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 |
|---|---|---|---|---|---|---|---|---|---|
| 46821 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ \phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_1\tilde{q}_2$ | 0.6493 | 0.8122 | 0.7994 | [X:[], M:[0.8195, 0.8195, 1.1805, 0.7545, 0.787], q:[0.3773, 0.8032], qb:[0.8032, 0.4422], phi:[0.3935]] | [X:[], M:[[6], [6], [-6], [-14], [-4]], q:[[-7], [1]], qb:[[1], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_2$, $ \phi_1q_1^2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_2M_4$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_5$, $ M_2M_5$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1q_1^2$, $ M_3M_4$, $ M_5\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_3M_5$, $ M_3\phi_1^2$ | $M_2M_3$, $ \phi_1q_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$ | 0 | t^2.26 + 2*t^2.36 + 2*t^2.46 + t^3.44 + t^3.54 + t^3.74 + t^3.83 + t^4.53 + 2*t^4.62 + 5*t^4.72 + 5*t^4.82 + 3*t^4.92 + t^5.71 + 2*t^5.81 + 2*t^5.9 + t^6.1 + 3*t^6.19 + 2*t^6.29 + t^6.79 + 3*t^6.89 + 5*t^6.99 + 7*t^7.08 + 8*t^7.18 + 5*t^7.28 + 2*t^7.38 + t^7.57 + t^7.67 + t^7.97 + 2*t^8.07 + 3*t^8.17 + t^8.26 - 2*t^8.36 - 3*t^8.46 + 2*t^8.56 + 5*t^8.65 + 3*t^8.75 - t^4.18/y - t^6.44/y - (2*t^6.54)/y - t^6.64/y + (2*t^7.62)/y + (4*t^7.72)/y + (6*t^7.82)/y + (2*t^7.92)/y + t^8.81/y - t^4.18*y - t^6.44*y - 2*t^6.54*y - t^6.64*y + 2*t^7.62*y + 4*t^7.72*y + 6*t^7.82*y + 2*t^7.92*y + t^8.81*y | t^2.26/g1^14 + (2*t^2.36)/g1^4 + 2*g1^6*t^2.46 + t^3.44/g1^16 + t^3.54/g1^6 + g1^14*t^3.74 + g1^24*t^3.83 + t^4.53/g1^28 + (2*t^4.62)/g1^18 + (5*t^4.72)/g1^8 + 5*g1^2*t^4.82 + 3*g1^12*t^4.92 + t^5.71/g1^30 + (2*t^5.81)/g1^20 + (2*t^5.9)/g1^10 + g1^10*t^6.1 + 3*g1^20*t^6.19 + 2*g1^30*t^6.29 + t^6.79/g1^42 + (3*t^6.89)/g1^32 + (5*t^6.99)/g1^22 + (7*t^7.08)/g1^12 + (8*t^7.18)/g1^2 + 5*g1^8*t^7.28 + 2*g1^18*t^7.38 + g1^38*t^7.57 + g1^48*t^7.67 + t^7.97/g1^44 + (2*t^8.07)/g1^34 + (3*t^8.17)/g1^24 + t^8.26/g1^14 - (2*t^8.36)/g1^4 - 3*g1^6*t^8.46 + 2*g1^16*t^8.56 + 5*g1^26*t^8.65 + 3*g1^36*t^8.75 - t^4.18/(g1^2*y) - t^6.44/(g1^16*y) - (2*t^6.54)/(g1^6*y) - (g1^4*t^6.64)/y + (2*t^7.62)/(g1^18*y) + (4*t^7.72)/(g1^8*y) + (6*g1^2*t^7.82)/y + (2*g1^12*t^7.92)/y + t^8.81/(g1^20*y) - (t^4.18*y)/g1^2 - (t^6.44*y)/g1^16 - (2*t^6.54*y)/g1^6 - g1^4*t^6.64*y + (2*t^7.62*y)/g1^18 + (4*t^7.72*y)/g1^8 + 6*g1^2*t^7.82*y + 2*g1^12*t^7.92*y + (t^8.81*y)/g1^20 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55144 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ \phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_3M_6$ | 0.6647 | 0.8391 | 0.7922 | [X:[], M:[0.8151, 0.8151, 1.1849, 0.7647, 0.7899, 0.8151], q:[0.3824, 0.8025], qb:[0.8025, 0.4327], phi:[0.395]] | t^2.29 + 2*t^2.37 + 3*t^2.45 + t^3.48 + t^3.71 + t^3.78 + t^4.59 + 2*t^4.66 + 6*t^4.74 + 7*t^4.82 + 6*t^4.89 + t^5.77 + t^5.85 + t^5.92 - 2*t^6. - t^4.18/y - t^4.18*y | detail | |
| 55253 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ \phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_4M_6$ | 0.6309 | 0.7794 | 0.8094 | [X:[], M:[0.8116, 0.8116, 1.1884, 0.773, 0.7923, 1.227], q:[0.3865, 0.8019], qb:[0.8019, 0.4251], phi:[0.3961]] | 2*t^2.38 + 2*t^2.43 + t^3.51 + t^3.57 + 2*t^3.68 + t^3.74 + 3*t^4.75 + 5*t^4.81 + 3*t^4.87 + t^5.88 + 2*t^5.94 - t^6. - t^4.19/y - t^4.19*y | detail | |
| 55244 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ \phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ | 0.6635 | 0.8374 | 0.7923 | [X:[], M:[0.8076, 0.8076, 1.1924, 0.7824, 0.795, 0.8201], q:[0.3912, 0.8013], qb:[0.8013, 0.4164], phi:[0.3975]] | t^2.35 + 2*t^2.38 + 2*t^2.42 + t^2.46 + t^3.58 + t^3.65 + t^3.69 + t^4.69 + 2*t^4.73 + 5*t^4.77 + 6*t^4.81 + 5*t^4.85 + 2*t^4.88 + t^4.92 - 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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46429 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ \phi_1q_2\tilde{q}_1$ | 0.6321 | 0.7818 | 0.8086 | [X:[], M:[0.817, 0.817, 1.183, 0.7604], q:[0.3802, 0.8028], qb:[0.8028, 0.4368], phi:[0.3943]] | t^2.28 + t^2.37 + 2*t^2.45 + t^3.46 + t^3.55 + t^3.63 + t^3.72 + t^3.8 + t^4.56 + t^4.65 + 3*t^4.73 + 3*t^4.82 + 3*t^4.9 + t^5.75 + t^5.83 + 2*t^5.92 + t^6. - t^4.18/y - t^4.18*y | detail |