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 |
|---|---|---|---|---|---|---|---|---|---|
| 45843 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ | 0.7577 | 0.9271 | 0.8174 | [X:[], M:[0.7655, 0.7655, 0.7655], q:[0.6539, 0.5806], qb:[0.5806, 0.5806], phi:[0.4011]] | [X:[], M:[[-4, -4, 0, 0], [-4, 0, -4, 0], [-4, 0, 0, -4]], 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 |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_3$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_2^2$, $ M_1M_2$, $ M_3^2$, $ M_1M_3$, $ M_2M_3$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | . | -10 | 3*t^2.3 + t^2.41 + 3*t^3.48 + 6*t^4.59 + 6*t^4.69 + 3*t^4.7 + t^4.81 + 3*t^4.91 + t^5.13 + 6*t^5.78 + 3*t^5.89 - 10*t^6. - 3*t^6.22 + 10*t^6.89 + 6*t^6.97 + 15*t^6.98 + 6*t^7. + 6*t^7.09 + 3*t^7.11 - t^7.19 + t^7.22 + 3*t^7.31 + t^7.53 + 10*t^8.08 + 15*t^8.17 + 6*t^8.19 - 6*t^8.28 - 24*t^8.3 - 10*t^8.41 - 3*t^8.5 - 3*t^8.52 - 3*t^8.63 - t^8.72 - t^4.2/y - (3*t^6.5)/y - t^6.61/y + (3*t^7.59)/y + (3*t^7.7)/y + t^7.8/y + (3*t^7.91)/y + (9*t^8.78)/y - (6*t^8.8)/y + (3*t^8.89)/y - (3*t^8.91)/y - t^4.2*y - 3*t^6.5*y - t^6.61*y + 3*t^7.59*y + 3*t^7.7*y + t^7.8*y + 3*t^7.91*y + 9*t^8.78*y - 6*t^8.8*y + 3*t^8.89*y - 3*t^8.91*y | t^2.3/(g1^4*g2^4) + t^2.3/(g1^4*g3^4) + t^2.3/(g1^4*g4^4) + t^2.41/(g1^2*g2^2*g3^2*g4^2) + g2^4*g3^4*t^3.48 + g2^4*g4^4*t^3.48 + g3^4*g4^4*t^3.48 + t^4.59/(g1^8*g2^8) + t^4.59/(g1^8*g3^8) + t^4.59/(g1^8*g2^4*g3^4) + t^4.59/(g1^8*g4^8) + t^4.59/(g1^8*g2^4*g4^4) + t^4.59/(g1^8*g3^4*g4^4) + (g2^7*t^4.69)/(g1*g3*g4) + (g2^3*g3^3*t^4.69)/(g1*g4) + (g3^7*t^4.69)/(g1*g2*g4) + (g2^3*g4^3*t^4.69)/(g1*g3) + (g3^3*g4^3*t^4.69)/(g1*g2) + (g4^7*t^4.69)/(g1*g2*g3) + t^4.7/(g1^6*g2^2*g3^2*g4^6) + t^4.7/(g1^6*g2^2*g3^6*g4^2) + t^4.7/(g1^6*g2^6*g3^2*g4^2) + t^4.81/(g1^4*g2^4*g3^4*g4^4) + (g1^3*g2^3*t^4.91)/(g3*g4) + (g1^3*g3^3*t^4.91)/(g2*g4) + (g1^3*g4^3*t^4.91)/(g2*g3) + (g1^7*t^5.13)/(g2*g3*g4) + (g2^4*t^5.78)/g1^4 + (g3^4*t^5.78)/g1^4 + (g2^4*g3^4*t^5.78)/(g1^4*g4^4) + (g4^4*t^5.78)/g1^4 + (g2^4*g4^4*t^5.78)/(g1^4*g3^4) + (g3^4*g4^4*t^5.78)/(g1^4*g2^4) + (g2^2*g3^2*t^5.89)/(g1^2*g4^2) + (g2^2*g4^2*t^5.89)/(g1^2*g3^2) + (g3^2*g4^2*t^5.89)/(g1^2*g2^2) - 4*t^6. - (g2^4*t^6.)/g3^4 - (g3^4*t^6.)/g2^4 - (g2^4*t^6.)/g4^4 - (g3^4*t^6.)/g4^4 - (g4^4*t^6.)