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 |
|---|---|---|---|---|---|---|---|---|---|
| 493 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_3$ + $ M_4q_2\tilde{q}_1$ + $ M_1M_5$ | 0.7247 | 0.8687 | 0.8342 | [X:[], M:[0.8416, 1.1584, 0.8416, 0.7995, 1.1584], q:[0.5581, 0.6003], qb:[0.6003, 0.5581], phi:[0.4208]] | [X:[], M:[[-2, -2], [2, 2], [-2, -2], [-4, 0], [2, 2]], q:[[0, 2], [2, 0]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ q_1\tilde{q}_2$, $ M_2$, $ M_5$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_3^2$, $ M_4q_1\tilde{q}_2$, $ M_2M_4$, $ M_4M_5$, $ M_3q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$ | $M_3M_5$, $ M_3q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$ | -4 | t^2.4 + t^2.52 + t^3.35 + 4*t^3.48 + 3*t^4.61 + 4*t^4.74 + t^4.8 + 3*t^4.86 + t^4.92 + t^5.05 + t^5.75 + t^5.87 - 4*t^6. - 4*t^6.13 + t^6.7 + 4*t^6.82 + 9*t^6.95 + 3*t^7.01 + 3*t^7.14 + t^7.2 + t^7.32 - t^7.39 + t^7.45 + t^7.57 + 3*t^7.96 + 9*t^8.09 + t^8.15 + 8*t^8.21 + t^8.27 + 5*t^8.34 - 4*t^8.4 - 4*t^8.52 - t^8.65 - t^4.26/y - t^6.66/y - t^6.79/y + t^7.74/y + t^7.86/y + t^7.92/y + t^8.75/y + (5*t^8.87)/y - t^4.26*y - t^6.66*y - t^6.79*y + t^7.74*y + t^7.86*y + t^7.92*y + t^8.75*y + 5*t^8.87*y | t^2.4/g1^4 + t^2.52/(g1^2*g2^2) + g2^4*t^3.35 + 4*g1^2*g2^2*t^3.48 + (3*g2^3*t^4.61)/g1 + 4*g1*g2*t^4.74 + t^4.8/g1^8 + (3*g1^3*t^4.86)/g2 + t^4.92/(g1^6*g2^2) + t^5.05/(g1^4*g2^4) + (g2^4*t^5.75)/g1^4 + (g2^2*t^5.87)/g1^2 - 4*t^6. - (4*g1^2*t^6.13)/g2^2 + g2^8*t^6.7 + 4*g1^2*g2^6*t^6.82 + 9*g1^4*g2^4*t^6.95 + (3*g2^3*t^7.01)/g1^5 + (3*g2*t^7.14)/g1^3 + t^7.2/g1^12 + t^7.32/(g1^10*g2^2) - (g1*t^7.39)/g2^3 + t^7.45/(g1^8*g2^4) + t^7.57/(g1^6*g2^6) + (3*g2^7*t^7.96)/g1 + 9*g1*g2^5*t^8.09 + (g2^4*t^8.15)/g1^8 + 8*g1^3*g2^3*t^8.21 + (g2^2*t^8.27)/g1^6 + 5*g1^5*g2*t^8.34 - (4*t^8.4)/g1^4 - (4*t^8.52)/(g1^2*g2^2) - t^8.65/g2^4 - t^4.26/(g1*g2*y) - t^6.66/(g1^5*g2*y) - t^6.79/(g1^3*g2^3*y) + (g1*g2*t^7.74)/y + (g1^3*t^7.86)/(g2*y) + t^7.92/(g1^6*g2^2*y) + (g2^4*t^8.75)/(g1^4*y) + (5*g2^2*t^8.87)/(g1^2*y) - (t^4.26*y)/(g1*g2) - (t^6.66*y)/(g1^5*g2) - (t^6.79*y)/(g1^3*g2^3) + g1*g2*t^7.74*y + (g1^3*t^7.86*y)/g2 + (t^7.92*y)/(g1^6*g2^2) + (g2^4*t^8.75*y)/g1^4 + (5*g2^2*t^8.87*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 783 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_3$ + $ M_4q_2\tilde{q}_1$ + $ M_1M_5$ + $ M_3M_6$ | 0.7121 | 0.8517 | 0.8362 | [X:[], M:[0.8744, 1.1256, 0.8744, 0.8278, 1.1256, 1.1256], q:[0.5395, 0.5861], qb:[0.5861, 0.5395], phi:[0.4372]] | t^2.48 + t^3.24 + 5*t^3.38 + 3*t^4.55 + 4*t^4.69 + 3*t^4.83 + t^4.97 + t^5.72 + t^5.86 - 8*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55671 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ q_2q_3$ + $ M_1\tilde{q}_1\tilde{q}_2$ | 0.7247 | 0.8687 | 0.8342 | [X:[], M:[0.7995], q:[0.5581, 1.0211, 0.9789], qb:[0.6003, 0.6003, 0.5581], phi:[0.4208]] | t^2.4 + t^2.52 + t^3.35 + 4*t^3.48 + 3*t^4.61 + 4*t^4.74 + t^4.8 + 3*t^4.86 + t^4.92 + t^5.05 + t^5.75 + t^5.87 - 4*t^6. - t^4.26/y - t^4.26*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 316 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_3$ + $ M_4q_2\tilde{q}_1$ | 0.7394 | 0.8922 | 0.8287 | [X:[], M:[0.8151, 1.1849, 0.8151, 0.7774], q:[0.5736, 0.6113], qb:[0.6113, 0.5736], phi:[0.4075]] | t^2.33 + 2*t^2.45 + t^3.44 + 3*t^3.55 + 4*t^4.66 + 6*t^4.78 + 6*t^4.89 + t^5.77 + t^5.89 - 2*t^6. - t^4.22/y - t^4.22*y | detail |