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 |
|---|---|---|---|---|---|---|---|---|---|
| 125 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ | 0.7382 | 0.8885 | 0.8308 | [X:[], M:[0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]] | [X:[], M:[[-2, -2], [-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 |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1^4$ | $M_2q_2\tilde{q}_1$, $ M_2q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$ | -4 | 3*t^2.43 + 4*t^3.57 + 10*t^4.78 + 6*t^4.86 - 4*t^6. + 9*t^7.14 + 15*t^7.22 + 10*t^7.3 + 15*t^8.35 - 14*t^8.43 - t^4.22/y - (3*t^6.65)/y + (3*t^7.78)/y + (3*t^7.86)/y - t^4.22*y - 3*t^6.65*y + 3*t^7.78*y + 3*t^7.86*y | (3*t^2.43)/(g1^2*g2^2) + g1^4*t^3.57 + 2*g1^2*g2^2*t^3.57 + g2^4*t^3.57 + (3*g1^3*t^4.78)/g2 + 4*g1*g2*t^4.78 + (3*g2^3*t^4.78)/g1 + (6*t^4.86)/(g1^4*g2^4) - 2*t^6. - (g1^2*t^6.)/g2^2 - (g2^2*t^6.)/g1^2 + g1^8*t^7.14 + 2*g1^6*g2^2*t^7.14 + 3*g1^4*g2^4*t^7.14 + 2*g1^2*g2^6*t^7.14 + g2^8*t^7.14 + (5*g1*t^7.22)/g2^3 + (5*t^7.22)/(g1*g2) + (5*g2*t^7.22)/g1^3 + (10*t^7.3)/(g1^6*g2^6) + (3*g1^7*t^8.35)/g2 + 3*g1^5*g2*t^8.35 + 3*g1^3*g2^3*t^8.35 + 3*g1*g2^5*t^8.35 + (3*g2^7*t^8.35)/g1 - (3*t^8.43)/g1^4 - (3*t^8.43)/g2^4 - (8*t^8.43)/(g1^2*g2^2) - t^4.22/(g1*g2*y) - (3*t^6.65)/(g1^3*g2^3*y) + (3*g1*g2*t^7.78)/y + (3*t^7.86)/(g1^4*g2^4*y) - (t^4.22*y)/(g1*g2) - (3*t^6.65*y)/(g1^3*g2^3) + 3*g1*g2*t^7.78*y + (3*t^7.86*y)/(g1^4*g2^4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 205 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ | 0.7556 | 0.9204 | 0.821 | [X:[], M:[0.7942, 0.7942, 0.7604], q:[0.586, 0.6198], qb:[0.6198, 0.586], phi:[0.3971]] | t^2.28 + 3*t^2.38 + t^3.52 + 2*t^3.62 + t^4.56 + 3*t^4.66 + 3*t^4.71 + 6*t^4.77 + 4*t^4.81 + 3*t^4.91 + t^5.8 + t^5.9 - 2*t^6. - t^4.19/y - t^4.19*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55781 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ q_2q_3$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_3$ | 0.7382 | 0.8885 | 0.8308 | [X:[], M:[0.8108, 0.8108], q:[0.5946, 1.0, 1.0], qb:[0.5946, 0.5946, 0.5946], phi:[0.4054]] | 3*t^2.43 + 4*t^3.57 + 10*t^4.78 + 6*t^4.86 - 4*t^6. - t^4.22/y - t^4.22*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 |
|---|---|---|---|---|---|---|---|---|---|
| 79 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ | 0.7394 | 0.8922 | 0.8287 | [X:[], M:[0.8151, 0.7774], q:[0.6113, 0.5736], 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 |