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 |
|---|---|---|---|---|---|---|---|---|---|
| 45233 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_2M_3$ | 1.7919 | 1.9149 | 0.9358 | [X:[], M:[0.7581, 0.8968, 1.1032], q:[0.5516, 0.4129], qb:[], phi:[0.3452]] | [X:[], M:[[5], [-2], [2]], q:[[1], [8]], qb:[], phi:[[-3]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_1$, $ q_2^2$, $ q_1q_2$, $ M_3$, $ q_1^2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_1q_2^2$, $ q_2^4$, $ \phi_1^2q_1q_2$, $ M_1q_1q_2$, $ q_1q_2^3$, $ M_3\phi_1^2$, $ \phi_1^2q_1^2$, $ M_1M_3$, $ M_1q_1^2$, $ M_3q_2^2$, $ q_1^2q_2^2$ | $2\phi_1^3q_1q_2$ | 0 | t^2.07 + t^2.27 + t^2.48 + t^2.89 + 2*t^3.31 + t^3.93 + 2*t^4.14 + t^4.35 + 3*t^4.55 + t^4.75 + t^4.95 + 2*t^4.96 + t^5.17 + t^5.37 + 3*t^5.38 + t^5.58 + 3*t^5.79 + 3*t^6.2 + 2*t^6.21 + t^6.41 + 6*t^6.62 + 4*t^6.82 - t^6.83 + 3*t^7.03 + 2*t^7.04 + t^7.23 + 4*t^7.24 + t^7.43 + 4*t^7.44 + 4*t^7.45 + t^7.64 + t^7.65 + t^7.85 + 8*t^7.86 + 2*t^8.06 + 3*t^8.26 + 4*t^8.27 + 3*t^8.28 + 2*t^8.48 - t^8.49 + 4*t^8.68 + 6*t^8.69 + t^8.88 + 2*t^8.89 - t^8.9 - t^4.04/y - t^5.27/y - t^5.69/y - (2*t^6.11)/y - t^6.31/y - t^6.51/y - t^6.93/y - (2*t^7.35)/y - t^7.76/y - t^8.17/y - (3*t^8.18)/y + t^8.37/y + t^8.38/y - (4*t^8.58)/y + t^8.79/y + t^8.8/y - t^8.99/y - t^4.04*y - t^5.27*y - t^5.69*y - 2*t^6.11*y - t^6.31*y - t^6.51*y - t^6.93*y - 2*t^7.35*y - t^7.76*y - t^8.17*y - 3*t^8.18*y + t^8.37*y + t^8.38*y - 4*t^8.58*y + t^8.79*y + t^8.8*y - t^8.99*y | t^2.07/g1^6 + g1^5*t^2.27 + g1^16*t^2.48 + g1^9*t^2.89 + 2*g1^2*t^3.31 + g1^6*t^3.93 + (2*t^4.14)/g1^12 + t^4.35/g1 + 3*g1^10*t^4.55 + g1^21*t^4.75 + g1^32*t^4.95 + 2*g1^3*t^4.96 + g1^14*t^5.17 + g1^25*t^5.37 + (3*t^5.38)/g1^4 + g1^7*t^5.58 + 3*g1^18*t^5.79 + 3*g1^11*t^6.2 + (2*t^6.21)/g1^18 + g1^22*t^6.41 + 6*g1^4*t^6.62 + 4*g1^15*t^6.82 - t^6.83/g1^14 + 3*g1^26*t^7.03 + (2*t^7.04)/g1^3 + g1^37*t^7.23 + 4*g1^8*t^7.24 + g1^48*t^7.43 + 4*g1^19*t^7.44 + (4*t^7.45)/g1^10 + g1^30*t^7.64 + g1*t^7.65 + g1^41*t^7.85 + 8*g1^12*t^7.86 + 2*g1^23*t^8.06 + 3*g1^34*t^8.26 + 4*g1^5*t^8.27 + (3*t^8.28)/g1^24 + 2*g1^16*t^8.48 - t^8.49/g1^13 + 4*g1^27*t^8.68 + (6*t^8.69)/g1^2 + g1^38*t^8.88 + 2*g1^9*t^8.89 - t^8.9/g1^20 - t^4.04/(g1^3*y) - (g1^5*t^5.27)/y - t^5.69/(g1^2*y) - (2*t^6.11)/(g1^9*y) - (g1^2*t^6.31)/y - (g1^13*t^6.51)/y - (g1^6*t^6.93)/y - (2*t^7.35)/(g1*y) - t^7.76/(g1^8*y) - (g1^14*t^8.17)/y - (3*t^8.18)/(g1^15*y) + (g1^25*t^8.37)/y + t^8.38/(g1^4*y) - (4*g1^7*t^8.58)/y + (g1^18*t^8.79)/y + t^8.8/(g1^11*y) - (g1^29*t^8.99)/y - (t^4.04*y)/g1^3 - g1^5*t^5.27*y - (t^5.69*y)/g1^2 - (2*t^6.11*y)/g1^9 - g1^2*t^6.31*y - g1^13*t^6.51*y - g1^6*t^6.93*y - (2*t^7.35*y)/g1 - (t^7.76*y)/g1^8 - g1^14*t^8.17*y - (3*t^8.18*y)/g1^15 + g1^25*t^8.37*y + (t^8.38*y)/g1^4 - 4*g1^7*t^8.58*y + g1^18*t^8.79*y + (t^8.8*y)/g1^11 - g1^29*t^8.99*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 45374 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_2M_3$ + $ M_4\phi_1^2$ | 1.7712 | 1.8752 | 0.9446 | [X:[], M:[0.7571, 0.8972, 1.1028, 1.3085], q:[0.5514, 0.4114], qb:[], phi:[0.3457]] | t^2.27 + t^2.47 + t^2.89 + 2*t^3.31 + 2*t^3.93 + t^4.15 + 2*t^4.54 + t^4.74 + t^4.94 + t^4.96 + t^5.16 + t^5.36 + t^5.38 + t^5.58 + 3*t^5.78 - t^6. - t^4.04/y - t^5.27/y - t^5.69/y - t^4.04*y - t^5.27*y - t^5.69*y | detail | |
| 45369 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_2M_3$ + $ q_1q_2^3$ + $ \phi_1^2X_1$ | 1.7565 | 1.8465 | 0.9513 | [X:[1.36], M:[0.8, 0.88, 1.12], q:[0.56, 0.48], qb:[], phi:[0.32]] | t^2.4 + t^2.88 + t^3.12 + 2*t^3.36 + t^3.84 + 2*t^4.08 + 2*t^4.8 + t^5.04 + 2*t^5.28 + t^5.52 + 2*t^5.76 - t^3.96/y - t^5.4/y - t^5.64/y - t^5.88/y - t^3.96*y - t^5.4*y - t^5.64*y - t^5.88*y | detail | {a: 54891/31250, c: 115407/62500, X1: 34/25, M1: 4/5, M2: 22/25, M3: 28/25, q1: 14/25, q2: 12/25, phi1: 8/25} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45057 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ | 1.8013 | 1.9303 | 0.9332 | [X:[], M:[0.76, 0.896], q:[0.552, 0.416], qb:[], phi:[0.344]] | t^2.06 + t^2.28 + t^2.5 + t^2.69 + t^2.9 + t^3.31 + t^3.94 + 2*t^4.13 + t^4.34 + 3*t^4.56 + t^4.75 + t^4.78 + 3*t^4.97 + t^4.99 + 2*t^5.18 + 3*t^5.38 + t^5.4 + t^5.59 + 2*t^5.81 + t^6. - t^4.03/y - t^5.28/y - t^5.69/y - t^4.03*y - t^5.28*y - t^5.69*y | detail |