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 |
|---|---|---|---|---|---|---|---|---|---|
| 55727 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1\phi_1^2$ + $ \phi_1q_3\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ | 0.8188 | 1.0013 | 0.8177 | [X:[], M:[0.951, 0.7515], q:[0.7142, 0.7613, 0.7377], qb:[0.7377, 0.4873, 0.4637], phi:[0.5245]] | [X:[], M:[[0, 0, 2, 2], [-1, 0, -2, 0]], q:[[-1, 0, 1, 1], [1, 0, 0, 0], [0, -1, 1, 1]], qb:[[0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 2]], phi:[[0, 0, -1, -1]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ \tilde{q}_2\tilde{q}_3$, $ q_1\tilde{q}_3$, $ q_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_3$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_3^2$, $ q_1q_2$, $ q_3\tilde{q}_1$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_1M_2$, $ M_2\tilde{q}_2\tilde{q}_3$, $ M_1^2$, $ M_1\tilde{q}_2\tilde{q}_3$, $ \tilde{q}_2^2\tilde{q}_3^2$, $ M_2q_1\tilde{q}_3$, $ M_2q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_3$ | . | -4 | t^2.25 + 2*t^2.85 + t^3.53 + 3*t^3.6 + 3*t^3.67 + 3*t^4.36 + 3*t^4.43 + 3*t^4.5 + t^4.51 + 2*t^5.11 + 3*t^5.71 + t^5.79 + 3*t^5.86 - 4*t^6. - 3*t^6.07 + 2*t^6.39 + 6*t^6.46 + 6*t^6.53 + 3*t^6.61 + t^6.68 - 3*t^6.75 + t^6.76 - 6*t^6.82 - 2*t^6.89 + t^7.07 + 3*t^7.14 + 12*t^7.21 + 12*t^7.28 + 9*t^7.35 + 2*t^7.36 - 3*t^7.5 - 3*t^7.57 - 3*t^7.64 + 3*t^7.89 + 12*t^7.96 + 12*t^8.03 + t^8.04 + 9*t^8.1 + 3*t^8.11 + 6*t^8.17 - 4*t^8.25 - 3*t^8.33 + 4*t^8.56 + 2*t^8.64 + 9*t^8.71 + 3*t^8.78 - 6*t^8.85 + 3*t^8.86 - 3*t^8.92 + t^8.94 + 3*t^8.99 - t^4.57/y - t^6.83/y + (2*t^8.11)/y + t^8.32/y + t^8.71/y + t^8.79/y + (3*t^8.86)/y + (3*t^8.93)/y - t^4.57*y - t^6.83*y + 2*t^8.11*y + t^8.32*y + t^8.71*y + t^8.79*y + 3*t^8.86*y + 3*t^8.93*y | t^2.25/(g1*g3^2) + 2*g3^2*g4^2*t^2.85 + (g3*g4^3*t^3.53)/g1 + (g3^3*g4*t^3.6)/g1 + g2*g4^2*t^3.6 + (g3*g4^3*t^3.6)/g2 + g2*g3^2*t^3.67 + (g3^3*g4*t^3.67)/g2 + g1*g4^2*t^3.67 + (g2*g3*g4*t^4.36)/g1 + (g3^2*g4^2*t^4.36)/(g1*g2) + (g4^3*t^4.36)/g3 + 3*g3*g4*t^4.43 + g1*g2*t^4.5 + (g3^3*t^4.5)/g4 + (g1*g3*g4*t^4.5)/g2 + t^4.51/(g1^2*g3^4) + (2*g4^2*t^5.11)/g1 + 3*g3^4*g4^4*t^5.71 + (g4^3*t^5.79)/(g1^2*g3) + (g3*g4*t^5.86)/g1^2 + (g2*g4^2*t^5.86)/(g1*g3^2) + (g4^3*t^5.86)/(g1*g2*g3) - 4*t^6. - (g1*t^6.07)/g2 - (g3^2*t^6.07)/g4^2 - (g1*g2*t^6.07)/(g3*g4) + (2*g3^3*g4^5*t^6.39)/g1 + (2*g3^5*g4^3*t^6.46)/g1 + 2*g2*g3^2*g4^4*t^6.46 + (2*g3^3*g4^5*t^6.46)/g2 + 2*g2*g3^4*g4^2*t^6.53 + (2*g3^5*g4^3*t^6.53)/g2 + 2*g1*g3^2*g4^4*t^6.53 + (g2*g4*t^6.61)/(g1^2*g3) + (g4^2*t^6.61)/(g1^2*g2) + (g4^3*t^6.61)/(g1*g3^3) + (g4*t^6.68)/(g1*g3) - (g2*t^6.75)/g3^2 - (g3*t^6.75)/(g1*g4) - (g4*t^6.75)/(g2*g3) + t^6.76/(g1^3*g3^6) - (2*g1*t^6.82)/g3^2 - (2*g2*t^6.82)/g4^2 - (2*g3*t^6.82)/(g2*g4) - (2*g1*t^6.89)/g4^2 + (g3^2*g4^6*t^7.07)/g1^2 + (g3^4*g4^4*t^7.14)/g1^2 + (g2*g3*g4^5*t^7.14)/g1 + (g3^2*g4^6*t^7.14)/(g1*g2) + (g3^6*g4^2*t^7.21)/g1^2 + (3*g2*g3^3*g4^3*t^7.21)/g1 + g2^2*g4^4*t^7.21 + (3*g3^4*g4^4*t^7.21)/(g1*g2) + 3*g3*g4^5*t^7.21 + (g3^2*g4^6*t^7.21)/g2^2 + (g2*g3^5*g4*t^7.28)/g1 + g2^2*g3^2*g4^2*t^7.28 + (g3^6*g4^2*t^7.28)/(g1*g2) + 6*g3^3*g4^3*t^7.28 + g1*g2*g4^4*t^7.28 + (g3^4*g4^4*t^7.28)/g2^2 + (g1*g3*g4^5*t^7.28)/g2 + g2^2*g3^4*t^7.35 + 2*g3^5*g4*t^7.35 + 2*g1*g2*g3^2*g4^2*t^7.35 + (g3^6*g4^2*t^7.35)/g2^2 + (2*g1*g3^3*g4^3*t^7.35)/g2 + g1^2*g4^4*t^7.35 + (2*g4^2*t^7.36)/(g1^2*g3^2) - t^7.5/(g1*g2) - (g2*t^7.5)/(g1*g3*g4) - (g4*t^7.5)/g3^3 - (3*t^7.57)/(g3*g4) - (g3*t^7.64)/g4^3 - (g1*g2*t^7.64)/(g3^2*g4^2) - (g1*t^7.64)/(g2*g3*g4) + (g2*g3^2*g4^4*t^7.89)/g1^2 + (g3^3*g4^5*t^7.89)/(g1^2*g2) + (g4^6*t^7.89)/g1 + (g2*g3^4*g4^2*t^7.96)/g1^2 + (g2^2*g3*g4^3*t^7.96)/g1 + (g3^5*g4^3*t^7.96)/(g1^2*g2) + (6*g3^2*g4^4*t^7.96)/g1 + (g2*g4^5*t^7.96)/g3 + (g3^3*g4^5*t^7.96)/(g1*g2^2) + (g4^6*t^7.96)/g2 + (g2^2*g3^3*g4*t^8.03)/g1 + (3*g3^4*g4^2*t^8.03)/g1 + 3*g2*g3*g4^3*t^8.03 + (g3^5*g4^3*t^8.03)/(g1*g2^2) + (3*g3^2*g4^4*t^8.03)/g2 + (g1*g4^5*t^8.03)/g3 + (g4^3*t^8.04)/(g1^3*g3^3) + (g3^6*t^8.1)/g1 + 2*g2*g3^3*g4*t^8.1 + g1*g2^2*g4^2*t^8.1 + (2*g3^4*g4^2*t^8.1)/g2 + 2*g1*g3*g4^3*t^8.1 + (g1*g3^2*g4^4*t^8.1)/g2^2 + (g4*t^8.11)/(g1^3*g3) + (g2*g4^2*t^8.11)/(g1^2*g3^4) + (g4^3*t^8.11)/(g1^2*g2*g3^3) + g1*g2^2*g3^2*t^8.17 + (g3^6*t^8.17)/g2 + (g2*g3^5*t^8.17)/g4 + g1^2*g2*g4^2*t^8.17 + (g1*g3^4*g4^2*t^8.17)/g2^2 + (g1^2*g3*g4^3*t^8.17)/g2 - (4*t^8.25)/(g1*g3^2) - t^8.33/(g2*g3^2) - t^8.33/(g1*g4^2) - (g2*t^8.33)/(g3^3*g4) + 4*g3^6*g4^6*t^8.56 + (2*g3*g4^5*t^8.64)/g1^2 + (g2^2*g3^2*g4^2*t^8.71)/g1^2 + (2*g3^3*g4^3*t^8.71)/g1^2 + (2*g2*g4^4*t^8.71)/g1 + (g3^4*g4^4*t^8.71)/(g1^2*g2^2) + (2*g3*g4^5*t^8.71)/(g1*g2) + (g4^6*t^8.71)/g3^2 + (g2*g3^2*g4^2*t^8.78)/g1 + (g3^3*g4^3*t^8.78)/(g1*g2) + g4^4*t^8.78 - 6*g3^2*g4^2*t^8.85 + (g2*g4*t^8.86)/(g1^3*g3^3) + (g4^2*t^8.86)/(g1^3*g2*g3^2) + (g4^3*t^8.86)/(g1^2*g3^5) - g3^4*t^8.92 - g1*g2*g3*g4*t^8.92 - (g1*g3^2*g4^2*t^8.92)/g2 + (g4*t^8.94)/(g1^2*g3^3) + g1^2*g2^2*t^8.99 + (g3^6*t^8.99)/g4^2 + (g1^2*g3^2*g4^2*t^8.99)/g2^2 - t^4.57/(g3*g4*y) - t^6.83/(g1*g3^3*g4*y) + (2*g4^2*t^8.11)/(g1*y) + (g1*g3*t^8.32)/(g4*y) + (g3^4*g4^4*t^8.71)/y + (g4^3*t^8.79)/(g1^2*g3*y) + (g3*g4*t^8.86)/(g1^2*y) + (g2*g4^2*t^8.86)/(g1*g3^2*y) + (g4^3*t^8.86)/(g1*g2*g3*y) + (g2*t^8.93)/(g1*y) + (g3*g4*t^8.93)/(g1*g2*y) + (g4^2*t^8.93)/(g3^2*y) - (t^4.57*y)/(g3*g4) - (t^6.83*y)/(g1*g3^3*g4) + (2*g4^2*t^8.11*y)/g1 + (g1*g3*t^8.32*y)/g4 + g3^4*g4^4*t^8.71*y + (g4^3*t^8.79*y)/(g1^2*g3) + (g3*g4*t^8.86*y)/g1^2 + (g2*g4^2*t^8.86*y)/(g1*g3^2) + (g4^3*t^8.86*y)/(g1*g2*g3) + (g2*t^8.93*y)/g1 + (g3*g4*t^8.93*y)/(g1*g2) + (g4^2*t^8.93*y)/g3^2 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55681 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1\phi_1^2$ + $ \phi_1q_3\tilde{q}_1$ | 0.8008 | 0.9717 | 0.8242 | [X:[], M:[0.9333], q:[0.7333, 0.7333, 0.7333], qb:[0.7333, 0.4667, 0.4667], phi:[0.5333]] | 2*t^2.8 + 8*t^3.6 + 9*t^4.4 + 3*t^5.6 - 10*t^6. - t^4.6/y - t^4.6*y | detail | {a: 961/1200, c: 583/600, M1: 14/15, q1: 11/15, q2: 11/15, q3: 11/15, qb1: 11/15, qb2: 7/15, qb3: 7/15, phi1: 8/15} |