/g2^4 - (g4^4*t^6.)/g3^4 - (g1^4*t^6.22)/g2^4 - (g1^4*t^6.22)/g3^4 - (g1^4*t^6.22)/g4^4 + t^6.89/(g1^12*g2^12) + t^6.89/(g1^12*g3^12) + t^6.89/(g1^12*g2^4*g3^8) + t^6.89/(g1^12*g2^8*g3^4) + t^6.89/(g1^12*g4^12) + t^6.89/(g1^12*g2^4*g4^8) + t^6.89/(g1^12*g3^4*g4^8) + t^6.89/(g1^12*g2^8*g4^4) + t^6.89/(g1^12*g3^8*g4^4) + t^6.89/(g1^12*g2^4*g3^4*g4^4) + g2^8*g3^8*t^6.97 + g2^8*g3^4*g4^4*t^6.97 + g2^4*g3^8*g4^4*t^6.97 + g2^8*g4^8*t^6.97 + g2^4*g3^4*g4^8*t^6.97 + g3^8*g4^8*t^6.97 + (g2^7*t^6.98)/(g1^5*g3*g4^5) + (g2^3*g3^3*t^6.98)/(g1^5*g4^5) + (g3^7*t^6.98)/(g1^5*g2*g4^5) + (g2^7*t^6.98)/(g1^5*g3^5*g4) + (2*g2^3*t^6.98)/(g1^5*g3*g4) + (2*g3^3*t^6.98)/(g1^5*g2*g4) + (g3^7*t^6.98)/(g1^5*g2^5*g4) + (g2^3*g4^3*t^6.98)/(g1^5*g3^5) + (2*g4^3*t^6.98)/(g1^5*g2*g3) + (g3^3*g4^3*t^6.98)/(g1^5*g2^5) + (g4^7*t^6.98)/(g1^5*g2*g3^5) + (g4^7*t^6.98)/(g1^5*g2^5*g3) + t^7./(g1^10*g2^2*g3^2*g4^10) + t^7./(g1^10*g2^2*g3^6*g4^6) + t^7./(g1^10*g2^6*g3^2*g4^6) + t^7./(g1^10*g2^2*g3^10*g4^2) + t^7./(g1^10*g2^6*g3^6*g4^2) + t^7./(g1^10*g2^10*g3^2*g4^2) + (g2^5*t^7.09)/(g1^3*g3^3*g4^3) + (g2*g3*t^7.09)/(g1^3*g4^3) + (g3^5*t^7.09)/(g1^3*g2^3*g4^3) + (g2*g4*t^7.09)/(g1^3*g3^3) + (g3*g4*t^7.09)/(g1^3*g2^3) + (g4^5*t^7.09)/(g1^3*g2^3*g3^3) + t^7.11/(g1^8*g2^4*g3^4*g4^8) + t^7.11/(g1^8*g2^4*g3^8*g4^4) + t^7.11/(g1^8*g2^8*g3^4*g4^4) - g1^4*g2^4*g3^4*g4^4*t^7.19 + t^7.22/(g1^6*g2^6*g3^6*g4^6) + (g1*g2*t^7.31)/(g3^3*g4^3) + (g1*g3*t^7.31)/(g2^3*g4^3) + (g1*g4*t^7.31)/(g2^3*g3^3) + (g1^5*t^7.53)/(g2^3*g3^3*g4^3) + t^8.08/g1^8 + (g2^4*t^8.08)/(g1^8*g3^4) + (g3^4*t^8.08)/(g1^8*g2^4) + (g2^4*g3^4*t^8.08)/(g1^8*g4^8) + (g2^4*t^8.08)/(g1^8*g4^4) + (g3^4*t^8.08)/(g1^8*g4^4) + (g4^4*t^8.08)/(g1^8*g2^4) + (g2^4*g4^4*t^8.08)/(g1^8*g3^8) + (g4^4*t^8.08)/(g1^8*g3^4) + (g3^4*g4^4*t^8.08)/(g1^8*g2^8) + (g2^11*g3^3*t^8.17)/(g1*g4) + (g2^7*g3^7*t^8.17)/(g1*g4) + (g2^3*g3^11*t^8.17)/(g1*g4) + (g2^11*g4^3*t^8.17)/(g1*g3) + (2*g2^7*g3^3*g4^3*t^8.17)/g1 + (2*g2^3*g3^7*g4^3*t^8.17)/g1 + (g3^11*g4^3*t^8.17)/(g1*g2) + (g2^7*g4^7*t^8.17)/(g1*g3) + (2*g2^3*g3^3*g4^7*t^8.17)/g1 + (g3^7*g4^7*t^8.17)/(g1*g2) + (g2^3*g4^11*t^8.17)/(g1*g3) + (g3^3*g4^11*t^8.17)/(g1*g2) + (g2^2*g3^2*t^8.19)/(g1^6*g4^6) + (g2^2*t^8.19)/(g1^6*g3^2*g4^2) + (g3^2*t^8.19)/(g1^6*g2^2*g4^2) + (g2^2*g4^2*t^8.19)/(g1^6*g3^6) + (g4^2*t^8.19)/(g1^6*g2^2*g3^2) + (g3^2*g4^2*t^8.19)/(g1^6*g2^6) - g1*g2^9*g3*g4*t^8.28 - g1*g2^5*g3^5*g4*t^8.28 - g1*g2*g3^9*g4*t^8.28 - g1*g2^5*g3*g4^5*t^8.28 - g1*g2*g3^5*g4^5*t^8.28 - g1*g2*g3*g4^9*t^8.28 - (4*t^8.3)/(g1^4*g2^4) - (g2^4*t^8.3)/(g1^4*g3^8) - (4*t^8.3)/(g1^4*g3^4) - (g3^4*t^8.3)/(g1^4*g2^8) - (g2^4*t^8.3)/(g1^4*g4^8) - (g3^4*t^8.3)/(g1^4*g4^8) - (4*t^8.3)/(g1^4*g4^4) - (2*g2^4*t^8.3)/(g1^4*g3^4*g4^4) - (2*g3^4*t^8.3)/(g1^4*g2^4*g4^4) - (g4^4*t^8.3)/(g1^4*g2^8) - (g4^4*t^8.3)/(g1^4*g3^8) - (2*g4^4*t^8.3)/(g1^4*g2^4*g3^4) - (g2^2*t^8.41)/(g1^2*g3^2*g4^6) - (g3^2*t^8.41)/(g1^2*g2^2*g4^6) - (g2^2*t^8.41)/(g1^2*g3^6*g4^2) - (4*t^8.41)/(g1^2*g2^2*g3^2*g4^2) - (g3^2*t^8.41)/(g1^2*g2^6*g4^2) - (g4^2*t^8.41)/(g1^2*g2^2*g3^6) - (g4^2*t^8.41)/(g1^2*g2^6*g3^2) - g1^5*g2^5*g3*g4*t^8.5 - g1^5*g2*g3^5*g4*t^8.5 - g1^5*g2*g3*g4^5*t^8.5 - t^8.52/(g2^4*g3^4) - t^8.52/(g2^4*g4^4) - t^8.52/(g3^4*g4^4) - (g1^2*t^8.63)/(g2^2*g3^2*g4^6) - (g1^2*t^8.63)/(g2^2*g3^6*g4^2) - (g1^2*t^8.63)/(g2^6*g3^2*g4^2) - g1^9*g2*g3*g4*t^8.72 - t^4.2/(g1*g2*g3*g4*y) - t^6.5/(g1^5*g2*g3*g4^5*y) - t^6.5/(g1^5*g2*g3^5*g4*y) - t^6.5/(g1^5*g2^5*g3*g4*y) - t^6.61/(g1^3*g2^3*g3^3*g4^3*y) + t^7.59/(g1^8*g2^4*g3^4*y) + t^7.59/(g1^8*g2^4*g4^4*y) + t^7.59/(g1^8*g3^4*g4^4*y) + t^7.7/(g1^6*g2^2*g3^2*g4^6*y) + t^7.7/(g1^6*g2^2*g3^6*g4^2*y) + t^7.7/(g1^6*g2^6*g3^2*g4^2*y) + (g1*g2*g3*g4*t^7.8)/y + (g1^3*g2^3*t^7.91)/(g3*g4*y) + (g1^3*g3^3*t^7.91)/(g2*g4*y) + (g1^3*g4^3*t^7.91)/(g2*g3*y) + (2*g2^4*t^8.78)/(g1^4*y) + (2*g3^4*t^8.78)/(g1^4*y) + (g2^4*g3^4*t^8.78)/(g1^4*g4^4*y) + (2*g4^4*t^8.78)/(g1^4*y) + (g2^4*g4^4*t^8.78)/(g1^4*g3^4*y) + (g3^4*g4^4*t^8.78)/(g1^4*g2^4*y) - t^8.8/(g1^9*g2*g3*g4^9*y) - t^8.8/(g1^9*g2*g3^5*g4^5*y) - t^8.8/(g1^9*g2^5*g3*g4^5*y) - t^8.8/(g1^9*g2*g3^9*g4*y) - t^8.8/(g1^9*g2^5*g3^5*g4*y) - t^8.8/(g1^9*g2^9*g3*g4*y) + (g2^2*g3^2*t^8.89)/(g1^2*g4^2*y) + (g2^2*g4^2*t^8.89)/(g1^2*g3^2*y) + (g3^2*g4^2*t^8.89)/(g1^2*g2^2*y) - t^8.91/(g1^7*g2^3*g3^3*g4^7*y) - t^8.91/(g1^7*g2^3*g3^7*g4^3*y) - t^8.91/(g1^7*g2^7*g3^3*g4^3*y) - (t^4.2*y)/(g1*g2*g3*g4) - (t^6.5*y)/(g1^5*g2*g3*g4^5) - (t^6.5*y)/(g1^5*g2*g3^5*g4) - (t^6.5*y)/(g1^5*g2^5*g3*g4) - (t^6.61*y)/(g1^3*g2^3*g3^3*g4^3) + (t^7.59*y)/(g1^8*g2^4*g3^4) + (t^7.59*y)/(g1^8*g2^4*g4^4) + (t^7.59*y)/(g1^8*g3^4*g4^4) + (t^7.7*y)/(g1^6*g2^2*g3^2*g4^6) + (t^7.7*y)/(g1^6*g2^2*g3^6*g4^2) + (t^7.7*y)/(g1^6*g2^6*g3^2*g4^2) + g1*g2*g3*g4*t^7.8*y + (g1^3*g2^3*t^7.91*y)/(g3*g4) + (g1^3*g3^3*t^7.91*y)/(g2*g4) + (g1^3*g4^3*t^7.91*y)/(g2*g3) + (2*g2^4*t^8.78*y)/g1^4 + (2*g3^4*t^8.78*y)/g1^4 + (g2^4*g3^4*t^8.78*y)/(g1^4*g4^4) + (2*g4^4*t^8.78*y)/g1^4 + (g2^4*g4^4*t^8.78*y)/(g1^4*g3^4) + (g3^4*g4^4*t^8.78*y)/(g1^4*g2^4) - (t^8.8*y)/(g1^9*g2*g3*g4^9) - (t^8.8*y)/(g1^9*g2*g3^5*g4^5) - (t^8.8*y)/(g1^9*g2^5*g3*g4^5) - (t^8.8*y)/(g1^9*g2*g3^9*g4) - (t^8.8*y)/(g1^9*g2^5*g3^5*g4) - (t^8.8*y)/(g1^9*g2^9*g3*g4) + (g2^2*g3^2*t^8.89*y)/(g1^2*g4^2) + (g2^2*g4^2*t^8.89*y)/(g1^2*g3^2) + (g3^2*g4^2*t^8.89*y)/(g1^2*g2^2) - (t^8.91*y)/(g1^7*g2^3*g3^3*g4^7) - (t^8.91*y)/(g1^7*g2^3*g3^7*g4^3) - (t^8.91*y)/(g1^7*g2^7*g3^3*g4^3) |
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 |
|---|---|---|---|---|---|---|---|---|
| 45909 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ | 0.742 | 0.9005 | 0.8241 | [X:[], M:[0.7832, 0.7832, 0.7832, 1.1759], q:[0.6493, 0.5675], qb:[0.5675, 0.5675], phi:[0.4121]] | 3*t^2.35 + 3*t^3.4 + t^3.53 + 6*t^4.64 + 6*t^4.7 + 3*t^4.89 + t^5.13 + 6*t^5.75 + 3*t^5.88 - 10*t^6. - t^4.24/y - t^4.24*y | detail | |
| 45897 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ | 0.7737 | 0.9544 | 0.8107 | [X:[], M:[0.7498, 0.7801, 0.7498, 0.7817], q:[0.641, 0.6091], qb:[0.5788, 0.6091], phi:[0.3905]] | 2*t^2.25 + 2*t^2.34 + t^2.35 + 2*t^3.56 + 3*t^4.5 + 6*t^4.59 + t^4.64 + 2*t^4.68 + 4*t^4.69 + 2*t^4.74 + 4*t^4.83 + 2*t^4.92 + t^5.02 + 3*t^5.81 + 2*t^5.91 - 6*t^6. - t^4.17/y - t^4.17*y | detail | |
| 45890 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ \phi_1^4$ | 0.6994 | 0.8663 | 0.8073 | [X:[], M:[0.9428, 0.9428, 0.9428], q:[0.5858, 0.4714], qb:[0.4714, 0.4714], phi:[0.5]] | 6*t^2.83 + t^3. + 6*t^4.33 + 3*t^4.67 + t^5.01 + 18*t^5.66 + 6*t^5.83 - 10*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45838 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ | 0.7406 | 0.8961 | 0.8265 | [X:[], M:[0.7808, 0.7808], q:[0.6298, 0.5894], qb:[0.5894, 0.5527], phi:[0.4097]] | 2*t^2.34 + t^2.46 + 2*t^3.43 + t^3.54 + t^3.55 + t^4.54 + 2*t^4.66 + 3*t^4.68 + 3*t^4.77 + t^4.78 + 2*t^4.8 + 2*t^4.89 + t^4.92 + t^5.01 + 3*t^5.77 + 2*t^5.88 + t^5.99 - 6*t^6. - t^4.23/y - t^4.23*y | detail |