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 |
|---|---|---|---|---|---|---|---|---|---|
| 1201 | 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_5q_1q_2$ + $ M_1M_4$ + $ M_3M_6$ | 0.6362 | 0.7913 | 0.804 | [X:[], M:[1.1727, 0.7364, 0.8273, 0.8273, 0.7364, 1.1727], q:[0.8045, 0.4591], qb:[0.3682, 0.8045], phi:[0.3909]] | [X:[], M:[[-6], [-14], [6], [6], [-14], [-6]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ \phi_1^2$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ M_6$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_4$, $ M_4M_5$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_1M_5$, $ M_2M_6$, $ M_5M_6$, $ \phi_1^3\tilde{q}_1^2$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$ | $M_4M_6$, $ \phi_1^3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$ | 0 | 2*t^2.21 + t^2.35 + t^2.48 + t^3.38 + 2*t^3.52 + t^3.65 + t^3.93 + 3*t^4.42 + 2*t^4.55 + 3*t^4.69 + 2*t^4.83 + t^4.96 + 2*t^5.59 + 4*t^5.73 + 3*t^5.86 + t^6.14 + t^6.41 + 4*t^6.63 + 4*t^6.76 + 6*t^6.9 + 6*t^7.04 + 2*t^7.17 - t^7.31 + 3*t^7.8 + t^7.85 + 6*t^7.94 + 5*t^8.07 + t^8.35 - 3*t^8.48 - t^8.62 + 5*t^8.84 + t^8.89 + 6*t^8.97 - t^4.17/y - (2*t^6.38)/y - t^6.52/y + t^7.42/y + (2*t^7.55)/y + (2*t^7.69)/y + (2*t^7.83)/y + (2*t^7.96)/y - t^8.59/y + (3*t^8.73)/y + (4*t^8.86)/y - t^4.17*y - 2*t^6.38*y - t^6.52*y + t^7.42*y + 2*t^7.55*y + 2*t^7.69*y + 2*t^7.83*y + 2*t^7.96*y - t^8.59*y + 3*t^8.73*y + 4*t^8.86*y | (2*t^2.21)/g1^14 + t^2.35/g1^4 + g1^6*t^2.48 + t^3.38/g1^16 + (2*t^3.52)/g1^6 + g1^4*t^3.65 + g1^24*t^3.93 + (3*t^4.42)/g1^28 + (2*t^4.55)/g1^18 + (3*t^4.69)/g1^8 + 2*g1^2*t^4.83 + g1^12*t^4.96 + (2*t^5.59)/g1^30 + (4*t^5.73)/g1^20 + (3*t^5.86)/g1^10 + g1^10*t^6.14 + g1^30*t^6.41 + (4*t^6.63)/g1^42 + (4*t^6.76)/g1^32 + (6*t^6.9)/g1^22 + (6*t^7.04)/g1^12 + (2*t^7.17)/g1^2 - g1^8*t^7.31 + (3*t^7.8)/g1^44 + g1^48*t^7.85 + (6*t^7.94)/g1^34 + (5*t^8.07)/g1^24 + t^8.35/g1^4 - 3*g1^6*t^8.48 - g1^16*t^8.62 + (5*t^8.84)/g1^56 + g1^36*t^8.89 + (6*t^8.97)/g1^46 - t^4.17/(g1^2*y) - (2*t^6.38)/(g1^16*y) - t^6.52/(g1^6*y) + t^7.42/(g1^28*y) + (2*t^7.55)/(g1^18*y) + (2*t^7.69)/(g1^8*y) + (2*g1^2*t^7.83)/y + (2*g1^12*t^7.96)/y - t^8.59/(g1^30*y) + (3*t^8.73)/(g1^20*y) + (4*t^8.86)/(g1^10*y) - (t^4.17*y)/g1^2 - (2*t^6.38*y)/g1^16 - (t^6.52*y)/g1^6 + (t^7.42*y)/g1^28 + (2*t^7.55*y)/g1^18 + (2*t^7.69*y)/g1^8 + 2*g1^2*t^7.83*y + 2*g1^12*t^7.96*y - (t^8.59*y)/g1^30 + (3*t^8.73*y)/g1^20 + (4*t^8.86*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2246 | $\phi_1q_1^2$ + $ 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_5q_1q_2$ + $ M_1M_4$ + $ M_3M_6$ + $ M_7\phi_1q_2^2$ | 0.6569 | 0.8322 | 0.7893 | [X:[], M:[1.1706, 0.7315, 0.8294, 0.8294, 0.7315, 1.1706, 0.6826], q:[0.8049, 0.4636], qb:[0.3658, 0.8049], phi:[0.3902]] | t^2.05 + 2*t^2.19 + t^2.34 + t^2.49 + t^3.37 + 2*t^3.51 + t^3.66 + t^4.1 + 2*t^4.24 + 4*t^4.39 + 3*t^4.54 + 3*t^4.68 + 2*t^4.83 + t^4.98 + t^5.41 + 4*t^5.56 + 5*t^5.71 + 3*t^5.85 - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 732 | 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_5q_1q_2$ + $ M_1M_4$ | 0.651 | 0.8164 | 0.7974 | [X:[], M:[1.1768, 0.7458, 0.8232, 0.8232, 0.7458], q:[0.8039, 0.4503], qb:[0.3729, 0.8039], phi:[0.3923]] | 2*t^2.24 + t^2.35 + 2*t^2.47 + t^3.41 + t^3.53 + t^3.65 + t^3.88 + 3*t^4.47 + 2*t^4.59 + 5*t^4.71 + 3*t^4.82 + 3*t^4.94 + 2*t^5.65 + 2*t^5.77 + 3*t^5.88 - t^4.18/y - t^4.18*y | detail |