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 |
|---|---|---|---|---|---|---|---|---|---|
| 436 | 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_2^2$ | 0.691 | 0.8427 | 0.8199 | [X:[], M:[1.0, 1.0, 1.0, 0.7143], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | [X:[], M:[[1], [0], [-1], [0]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 237/343, c: 4625/5488, M1: 1, M2: 1, M3: 1, M4: 5/7, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ M_3$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \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$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_2M_4$, $ M_3M_4$, $ \phi_1^4$, $ M_3M_4$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_3\phi_1^2$, $ M_1\phi_1^2$ | $M_1^2$, $ M_1M_2$, $ M_2M_3$, $ M_3^2$, $ M_4q_1q_2$, $ M_4q_1\tilde{q}_2$ | -1 | t^2.14 + t^2.57 + 3*t^3. + 2*t^3.86 + 7*t^4.29 + t^4.71 + 4*t^5.14 + 3*t^5.57 - t^6. + 6*t^6.43 + 9*t^6.86 + 11*t^7.29 + t^7.71 + 6*t^8.14 + 15*t^8.57 - t^4.29/y - t^6.43/y - t^6.86/y + (2*t^7.71)/y + (4*t^8.14)/y + (2*t^8.57)/y - t^4.29*y - t^6.43*y - t^6.86*y + 2*t^7.71*y + 4*t^8.14*y + 2*t^8.57*y | t^2.14 + t^2.57 + t^3. + t^3./g1 + g1*t^3. + t^3.86/g1 + g1*t^3.86 + 3*t^4.29 + t^4.29/g1^2 + t^4.29/g1 + g1*t^4.29 + g1^2*t^4.29 + t^4.71 + 2*t^5.14 + t^5.14/g1 + g1*t^5.14 + t^5.57 + t^5.57/g1 + g1*t^5.57 - t^6. + 2*t^6.43 + t^6.43/g1^2 + t^6.43/g1 + g1*t^6.43 + g1^2*t^6.43 + 3*t^6.86 + (2*t^6.86)/g1^2 + t^6.86/g1 + g1*t^6.86 + 2*g1^2*t^6.86 + 3*t^7.29 + t^7.29/g1^3 + t^7.29/g1^2 + (2*t^7.29)/g1 + 2*g1*t^7.29 + g1^2*t^7.29 + g1^3*t^7.29 + t^7.71 + t^8.14/g1^3 + (2*t^8.14)/g1 + 2*g1*t^8.14 + g1^3*t^8.14 + 3*t^8.57 + t^8.57/g1^4 + t^8.57/g1^3 + (3*t^8.57)/g1^2 + t^8.57/g1 + g1*t^8.57 + 3*g1^2*t^8.57 + g1^3*t^8.57 + g1^4*t^8.57 - t^4.29/y - t^6.43/y - t^6.86/y + (2*t^7.71)/y + (2*t^8.14)/y + t^8.14/(g1*y) + (g1*t^8.14)/y + t^8.57/(g1*y) + (g1*t^8.57)/y - t^4.29*y - t^6.43*y - t^6.86*y + 2*t^7.71*y + 2*t^8.14*y + (t^8.14*y)/g1 + g1*t^8.14*y + (t^8.57*y)/g1 + g1*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 |
|---|---|---|---|---|---|---|---|---|
| 729 | $\phi_1q_1^2$ + $ 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_2^2$ + $ M_1M_5$ | 0.6923 | 0.8458 | 0.8185 | [X:[], M:[1.0276, 1.0, 0.9724, 0.7143, 0.9724], q:[0.7857, 0.4724], qb:[0.5, 0.5276], phi:[0.4286]] | t^2.14 + t^2.57 + 2*t^2.92 + t^3. + t^3.77 + t^3.94 + t^4.12 + t^4.2 + 3*t^4.29 + t^4.37 + t^4.45 + t^4.71 + 2*t^5.06 + 2*t^5.14 + 2*t^5.49 + t^5.57 + 2*t^5.83 + t^5.92 - 2*t^6. - t^4.29/y - t^4.29*y | detail | |
| 728 | $\phi_1q_1^2$ + $ 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_2^2$ + $ M_5q_1q_2$ | 0.7113 | 0.8813 | 0.8071 | [X:[], M:[0.9936, 1.0, 1.0064, 0.7143, 0.7078], q:[0.7857, 0.5064], qb:[0.5, 0.4936], phi:[0.4286]] | t^2.12 + t^2.14 + t^2.57 + t^2.98 + t^3. + t^3.02 + t^3.84 + 2*t^4.25 + 2*t^4.27 + 3*t^4.29 + t^4.31 + t^4.32 + t^4.69 + t^4.71 + t^5.1 + 2*t^5.12 + 3*t^5.14 + t^5.16 + t^5.55 + t^5.57 + t^5.59 + t^5.96 - t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 269 | 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$ | 0.6955 | 0.8466 | 0.8215 | [X:[], M:[1.0, 0.9217, 1.0, 0.7479], q:[0.7913, 0.5392], qb:[0.4608, 0.5392], phi:[0.4174]] | t^2.24 + t^2.5 + t^2.76 + 2*t^3. + 2*t^3.99 + t^4.02 + 2*t^4.25 + 4*t^4.49 + t^4.75 + 2*t^5.01 + 2*t^5.24 + t^5.27 + 2*t^5.5 + t^5.53 - 2*t^6. - t^4.25/y - t^4.25*y | detail |