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 |
|---|---|---|---|---|---|---|---|---|---|
| 45237 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_4\phi_1^2q_2$ | 1.8443 | 1.9918 | 0.926 | [X:[], M:[1.0782, 0.7188, 0.8203, 0.8203], q:[0.4609, 0.4609], qb:[], phi:[0.3594]] | [X:[], M:[[-3, -3], [-2, -2], [-1, 2], [2, -1]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_4$, $ M_3$, $ q_1^2$, $ q_2^2$, $ M_1$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_2M_3$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_4\phi_1^2$, $ M_4^2$, $ M_2q_1^2$, $ \phi_1^2q_1^2$, $ M_3M_4$, $ \phi_1^2q_1q_2$, $ M_3^2$, $ M_2q_2^2$, $ \phi_1^2q_2^2$, $ M_4q_1^2$, $ M_3q_1^2$, $ M_4q_2^2$, $ M_3q_2^2$, $ M_1M_2$, $ M_1\phi_1^2$, $ q_1^4$, $ q_1^2q_2^2$, $ q_2^4$, $ M_1M_4$, $ M_1M_3$ | $\phi_1^3q_1q_2$ | -1 | 2*t^2.16 + 2*t^2.46 + 2*t^2.77 + t^3.23 + 4*t^4.31 + 4*t^4.62 + 10*t^4.92 + 4*t^5.23 + 2*t^5.39 + 3*t^5.53 + 2*t^5.7 - t^6. + 7*t^6.47 + 6*t^6.77 + 17*t^7.08 + 18*t^7.38 + 4*t^7.55 + 17*t^7.69 + 4*t^7.85 + 6*t^7.99 + t^8.16 + 4*t^8.3 - 4*t^8.46 + 11*t^8.63 - 6*t^8.77 + 10*t^8.93 - t^4.08/y - (2*t^5.46)/y - (3*t^6.23)/y - (2*t^6.54)/y - (2*t^6.84)/y + (2*t^7.92)/y - (4*t^8.39)/y + t^8.53/y - (4*t^8.7)/y - t^4.08*y - 2*t^5.46*y - 3*t^6.23*y - 2*t^6.54*y - 2*t^6.84*y + 2*t^7.92*y - 4*t^8.39*y + t^8.53*y - 4*t^8.7*y | (2*t^2.16)/(g1^2*g2^2) + (g1^2*t^2.46)/g2 + (g2^2*t^2.46)/g1 + g1^6*t^2.77 + g2^6*t^2.77 + t^3.23/(g1^3*g2^3) + (4*t^4.31)/(g1^4*g2^4) + (2*t^4.62)/g1^3 + (2*t^4.62)/g2^3 + (4*g1^4*t^4.92)/g2^2 + 2*g1*g2*t^4.92 + (4*g2^4*t^4.92)/g1^2 + (g1^8*t^5.23)/g2 + g1^5*g2^2*t^5.23 + g1^2*g2^5*t^5.23 + (g2^8*t^5.23)/g1 + (2*t^5.39)/(g1^5*g2^5) + g1^12*t^5.53 + g1^6*g2^6*t^5.53 + g2^12*t^5.53 + t^5.7/(g1*g2^4) + t^5.7/(g1^4*g2) - t^6. + (7*t^6.47)/(g1^6*g2^6) + (3*t^6.77)/(g1^2*g2^5) + (3*t^6.77)/(g1^5*g2^2) + (7*g1^2*t^7.08)/g2^4 + (3*t^7.08)/(g1*g2) + (7*g2^2*t^7.08)/g1^4 + 5*g1^3*t^7.38 + (4*g1^6*t^7.38)/g2^3 + 5*g2^3*t^7.38 + (4*g2^6*t^7.38)/g1^3 + (4*t^7.55)/(g1^7*g2^7) + (4*g1^10*t^7.69)/g2^2 + 2*g1^7*g2*t^7.69 + 5*g1^4*g2^4*t^7.69 + 2*g1*g2^7*t^7.69 + (4*g2^10*t^7.69)/g1^2 + (2*t^7.85)/(g1^3*g2^6) + (2*t^7.85)/(g1^6*g2^3) + (g1^14*t^7.99)/g2 + g1^11*g2^2*t^7.99 + g1^8*g2^5*t^7.99 + g1^5*g2^8*t^7.99 + g1^2*g2^11*t^7.99 + (g2^14*t^7.99)/g1 + (g1*t^8.16)/g2^5 - t^8.16/(g1^2*g2^2) + (g2*t^8.16)/g1^5 + g1^18*t^8.3 + g1^12*g2^6*t^8.3 + g1^6*g2^12*t^8.3 + g2^18*t^8.3 - (2*g1^2*t^8.46)/g2 - (2*g2^2*t^8.46)/g1 + (11*t^8.63)/(g1^8*g2^8) - 2*g1^6*t^8.77 - 2*g1^3*g2^3*t^8.77 - 2*g2^6*t^8.77 + (5*t^8.93)/(g1^4*g2^7) + (5*t^8.93)/(g1^7*g2^4) - t^4.08/(g1*g2*y) - (g1^2*t^5.46)/(g2*y) - (g2^2*t^5.46)/(g1*y) - (3*t^6.23)/(g1^3*g2^3*y) - (g1*t^6.54)/(g2^2*y) - (g2*t^6.54)/(g1^2*y) - (g1^5*t^6.84)/(g2*y) - (g2^5*t^6.84)/(g1*y) + (g1^4*t^7.92)/(g2^2*y) + (g2^4*t^7.92)/(g1^2*y) - (4*t^8.39)/(g1^5*g2^5*y) + (g1^6*g2^6*t^8.53)/y - (2*t^8.7)/(g1*g2^4*y) - (2*t^8.7)/(g1^4*g2*y) - (t^4.08*y)/(g1*g2) - (g1^2*t^5.46*y)/g2 - (g2^2*t^5.46*y)/g1 - (3*t^6.23*y)/(g1^3*g2^3) - (g1*t^6.54*y)/g2^2 - (g2*t^6.54*y)/g1^2 - (g1^5*t^6.84*y)/g2 - (g2^5*t^6.84*y)/g1 + (g1^4*t^7.92*y)/g2^2 + (g2^4*t^7.92*y)/g1^2 - (4*t^8.39*y)/(g1^5*g2^5) + g1^6*g2^6*t^8.53*y - (2*t^8.7*y)/(g1*g2^4) - (2*t^8.7*y)/(g1^4*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 45314 | $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_4\phi_1^2q_2$ + $ M_3q_2^2$ | 1.8199 | 1.9661 | 0.9257 | [X:[], M:[1.0135, 0.6757, 0.8919, 0.7703], q:[0.4324, 0.5541], qb:[], phi:[0.3378]] | 2*t^2.03 + t^2.31 + t^2.59 + t^2.68 + t^3.04 + t^3.32 + 4*t^4.05 + 2*t^4.34 + 4*t^4.62 + 2*t^4.7 + t^4.91 + 2*t^4.99 + 2*t^5.07 + t^5.19 + t^5.27 + 5*t^5.35 + t^5.64 + t^5.72 + t^5.92 - t^4.01/y - t^5.31/y - t^5.68/y - t^4.01*y - t^5.31*y - t^5.68*y | detail | |
| 45262 | $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_4\phi_1^2q_2$ + $ M_5q_2^2$ | 1.8401 | 1.9862 | 0.9264 | [X:[], M:[1.0515, 0.701, 0.8445, 0.805, 1.0119], q:[0.4545, 0.494], qb:[], phi:[0.3505]] | 2*t^2.1 + t^2.41 + t^2.53 + t^2.73 + t^3.04 + t^3.15 + 4*t^4.21 + 2*t^4.52 + 2*t^4.64 + 4*t^4.83 + 2*t^4.95 + 2*t^5.07 + 3*t^5.14 + 3*t^5.26 + 2*t^5.45 + 2*t^5.57 + t^5.69 + t^5.76 - t^6. - t^4.05/y - t^5.41/y - t^5.53/y - t^4.05*y - t^5.41*y - t^5.53*y | detail | |
| 45331 | $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_4\phi_1^2q_2$ + $ q_2^4$ | 1.84 | 1.9868 | 0.9261 | [X:[], M:[1.0467, 0.6978, 0.8489, 0.8022], q:[0.4533, 0.5], qb:[], phi:[0.3489]] | 2*t^2.09 + t^2.41 + t^2.55 + t^2.72 + t^3. + t^3.14 + 4*t^4.19 + 2*t^4.5 + 2*t^4.64 + 4*t^4.81 + 2*t^4.95 + 4*t^5.09 + t^5.13 + 2*t^5.23 + t^5.27 + t^5.41 + t^5.44 + 2*t^5.55 + t^5.69 + t^5.72 - t^4.05/y - t^5.41/y - t^5.55/y - t^4.05*y - t^5.41*y - t^5.55*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 |
|---|---|---|---|---|---|---|---|---|---|
| 44984 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ | 1.8293 | 1.966 | 0.9305 | [X:[], M:[1.0749, 0.7166, 0.8137], q:[0.4697, 0.4554], qb:[], phi:[0.3583]] | 2*t^2.15 + t^2.44 + t^2.73 + t^2.82 + t^3.22 + t^3.52 + 4*t^4.3 + 2*t^4.59 + 4*t^4.88 + t^4.93 + 3*t^4.97 + t^5.17 + t^5.26 + 2*t^5.37 + t^5.47 + t^5.55 + t^5.64 + 3*t^5.67 + t^5.96 - t^6. - t^4.07/y - t^5.44/y - t^5.48/y - t^4.07*y - t^5.44*y - t^5.48*y | detail |