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 |
|---|---|---|---|---|---|---|---|---|---|
| 3618 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6079 | 0.7775 | 0.7818 | [X:[], M:[1.0001, 0.7142, 0.9999, 0.7143, 1.2857, 0.8571, 0.8573], q:[0.6428, 0.3571], qb:[0.3572, 0.9286], phi:[0.4286]] | [X:[], M:[[14], [-22], [-14], [6], [-6], [-4], [24]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_7$, $ M_3$, $ M_1$, $ \phi_1\tilde{q}_1^2$, $ M_5$, $ M_2^2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_4M_6$, $ M_2M_7$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_4M_7$, $ M_2M_3$, $ M_1M_2$, $ M_3M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_6M_7$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_1M_6$, $ M_3M_7$, $ M_1\phi_1^2$, $ M_1M_7$, $ M_4\phi_1\tilde{q}_1^2$ | $M_1^2$, $ M_3^2$, $ M_2M_5$, $ M_6\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$ | 3 | 2*t^2.14 + 3*t^2.57 + 2*t^3. + t^3.43 + t^3.86 + t^4.28 + 2*t^4.29 + 7*t^4.71 + 10*t^5.14 + 6*t^5.57 + 3*t^6. + 5*t^6.43 + 7*t^6.86 + t^7.28 + 15*t^7.29 + 15*t^7.71 + 5*t^7.72 + 8*t^8.14 + 3*t^8.57 - t^4.29/y - t^6.43/y - (3*t^6.86)/y + t^7.29/y + (9*t^7.71)/y + (8*t^8.14)/y + (7*t^8.57)/y - t^4.29*y - t^6.43*y - 3*t^6.86*y + t^7.29*y + 9*t^7.71*y + 8*t^8.14*y + 7*t^8.57*y | t^2.14/g1^22 + g1^6*t^2.14 + (2*t^2.57)/g1^4 + g1^24*t^2.57 + t^3./g1^14 + g1^14*t^3. + g1^32*t^3.43 + t^3.86/g1^6 + t^4.28/g1^44 + t^4.29/g1^16 + g1^12*t^4.29 + (2*t^4.71)/g1^26 + 4*g1^2*t^4.71 + g1^30*t^4.71 + t^5.14/g1^36 + (5*t^5.14)/g1^8 + 3*g1^20*t^5.14 + g1^48*t^5.14 + t^5.57/g1^18 + 3*g1^10*t^5.57 + 2*g1^38*t^5.57 - t^6. + t^6./g1^28 + 2*g1^28*t^6. + g1^56*t^6. + t^6.43/g1^66 + t^6.43/g1^38 + t^6.43/g1^10 + g1^18*t^6.43 + g1^46*t^6.43 + (2*t^6.86)/g1^48 + (3*t^6.86)/g1^20 + g1^8*t^6.86 + g1^64*t^6.86 + t^7.28/g1^58 + (4*t^7.29)/g1^30 + (6*t^7.29)/g1^2 + 4*g1^26*t^7.29 + g1^54*t^7.29 + t^7.71/g1^40 + (8*t^7.71)/g1^12 + 6*g1^16*t^7.71 + 4*g1^44*t^7.72 + g1^72*t^7.72 + t^8.14/g1^50 - t^8.14/g1^22 + g1^6*t^8.14 + 5*g1^34*t^8.14 + 2*g1^62*t^8.14 + t^8.57/g1^88 + t^8.57/g1^60 - (4*t^8.57)/g1^4 + g1^24*t^8.57 + 3*g1^52*t^8.57 + g1^80*t^8.57 - t^4.29/(g1^2*y) - t^6.43/(g1^24*y) - (2*t^6.86)/(g1^6*y) - (g1^22*t^6.86)/y + t^7.29/(g1^16*y) + (3*t^7.71)/(g1^26*y) + (5*g1^2*t^7.71)/y + (g1^30*t^7.71)/y + t^8.14/(g1^36*y) + (3*t^8.14)/(g1^8*y) + (4*g1^20*t^8.14)/y - t^8.57/(g1^46*y) + (2*t^8.57)/(g1^18*y) + (4*g1^10*t^8.57)/y + (2*g1^38*t^8.57)/y - (t^4.29*y)/g1^2 - (t^6.43*y)/g1^24 - (2*t^6.86*y)/g1^6 - g1^22*t^6.86*y + (t^7.29*y)/g1^16 + (3*t^7.71*y)/g1^26 + 5*g1^2*t^7.71*y + g1^30*t^7.71*y + (t^8.14*y)/g1^36 + (3*t^8.14*y)/g1^8 + 4*g1^20*t^8.14*y - (t^8.57*y)/g1^46 + (2*t^8.57*y)/g1^18 + 4*g1^10*t^8.57*y + 2*g1^38*t^8.57*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 |
|---|---|---|---|---|---|---|---|---|
| 5321 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6224 | 0.8033 | 0.7748 | [X:[], M:[1.0219, 0.6799, 0.9781, 0.7237, 1.2763, 0.8509, 0.8947, 0.8071], q:[0.6382, 0.3399], qb:[0.3837, 0.9364], phi:[0.4254]] | t^2.04 + t^2.17 + t^2.42 + 2*t^2.55 + t^2.68 + t^2.93 + t^3.07 + t^3.83 + t^4.08 + t^4.21 + t^4.34 + t^4.46 + 3*t^4.59 + 4*t^4.72 + t^4.84 + t^4.86 + 3*t^4.97 + 6*t^5.11 + 3*t^5.24 + t^5.36 + t^5.37 + 2*t^5.49 + 2*t^5.62 + t^5.75 + t^5.87 - t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2994 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.5968 | 0.7591 | 0.7862 | [X:[], M:[1.0223, 0.6793, 0.9777, 0.7238, 1.2762, 0.8508], q:[0.6381, 0.3396], qb:[0.3842, 0.9365], phi:[0.4254]] | t^2.04 + t^2.17 + 2*t^2.55 + t^2.93 + t^3.07 + t^3.31 + t^3.58 + t^3.83 + t^4.08 + t^4.21 + t^4.34 + 2*t^4.59 + 3*t^4.72 + t^4.97 + 5*t^5.1 + t^5.24 + t^5.35 + 2*t^5.49 + 2*t^5.62 + t^5.75 + 3*t^5.87 - t^6. - t^4.28/y - t^4.28*y | detail |