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 |
|---|---|---|---|---|---|---|---|---|---|
| 2118 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_5$ + $ M_7\phi_1q_2^2$ | 0.6541 | 0.825 | 0.7928 | [X:[], M:[1.1748, 1.2168, 0.7412, 0.8252, 0.8252, 0.7412, 0.6992], q:[0.8042, 0.4546], qb:[0.3706, 0.8042], phi:[0.3916]] | [X:[], M:[[-6], [4], [-14], [6], [6], [-14], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_3$, $ M_6$, $ M_4$, $ M_5$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_7^2$, $ M_3M_7$, $ M_6M_7$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_4M_7$, $ M_5M_7$, $ M_3M_4$, $ M_3M_5$, $ M_4M_6$, $ M_5M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_1M_7$, $ M_3\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_1M_3$, $ M_1M_6$, $ M_2M_7$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_2M_3$, $ M_2M_6$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$ | $\phi_1\tilde{q}_2^2$ | -1 | t^2.1 + 2*t^2.22 + 2*t^2.48 + t^3.4 + t^3.52 + 2*t^3.65 + t^4.2 + 2*t^4.32 + 3*t^4.45 + 2*t^4.57 + 4*t^4.7 + t^4.83 + 3*t^4.95 + t^5.5 + 3*t^5.62 + 3*t^5.75 + 4*t^5.87 - t^6. + 2*t^6.13 - t^6.25 + t^6.29 + 2*t^6.42 + 3*t^6.54 + 6*t^6.67 + 5*t^6.8 + 7*t^6.92 + 5*t^7.05 + 4*t^7.17 + t^7.43 - t^7.55 + t^7.59 + 3*t^7.72 + 6*t^7.85 + 5*t^7.97 + 5*t^8.1 - 2*t^8.22 + 2*t^8.35 + t^8.39 - 5*t^8.48 + 2*t^8.52 + 3*t^8.64 - 3*t^8.73 + 6*t^8.77 + 10*t^8.89 - t^4.17/y - t^6.27/y - (2*t^6.4)/y - t^6.65/y + (2*t^7.32)/y + t^7.45/y + (2*t^7.57)/y + (5*t^7.7)/y + (3*t^7.95)/y + t^8.08/y - t^8.37/y - t^8.5/y + (3*t^8.75)/y + (4*t^8.87)/y - t^4.17*y - t^6.27*y - 2*t^6.4*y - t^6.65*y + 2*t^7.32*y + t^7.45*y + 2*t^7.57*y + 5*t^7.7*y + 3*t^7.95*y + t^8.08*y - t^8.37*y - t^8.5*y + 3*t^8.75*y + 4*t^8.87*y | t^2.1/g1^24 + (2*t^2.22)/g1^14 + 2*g1^6*t^2.48 + t^3.4/g1^16 + t^3.52/g1^6 + 2*g1^4*t^3.65 + t^4.2/g1^48 + (2*t^4.32)/g1^38 + (3*t^4.45)/g1^28 + (2*t^4.57)/g1^18 + (4*t^4.7)/g1^8 + g1^2*t^4.83 + 3*g1^12*t^4.95 + t^5.5/g1^40 + (3*t^5.62)/g1^30 + (3*t^5.75)/g1^20 + (4*t^5.87)/g1^10 - t^6. + 2*g1^10*t^6.13 - g1^20*t^6.25 + t^6.29/g1^72 + (2*t^6.42)/g1^62 + (3*t^6.54)/g1^52 + (6*t^6.67)/g1^42 + (5*t^6.8)/g1^32 + (7*t^6.92)/g1^22 + (5*t^7.05)/g1^12 + (4*t^7.17)/g1^2 + g1^18*t^7.43 - g1^28*t^7.55 + t^7.59/g1^64 + (3*t^7.72)/g1^54 + (6*t^7.85)/g1^44 + (5*t^7.97)/g1^34 + (5*t^8.1)/g1^24 - (2*t^8.22)/g1^14 + (2*t^8.35)/g1^4 + t^8.39/g1^96 - 5*g1^6*t^8.48 + (2*t^8.52)/g1^86 + (3*t^8.64)/g1^76 - 3*g1^26*t^8.73 + (6*t^8.77)/g1^66 + (10*t^8.89)/g1^56 - t^4.17/(g1^2*y) - t^6.27/(g1^26*y) - (2*t^6.4)/(g1^16*y) - (g1^4*t^6.65)/y + (2*t^7.32)/(g1^38*y) + t^7.45/(g1^28*y) + (2*t^7.57)/(g1^18*y) + (5*t^7.7)/(g1^8*y) + (3*g1^12*t^7.95)/y + (g1^22*t^8.08)/y - t^8.37/(g1^50*y) - t^8.5/(g1^40*y) + (3*t^8.75)/(g1^20*y) + (4*t^8.87)/(g1^10*y) - (t^4.17*y)/g1^2 - (t^6.27*y)/g1^26 - (2*t^6.4*y)/g1^16 - g1^4*t^6.65*y + (2*t^7.32*y)/g1^38 + (t^7.45*y)/g1^28 + (2*t^7.57*y)/g1^18 + (5*t^7.7*y)/g1^8 + 3*g1^12*t^7.95*y + g1^22*t^8.08*y - (t^8.37*y)/g1^50 - (t^8.5*y)/g1^40 + (3*t^8.75*y)/g1^20 + (4*t^8.87*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4102 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_5$ + $ M_7\phi_1q_2^2$ + $ M_1M_8$ | 0.6691 | 0.8502 | 0.787 | [X:[], M:[1.1775, 1.215, 0.7475, 0.8225, 0.8225, 0.7475, 0.71, 0.8225], q:[0.8037, 0.4487], qb:[0.3738, 0.8037], phi:[0.3925]] | t^2.13 + 2*t^2.24 + 3*t^2.47 + t^3.42 + 2*t^3.64 + t^4.26 + 2*t^4.37 + 3*t^4.49 + 3*t^4.6 + 6*t^4.71 + t^4.82 + 6*t^4.93 + t^5.55 + 2*t^5.66 + t^5.78 + 5*t^5.89 - 3*t^6. - t^4.18/y - t^4.18*y | detail | |
| 4101 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_5$ + $ M_7\phi_1q_2^2$ + $ M_6M_7$ | 0.5706 | 0.712 | 0.8013 | [X:[], M:[1.2632, 1.1579, 0.9474, 0.7368, 0.7368, 0.9474, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | 2*t^2.21 + 2*t^2.84 + t^3.16 + 2*t^3.47 + t^3.79 + t^4.11 + 3*t^4.42 + t^4.74 + 4*t^5.05 + t^5.37 + 5*t^5.68 + t^6. - t^4.26/y - t^4.26*y | detail | {a: 62619/109744, c: 39071/54872, M1: 24/19, M2: 22/19, M3: 18/19, M4: 14/19, M5: 14/19, M6: 18/19, M7: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
| 4100 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_5$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ | 0.5921 | 0.738 | 0.8024 | [X:[], M:[1.25, 1.1667, 0.9167, 0.75, 0.75, 0.9167, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 2*t^2.25 + 2*t^2.75 + t^3. + 2*t^3.5 + t^3.75 + t^4. + 3*t^4.5 + t^4.75 + 4*t^5. + 2*t^5.25 + 2*t^5.5 + 4*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 1819/3072, c: 2267/3072, M1: 5/4, M2: 7/6, M3: 11/12, M4: 3/4, M5: 3/4, M6: 11/12, M7: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1029 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_5$ | 0.6337 | 0.7854 | 0.8068 | [X:[], M:[1.1789, 1.214, 0.7509, 0.8211, 0.8211, 0.7509], q:[0.8035, 0.4456], qb:[0.3754, 0.8035], phi:[0.393]] | 2*t^2.25 + 2*t^2.46 + t^3.43 + t^3.54 + 2*t^3.64 + t^3.85 + 3*t^4.51 + 4*t^4.72 + t^4.82 + 3*t^4.93 + 2*t^5.68 + t^5.79 + 4*t^5.89 - t^6. - t^4.18/y - t^4.18*y | detail | {a: 68629/108300, c: 21266/27075, M1: 112/95, M2: 346/285, M3: 214/285, M4: 78/95, M5: 78/95, M6: 214/285, q1: 229/285, q2: 127/285, qb1: 107/285, qb2: 229/285, phi1: 112/285} |