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 |
|---|---|---|---|---|---|---|---|---|---|
| 4412 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ + $ \phi_1q_1^2$ + $ M_6M_8$ | 0.6327 | 0.7835 | 0.8075 | [X:[], M:[0.8894, 1.0481, 1.0144, 0.7933, 1.1106, 1.2067, 1.1106, 0.7933], q:[0.762, 0.3486], qb:[0.4447, 0.5408], phi:[0.476]] | [X:[], M:[[14], [12], [-38], [-10], [-14], [10], [-14], [-10]], q:[[3], [-17]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_8$, $ M_3$, $ M_2$, $ M_5$, $ M_7$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ \phi_1q_1q_2$, $ M_3M_4$, $ M_3M_8$, $ M_2M_4$, $ M_2M_8$, $ M_4M_5$, $ M_4M_7$, $ M_5M_8$, $ M_7M_8$, $ M_4\phi_1q_2^2$, $ M_8\phi_1q_2^2$ | . | -3 | 2*t^2.38 + t^3.04 + t^3.14 + 2*t^3.33 + t^3.52 + t^3.81 + t^3.91 + 2*t^4.1 + t^4.38 + t^4.67 + 3*t^4.76 + t^5.42 + 2*t^5.52 + 2*t^5.71 + 2*t^5.9 - 3*t^6. + t^6.09 + 2*t^6.19 + 2*t^6.38 + 4*t^6.48 + t^6.56 - t^6.58 + 2*t^6.66 + 2*t^6.85 + t^7.04 + 2*t^7.05 + 5*t^7.14 + t^7.24 + t^7.33 + 2*t^7.43 + 2*t^7.62 + t^7.8 + t^7.82 + 4*t^7.9 + t^8. + 2*t^8.09 + 2*t^8.19 + 3*t^8.28 - 6*t^8.38 + t^8.47 + t^8.48 + 2*t^8.57 + t^8.58 - t^8.67 + t^8.75 + 2*t^8.77 + 4*t^8.86 + t^8.94 - 2*t^8.96 - t^4.43/y - t^6.81/y + t^7.1/y + t^7.38/y - t^7.47/y + t^8.05/y + (2*t^8.42)/y + (2*t^8.52)/y + (4*t^8.71)/y + (2*t^8.9)/y - t^4.43*y - t^6.81*y + t^7.1*y + t^7.38*y - t^7.47*y + t^8.05*y + 2*t^8.42*y + 2*t^8.52*y + 4*t^8.71*y + 2*t^8.9*y | (2*t^2.38)/g1^10 + t^3.04/g1^38 + g1^12*t^3.14 + (2*t^3.33)/g1^14 + t^3.52/g1^40 + t^3.81/g1^16 + g1^34*t^3.91 + 2*g1^8*t^4.1 + g1^32*t^4.38 + g1^56*t^4.67 + (3*t^4.76)/g1^20 + t^5.42/g1^48 + 2*g1^2*t^5.52 + (2*t^5.71)/g1^24 + (2*t^5.9)/g1^50 - 3*t^6. + t^6.09/g1^76 + (2*t^6.19)/g1^26 + (2*t^6.38)/g1^52 + (4*t^6.48)/g1^2 + t^6.56/g1^78 - g1^48*t^6.58 + (2*t^6.66)/g1^28 + (2*t^6.85)/g1^54 + t^7.04/g1^80 + 2*g1^46*t^7.05 + (5*t^7.14)/g1^30 + g1^20*t^7.24 + t^7.33/g1^56 + (2*t^7.43)/g1^6 + (2*t^7.62)/g1^32 + t^7.8/g1^58 + g1^68*t^7.82 + (4*t^7.9)/g1^8 + g1^42*t^8. + (2*t^8.09)/g1^34 + 2*g1^16*t^8.19 + (3*t^8.28)/g1^60 - (6*t^8.38)/g1^10 + t^8.47/g1^86 + g1^40*t^8.48 + (2*t^8.57)/g1^36 + g1^90*t^8.58 - g1^14*t^8.67 + t^8.75/g1^62 + 2*g1^64*t^8.77 + (4*t^8.86)/g1^12 + t^8.94/g1^88 - 2*g1^38*t^8.96 - t^4.43/(g1^6*y) - t^6.81/(g1^16*y) + (g1^8*t^7.1)/y + (g1^32*t^7.38)/y - t^7.47/(g1^44*y) + (g1^4*t^8.05)/y + (2*t^8.42)/(g1^48*y) + (2*g1^2*t^8.52)/y + (4*t^8.71)/(g1^24*y) + (2*t^8.9)/(g1^50*y) - (t^4.43*y)/g1^6 - (t^6.81*y)/g1^16 + g1^8*t^7.1*y + g1^32*t^7.38*y - (t^7.47*y)/g1^44 + g1^4*t^8.05*y + (2*t^8.42*y)/g1^48 + 2*g1^2*t^8.52*y + (4*t^8.71*y)/g1^24 + (2*t^8.9*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5921 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ + $ \phi_1q_1^2$ + $ M_6M_8$ + $ M_9\phi_1q_2^2$ | 0.6488 | 0.8117 | 0.7993 | [X:[], M:[0.8756, 1.0363, 1.0518, 0.8031, 1.1244, 1.1969, 1.1244, 0.8031, 0.7876], q:[0.7591, 0.3653], qb:[0.4378, 0.5104], phi:[0.4819]] | t^2.36 + 2*t^2.41 + t^3.11 + t^3.16 + 2*t^3.37 + t^3.81 + t^3.85 + 2*t^4.07 + t^4.29 + t^4.51 + t^4.73 + 2*t^4.77 + 3*t^4.82 + t^5.47 + 3*t^5.52 + t^5.56 + 2*t^5.74 + 2*t^5.78 - 3*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2389 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ + $ \phi_1q_1^2$ | 0.6159 | 0.7536 | 0.8172 | [X:[], M:[0.8858, 1.045, 1.0243, 0.7959, 1.1142, 1.2041, 1.1142], q:[0.7612, 0.353], qb:[0.4429, 0.5328], phi:[0.4775]] | t^2.39 + t^3.07 + t^3.13 + 2*t^3.34 + t^3.55 + t^3.61 + t^3.82 + t^3.88 + 2*t^4.09 + t^4.36 + t^4.63 + t^4.78 + t^5.52 + t^5.94 - 2*t^6. - t^4.43/y - t^4.43*y | detail |