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 |
|---|---|---|---|---|---|---|---|---|---|
| 2916 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.6254 | 0.8161 | 0.7663 | [X:[], M:[0.9488, 1.1536, 1.0512, 0.8464, 0.7304, 0.8464], q:[0.7372, 0.314], qb:[0.43, 0.4164], phi:[0.5256]] | [X:[], M:[[-4], [12], [4], [-12], [18], [-12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_4$, $ M_6$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_4M_5$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_3M_4$, $ M_3M_6$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_5\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$ | -1 | 2*t^2.19 + t^2.23 + 2*t^2.54 + 2*t^3.15 + t^3.46 + t^3.5 + t^3.77 + t^4.08 + t^4.12 + t^4.16 + 3*t^4.38 + 2*t^4.42 + t^4.46 + 4*t^4.73 + 2*t^4.77 + 3*t^5.08 + 4*t^5.34 + 2*t^5.39 + t^5.65 + 5*t^5.69 + t^5.73 + t^5.96 - t^6. + t^6.04 + 2*t^6.27 + 4*t^6.31 + t^6.35 + t^6.39 + 4*t^6.57 + 5*t^6.61 + 4*t^6.66 + 3*t^6.7 + 6*t^6.92 + 2*t^6.96 + 2*t^7. + t^7.23 + 5*t^7.27 + 4*t^7.31 + 6*t^7.54 + t^7.58 + 5*t^7.62 + t^7.66 + 2*t^7.84 + 6*t^7.88 + 3*t^7.92 + t^7.97 + 2*t^8.15 - 4*t^8.19 + 4*t^8.23 + 2*t^8.27 + t^8.31 + 3*t^8.46 + 5*t^8.5 - 2*t^8.54 + 2*t^8.58 + t^8.62 + 5*t^8.76 + 6*t^8.81 + 7*t^8.85 + 4*t^8.89 + 3*t^8.93 - t^4.58/y - t^6.77/y - t^7.12/y + t^7.38/y + (3*t^7.42)/y + (3*t^7.73)/y + (2*t^7.77)/y + t^8.04/y + t^8.08/y + (4*t^8.34)/y + (3*t^8.39)/y + (2*t^8.65)/y + (7*t^8.69)/y + t^8.73/y + t^8.96/y - t^4.58*y - t^6.77*y - t^7.12*y + t^7.38*y + 3*t^7.42*y + 3*t^7.73*y + 2*t^7.77*y + t^8.04*y + t^8.08*y + 4*t^8.34*y + 3*t^8.39*y + 2*t^8.65*y + 7*t^8.69*y + t^8.73*y + t^8.96*y | 2*g1^18*t^2.19 + t^2.23/g1^20 + (2*t^2.54)/g1^12 + 2*g1^4*t^3.15 + g1^12*t^3.46 + t^3.5/g1^26 + g1^20*t^3.77 + g1^28*t^4.08 + t^4.12/g1^10 + t^4.16/g1^48 + 3*g1^36*t^4.38 + (2*t^4.42)/g1^2 + t^4.46/g1^40 + 4*g1^6*t^4.73 + (2*t^4.77)/g1^32 + (3*t^5.08)/g1^24 + 4*g1^22*t^5.34 + (2*t^5.39)/g1^16 + g1^30*t^5.65 + (5*t^5.69)/g1^8 + t^5.73/g1^46 + g1^38*t^5.96 - t^6. + t^6.04/g1^38 + 2*g1^46*t^6.27 + 4*g1^8*t^6.31 + t^6.35/g1^30 + t^6.39/g1^68 + 4*g1^54*t^6.57 + 5*g1^16*t^6.61 + (4*t^6.66)/g1^22 + (3*t^6.7)/g1^60 + 6*g1^24*t^6.92 + (2*t^6.96)/g1^14 + (2*t^7.)/g1^52 + g1^32*t^7.23 + (5*t^7.27)/g1^6 + (4*t^7.31)/g1^44 + 6*g1^40*t^7.54 + g1^2*t^7.58 + (5*t^7.62)/g1^36 + t^7.66/g1^74 + 2*g1^48*t^7.84 + 6*g1^10*t^7.88 + (3*t^7.92)/g1^28 + t^7.97/g1^66 + 2*g1^56*t^8.15 - 4*g1^18*t^8.19 + (4*t^8.23)/g1^20 + (2*t^8.27)/g1^58 + t^8.31/g1^96 + 3*g1^64*t^8.46 + 5*g1^26*t^8.5 - (2*t^8.54)/g1^12 + (2*t^8.58)/g1^50 + t^8.62/g1^88 + 5*g1^72*t^8.76 + 6*g1^34*t^8.81 + (7*t^8.85)/g1^4 + (4*t^8.89)/g1^42 + (3*t^8.93)/g1^80 - (g1^2*t^4.58)/y - (g1^20*t^6.77)/y - t^7.12/(g1^10*y) + (g1^36*t^7.38)/y + (3*t^7.42)/(g1^2*y) + (3*g1^6*t^7.73)/y + (2*t^7.77)/(g1^32*y) + (g1^14*t^8.04)/y + t^8.08/(g1^24*y) + (4*g1^22*t^8.34)/y + (3*t^8.39)/(g1^16*y) + (2*g1^30*t^8.65)/y + (7*t^8.69)/(g1^8*y) + t^8.73/(g1^46*y) + (g1^38*t^8.96)/y - g1^2*t^4.58*y - g1^20*t^6.77*y - (t^7.12*y)/g1^10 + g1^36*t^7.38*y + (3*t^7.42*y)/g1^2 + 3*g1^6*t^7.73*y + (2*t^7.77*y)/g1^32 + g1^14*t^8.04*y + (t^8.08*y)/g1^24 + 4*g1^22*t^8.34*y + (3*t^8.39*y)/g1^16 + 2*g1^30*t^8.65*y + (7*t^8.69*y)/g1^8 + (t^8.73*y)/g1^46 + g1^38*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 3501 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ | 0.6406 | 0.843 | 0.7599 | [X:[], M:[0.9525, 1.1425, 1.0475, 0.8575, 0.7138, 0.8575, 0.8088], q:[0.7381, 0.3094], qb:[0.4531, 0.4044], 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1893 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6295 | 0.8188 | 0.7688 | [X:[], M:[0.9716, 1.0851, 1.0284, 0.9149, 0.7478, 0.7947], q:[0.7429, 0.2855], qb:[0.4525, 0.4624], phi:[0.5142]] | t^2.21 + 2*t^2.24 + t^2.38 + t^2.74 + 2*t^3.09 + t^3.26 + t^3.59 + t^3.79 + t^4.26 + t^4.29 + t^4.32 + t^4.43 + 2*t^4.46 + 3*t^4.49 + t^4.6 + 2*t^4.63 + t^4.77 + t^4.96 + 2*t^4.99 + t^5.13 + 2*t^5.3 + 4*t^5.33 + 2*t^5.47 + t^5.49 + t^5.5 + t^5.64 + t^5.8 + 3*t^5.83 - 2*t^6. - t^4.54/y - t^4.54*y | detail |