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 |
|---|---|---|---|---|---|---|---|---|---|
| 45889 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ | 0.7394 | 0.8922 | 0.8287 | [X:[], M:[0.8151, 0.7774, 0.8151, 1.1849], q:[0.6113, 0.5736], qb:[0.6113, 0.5736], phi:[0.4075]] | [X:[], M:[[-4, -4, 0, 0], [-4, 0, -4, 0], [0, 0, -4, -4], [2, 2, 2, 2]], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_4$, $ q_1\tilde{q}_2$, $ M_2^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_3$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_3^2$, $ M_1M_3$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2q_2\tilde{q}_2$, $ M_2M_4$ | $M_1M_4$, $ M_3M_4$, $ M_3q_1\tilde{q}_2$ | -2 | 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. - 4*t^6.11 + t^6.88 + 7*t^7. + 13*t^7.11 + 7*t^7.22 + 6*t^7.34 + 4*t^8.11 + 7*t^8.22 - 5*t^8.45 - 5*t^8.56 - t^4.22/y - t^6.55/y - (2*t^6.67)/y + (4*t^7.78)/y + (2*t^7.89)/y + t^8.77/y + (4*t^8.89)/y - t^4.22*y - t^6.55*y - 2*t^6.67*y + 4*t^7.78*y + 2*t^7.89*y + t^8.77*y + 4*t^8.89*y | t^2.33/(g1^4*g3^4) + t^2.45/(g1^4*g2^4) + t^2.45/(g3^4*g4^4) + g2^4*g4^4*t^3.44 + g2^4*g3^4*t^3.55 + g1^2*g2^2*g3^2*g4^2*t^3.55 + g1^4*g4^4*t^3.55 + t^4.66/(g1^8*g3^8) + (g2^7*t^4.66)/(g1*g3*g4) + (g2^3*g4^3*t^4.66)/(g1*g3) + (g4^7*t^4.66)/(g1*g2*g3) + t^4.78/(g1^8*g2^4*g3^4) + t^4.78/(g1^4*g3^8*g4^4) + (g1^3*g2^3*t^4.78)/(g3*g4) + (g2^3*g3^3*t^4.78)/(g1*g4) + (g1^3*g4^3*t^4.78)/(g2*g3) + (g3^3*g4^3*t^4.78)/(g1*g2) + t^4.89/(g1^8*g2^8) + t^4.89/(g3^8*g4^8) + t^4.89/(g1^4*g2^4*g3^4*g4^4) + (g1^7*t^4.89)/(g2*g3*g4) + (g1^3*g3^3*t^4.89)/(g2*g4) + (g3^7*t^4.89)/(g1*g2*g4) + (g2^4*g4^4*t^5.77)/(g1^4*g3^4) + (g2^2*g4^2*t^5.89)/(g1^2*g3^2) - 4*t^6. + (g1^2*g2^2*t^6.)/(g3^2*g4^2) + (g3^2*g4^2*t^6.)/(g1^2*g2^2) - (g1^4*t^6.11)/g2^4 - (g3^4*t^6.11)/g2^4 - (g1^4*t^6.11)/g4^4 - (g3^4*t^6.11)/g4^4 + g2^8*g4^8*t^6.88 + t^7./(g1^12*g3^12) + (g2^7*t^7.)/(g1^5*g3^5*g4) + (g2^3*g4^3*t^7.)/(g1^5*g3^5) + g2^8*g3^4*g4^4*t^7. + g1^2*g2^6*g3^2*g4^6*t^7. + (g4^7*t^7.)/(g1^5*g2*g3^5) + g1^4*g2^4*g4^8*t^7. + t^7.11/(g1^12*g2^4*g3^8) + g2^8*g3^8*t^7.11 + (g2^7*t^7.11)/(g1*g3^5*g4^5) + t^7.11/(g1^8*g3^12*g4^4) + (g2^3*t^7.11)/(g1*g3^5*g4) + (g2^3*t^7.11)/(g1^5*g3*g4) + g1^2*g2^6*g3^6*g4^2*t^7.11 + (g4^3*t^7.11)/(g1*g2*g3^5) + (g4^3*t^7.11)/(g1^5*g2*g3) + g1^4*g2^4*g3^4*g4^4*t^7.11 + g1^6*g2^2*g3^2*g4^6*t^7.11 + (g4^7*t^7.11)/(g1^5*g2^5*g3) + g1^8*g4^8*t^7.11 + t^7.22/(g1^12*g2^8*g3^4) + t^7.22/(g1^4*g3^12*g4^8) + (g1^3*g2^3*t^7.22)/(g3^5*g4^5) + t^7.22/(g1^8*g2^4*g3^8*g4^4) + (g1^3*t^7.22)/(g2*g3^5*g4) + (g3^3*t^7.22)/(g1^5*g2*g4) + (g3^3*g4^3*t^7.22)/(g1^5*g2^5) + t^7.34/(g1^12*g2^12) + t^7.34/(g3^12*g4^12) + t^7.34/(g1^4*g2^4*g3^8*g4^8) + (g1^7*t^7.34)/(g2*g3^5*g4^5) + t^7.34/(g1^8*g2^8*g3^4*g4^4) + (g3^7*t^7.34)/(g1^5*g2^5*g4) + (g2^11*g4^3*t^8.11)/(g1*g3) + (g2^4*g4^4*t^8.11)/(g1^8*g3^8) + (g2^7*g4^7*t^8.11)/(g1*g3) + (g2^3*g4^11*t^8.11)/(g1*g3) + (g2^11*g3^3*t^8.22)/(g1*g4) + (g2^2*g4^2*t^8.22)/(g1^6*g3^6) + (g1^3*g2^7*g4^3*t^8.22)/g3 + (g2^7*g3^3*g4^3*t^8.22)/g1 + (g1^3*g2^3*g4^7*t^8.22)/g3 + (g2^3*g3^3*g4^7*t^8.22)/g1 + (g1^3*g4^11*t^8.22)/(g2*g3) - (4*t^8.33)/(g1^4*g3^4) - (g2^4*t^8.33)/(g1^4*g3^4*g4^4) + (g2^2*t^8.33)/(g1^2*g3^6*g4^2) + (g2^7*g3^7*t^8.33)/(g1*g4) + (g4^2*t^8.33)/(g1^6*g2^2*g3^2) + (g1^7*g2^3*g4^3*t^8.33)/g3 + (g2^3*g3^7*g4^3*t^8.33)/g1 - (g4^4*t^8.33)/(g1^4*g2^4*g3^4) + (g1^7*g4^7*t^8.33)/(g2*g3) - (4*t^8.45)/(g1^4*g2^4) - t^8.45/(g2^4*g3^4) + (g1^2*g2^2*t^8.45)/(g3^6*g4^6) - t^8.45/(g1^4*g4^4) - (4*t^8.45)/(g3^4*g4^4) + t^8.45/(g1^2*g2^2*g3^2*g4^2) + (g2^3*g3^11*t^8.45)/(g1*g4) + (g3^2*g4^2*t^8.45)/(g1^6*g2^6) + (g1^11*g4^3*t^8.45)/(g2*g3) - (g3^4*t^8.56)/(g1^4*g2^8) - (g1^4*t^8.56)/(g3^4*g4^8) - t^8.56/(g2^4*g4^4) - (g1^4*t^8.56)/(g2^4*g3^4*g4^4) - (g3^4*t^8.56)/(g1^4*g2^4*g4^4) - t^4.22/(g1*g2*g3*g4*y) - t^6.55/(g1^5*g2*g3^5*g4*y) - t^6.67/(g1*g2*g3^5*g4^5*y) - t^6.67/(g1^5*g2^5*g3*g4*y) + t^7.78/(g1^8*g2^4*g3^4*y) + t^7.78/(g1^4*g3^8*g4^4*y) + (g1^3*g2^3*t^7.78)/(g3*g4*y) + (g3^3*g4^3*t^7.78)/(g1*g2*y) + t^7.89/(g1^4*g2^4*g3^4*g4^4*y) + (g1^3*g3^3*t^7.89)/(g2*g4*y) + (g2^4*g4^4*t^8.77)/(g1^4*g3^4*y) + (g2^4*t^8.89)/(g1^4*y) + (g2^4*t^8.89)/(g3^4*y) - t^8.89/(g1^9*g2*g3^9*g4*y) + (g2^2*g4^2*t^8.89)/(g1^2*g3^2*y) + (g4^4*t^8.89)/(g1^4*y) + (g4^4*t^8.89)/(g3^4*y) - (t^4.22*y)/(g1*g2*g3*g4) - (t^6.55*y)/(g1^5*g2*g3^5*g4) - (t^6.67*y)/(g1*g2*g3^5*g4^5) - (t^6.67*y)/(g1^5*g2^5*g3*g4) + (t^7.78*y)/(g1^8*g2^4*g3^4) + (t^7.78*y)/(g1^4*g3^8*g4^4) + (g1^3*g2^3*t^7.78*y)/(g3*g4) + (g3^3*g4^3*t^7.78*y)/(g1*g2) + (t^7.89*y)/(g1^4*g2^4*g3^4*g4^4) + (g1^3*g3^3*t^7.89*y)/(g2*g4) + (g2^4*g4^4*t^8.77*y)/(g1^4*g3^4) + (g2^4*t^8.89*y)/g1^4 + (g2^4*t^8.89*y)/g3^4 - (t^8.89*y)/(g1^9*g2*g3^9*g4) + (g2^2*g4^2*t^8.89*y)/(g1^2*g3^2) + (g4^4*t^8.89*y)/g1^4 + (g4^4*t^8.89*y)/g3^4 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45846 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.7556 | 0.9204 | 0.821 | [X:[], M:[0.7942, 0.7604, 0.7942], q:[0.6198, 0.586], 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 |