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_5$, $ M_4M_6$, $ M_5\phi_1^2$, $ M_6q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_3$, $ M_2\phi_1^2$, $ M_6q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_5M_6$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_1^2$ | $M_2M_6$ | -1 | 2*t^2.12 + t^2.32 + t^2.39 + t^2.59 + 2*t^3.14 + 2*t^3.41 + t^3.68 + t^3.96 + t^4.16 + 3*t^4.23 + t^4.36 + 2*t^4.43 + 2*t^4.5 + t^4.63 + 3*t^4.71 + t^4.78 + t^4.91 + t^4.98 + t^5.18 + 4*t^5.25 + 2*t^5.45 + 5*t^5.53 + 2*t^5.73 + 3*t^5.8 - t^6. + 3*t^6.07 - t^6.2 + 3*t^6.27 + 5*t^6.35 + t^6.47 + 7*t^6.55 + 3*t^6.62 + t^6.67 + 2*t^6.75 + 7*t^6.82 + 2*t^6.89 + 2*t^6.95 + 5*t^7.09 + t^7.17 + t^7.29 + 8*t^7.37 + 2*t^7.5 + 2*t^7.57 + 9*t^7.64 + 2*t^7.77 + 3*t^7.84 + 7*t^7.92 - t^8.12 + 6*t^8.19 - 2*t^8.32 + 3*t^8.39 + 8*t^8.46 - t^8.59 + 11*t^8.66 + t^8.72 + 5*t^8.74 + 2*t^8.86 + 12*t^8.94 + t^8.99 - t^4.57/y - t^6.68/y - t^6.96/y + t^7.23/y + (3*t^7.43)/y + (2*t^7.5)/y + (2*t^7.71)/y + t^7.91/y + t^7.98/y + t^8.18/y + (4*t^8.25)/y + (3*t^8.45)/y + (6*t^8.53)/y + (4*t^8.73)/y + (3*t^8.8)/y - t^4.57*y - t^6.68*y - t^6.96*y + t^7.23*y + 3*t^7.43*y + 2*t^7.5*y + 2*t^7.71*y + t^7.91*y + t^7.98*y + t^8.18*y + 4*t^8.25*y + 3*t^8.45*y + 6*t^8.53*y + 4*t^8.73*y + 3*t^8.8*y | (2*t^2.12)/g1^18 + g1^20*t^2.32 + t^2.39/g1^26 + g1^12*t^2.59 + (2*t^3.14)/g1^4 + (2*t^3.41)/g1^12 + t^3.68/g1^20 + t^3.96/g1^28 + g1^10*t^4.16 + (3*t^4.23)/g1^36 + g1^48*t^4.36 + 2*g1^2*t^4.43 + (2*t^4.5)/g1^44 + g1^40*t^4.63 + (3*t^4.71)/g1^6 + t^4.78/g1^52 + g1^32*t^4.91 + t^4.98/g1^14 + g1^24*t^5.18 + (4*t^5.25)/g1^22 + 2*g1^16*t^5.45 + (5*t^5.53)/g1^30 + 2*g1^8*t^5.73 + (3*t^5.8)/g1^38 - t^6. + (3*t^6.07)/g1^46 - g1^38*t^6.2 + (3*t^6.27)/g1^8 + (5*t^6.35)/g1^54 + g1^30*t^6.47 + (7*t^6.55)/g1^16 + (3*t^6.62)/g1^62 + g1^68*t^6.67 + 2*g1^22*t^6.75 + (7*t^6.82)/g1^24 + (2*t^6.89)/g1^70 + 2*g1^60*t^6.95 + (5*t^7.09)/g1^32 + t^7.17/g1^78 + g1^6*t^7.29 + (8*t^7.37)/g1^40 + 2*g1^44*t^7.5 + (2*t^7.57)/g1^2 + (9*t^7.64)/g1^48 + 2*g1^36*t^7.77 + (3*t^7.84)/g1^10 + (7*t^7.92)/g1^56 - t^8.12/g1^18 + (6*t^8.19)/g1^64 - 2*g1^20*t^8.32 + (3*t^8.39)/g1^26 + (8*t^8.46)/g1^72 - g1^12*t^8.59 + (11*t^8.66)/g1^34 + g1^96*t^8.72 + (5*t^8.74)/g1^80 + 2*g1^4*t^8.86 + (12*t^8.94)/g1^42 + g1^88*t^8.99 - t^4.57/(g1^2*y) - t^6.68/(g1^20*y) - t^6.96/(g1^28*y) + t^7.23/(g1^36*y) + (3*g1^2*t^7.43)/y + (2*t^7.5)/(g1^44*y) + (2*t^7.71)/(g1^6*y) + (g1^32*t^7.91)/y + t^7.98/(g1^14*y) + (g1^24*t^8.18)/y + (4*t^8.25)/(g1^22*y) + (3*g1^16*t^8.45)/y + (6*t^8.53)/(g1^30*y) + (4*g1^8*t^8.73)/y + (3*t^8.8)/(g1^38*y) - (t^4.57*y)/g1^2 - (t^6.68*y)/g1^20 - (t^6.96*y)/g1^28 + (t^7.23*y)/g1^36 + 3*g1^2*t^7.43*y + (2*t^7.5*y)/g1^44 + (2*t^7.71*y)/g1^6 + g1^32*t^7.91*y + (t^7.98*y)/g1^14 + g1^24*t^8.18*y + (4*t^8.25*y)/g1^22 + 3*g1^16*t^8.45*y + (6*t^8.53*y)/g1^30 + 4*g1^8*t^8.73*y + (3*t^8.8*y)/g1^38 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56627 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6466 | 0.8549 | 0.7563 | [X:[], M:[0.9525, 0.8575, 1.0475, 0.7138, 0.8088, 1.1425, 0.7625], q:[0.7381, 0.3094], qb:[0.4044, 0.4531], phi:[0.5238]] | 2*t^2.14 + 2*t^2.29 + t^2.43 + t^2.57 + 2*t^3.14 + 2*t^3.43 + t^4. + t^4.14 + 3*t^4.28 + t^4.29 + 4*t^4.43 + 5*t^4.57 + 4*t^4.71 + t^4.85 + 2*t^4.86 + t^5. + t^5.14 + 4*t^5.28 + 4*t^5.43 + 5*t^5.57 + 4*t^5.71 + t^5.85 - 2*t^6. - t^4.57/y - t^4.57*y | detail | |
| 56628 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6491 | 0.8635 | 0.7517 | [X:[], M:[0.954, 0.8621, 1.046, 0.7069, 0.7988, 1.1379, 0.6782], q:[0.7385, 0.3075], qb:[0.3994, 0.4627], phi:[0.523]] | t^2.03 + 2*t^2.12 + t^2.31 + t^2.4 + t^2.59 + 2*t^3.14 + 2*t^3.41 + t^3.69 + t^4.07 + 3*t^4.16 + 3*t^4.24 + 2*t^4.35 + 3*t^4.43 + 2*t^4.52 + 2*t^4.62 + 3*t^4.71 + t^4.79 + t^4.9 + t^4.98 + 3*t^5.17 + 4*t^5.26 + 4*t^5.45 + 5*t^5.53 + 3*t^5.72 + 3*t^5.81 - t^6. - t^4.57/y - t^4.57*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47100 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.6406 | 0.843 | 0.7599 | [X:[], M:[0.9525, 0.8575, 1.0475, 0.7138, 0.8088], q:[0.7381, 0.3094], qb:[0.4044, 0.4531], phi:[0.5238]] | 2*t^2.14 + t^2.29 + t^2.43 + 2*t^2.57 + 2*t^3.14 + t^3.43 + t^3.71 + t^4. + t^4.14 + 3*t^4.28 + t^4.29 + 2*t^4.43 + 3*t^4.57 + 5*t^4.71 + t^4.85 + 2*t^4.86 + 2*t^5. + 3*t^5.14 + 4*t^5.28 + 2*t^5.43 + 3*t^5.57 + 3*t^5.71 + 2*t^5.85 - t^6. - t^4.57/y - t^4.57*y | detail |