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 |
|---|---|---|---|---|---|---|---|---|---|
| 1373 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6587 | 0.8471 | 0.7777 | [X:[], M:[0.7978, 1.2022, 0.7978, 0.6887, 1.1557, 1.1422, 0.7022], q:[0.75, 0.4522], qb:[0.4057, 0.3922], phi:[0.5]] | [X:[], M:[[1, 1], [-1, -1], [1, 1], [-2, 0], [1, 0], [0, 1], [-1, -1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_1$, $ M_3$, $ \phi_1^2$, $ M_6$, $ q_1\tilde{q}_2$, $ M_5$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_3M_4$, $ M_1M_7$, $ M_3M_7$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1q_1q_2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_4M_6$, $ M_4q_1\tilde{q}_2$, $ M_4M_5$, $ M_6M_7$, $ M_4q_1\tilde{q}_1$, $ M_7q_1\tilde{q}_2$, $ M_5M_7$, $ M_7q_1\tilde{q}_1$, $ M_1M_6$, $ M_3M_6$, $ M_3q_1\tilde{q}_2$, $ M_1M_5$, $ M_3M_5$, $ M_3q_1\tilde{q}_1$, $ M_4\phi_1\tilde{q}_2^2$ | . | -3 | t^2.07 + t^2.11 + 2*t^2.39 + t^3. + 2*t^3.43 + 2*t^3.47 + t^3.85 + t^4.03 + t^4.07 + t^4.13 + t^4.17 + 2*t^4.21 + 2*t^4.46 + 2*t^4.5 + 3*t^4.79 + t^5.07 + t^5.11 + 2*t^5.39 + 2*t^5.49 + 4*t^5.53 + 2*t^5.57 + 3*t^5.82 + 3*t^5.86 + t^5.92 - 3*t^6. - t^6.04 + t^6.1 + t^6.14 + t^6.2 + t^6.24 + 2*t^6.25 + 2*t^6.28 + 2*t^6.32 + 2*t^6.43 + 2*t^6.47 + 2*t^6.53 + 2*t^6.57 + 2*t^6.61 + 6*t^6.85 + 5*t^6.89 + 2*t^6.93 - t^7.03 - t^7.07 + t^7.13 + t^7.17 + 4*t^7.18 + t^7.21 + 2*t^7.28 - 2*t^7.36 + 2*t^7.46 + 2*t^7.5 + 2*t^7.56 + 4*t^7.6 + 4*t^7.64 + 2*t^7.68 + t^7.71 + 2*t^7.79 + 4*t^7.89 + 5*t^7.93 + t^7.97 + t^7.99 - 2*t^8.07 - 5*t^8.11 - t^8.15 + t^8.17 + 5*t^8.21 + 5*t^8.25 + t^8.26 + t^8.29 + t^8.3 + 2*t^8.31 + 2*t^8.35 - 4*t^8.39 + t^8.43 + 2*t^8.49 + 2*t^8.53 + 2*t^8.59 + 2*t^8.63 + 3*t^8.64 + 2*t^8.67 + 2*t^8.71 + 2*t^8.82 + 2*t^8.86 + 6*t^8.92 + 7*t^8.96 - t^4.5/y - t^6.57/y - t^6.61/y - t^6.89/y + t^7.03/y + t^7.07/y + t^7.17/y + (2*t^7.46)/y + (2*t^7.5)/y + t^7.79/y - t^7.93/y - t^7.97/y + t^8.07/y + (2*t^8.11)/y + (3*t^8.39)/y + t^8.43/y + (2*t^8.49)/y + (4*t^8.53)/y + (2*t^8.57)/y - t^8.63/y - t^8.67/y - t^8.71/y + (4*t^8.82)/y + (4*t^8.86)/y + t^8.92/y - t^4.5*y - t^6.57*y - t^6.61*y - t^6.89*y + t^7.03*y + t^7.07*y + t^7.17*y + 2*t^7.46*y + 2*t^7.5*y + t^7.79*y - t^7.93*y - t^7.97*y + t^8.07*y + 2*t^8.11*y + 3*t^8.39*y + t^8.43*y + 2*t^8.49*y + 4*t^8.53*y + 2*t^8.57*y - t^8.63*y - t^8.67*y - t^8.71*y + 4*t^8.82*y + 4*t^8.86*y + t^8.92*y | t^2.07/g1^2 + t^2.11/(g1*g2) + 2*g1*g2*t^2.39 + t^3. + 2*g2*t^3.43 + 2*g1*t^3.47 + g2^2*t^3.85 + t^4.03/g1 + t^4.07/g2 + t^4.13/g1^4 + t^4.17/(g1^3*g2) + (2*t^4.21)/(g1^2*g2^2) + (2*g2*t^4.46)/g1 + 2*t^4.5 + 3*g1^2*g2^2*t^4.79 + t^5.07/g1^2 + t^5.11/(g1*g2) + 2*g1*g2*t^5.39 + (2*g2*t^5.49)/g1^2 + (4*t^5.53)/g1 + (2*t^5.57)/g2 + 3*g1*g2^2*t^5.82 + 3*g1^2*g2*t^5.86 + (g2^2*t^5.92)/g1^2 - 3*t^6. - (g1*t^6.04)/g2 + t^6.1/g1^3 + t^6.14/(g1^2*g2) + t^6.2/g1^6 + t^6.24/(g1^5*g2) + 2*g1*g2^3*t^6.25 + (2*t^6.28)/(g1^4*g2^2) + (2*t^6.32)/(g1^3*g2^3) + 2*g2*t^6.43 + 2*g1*t^6.47 + (2*g2*t^6.53)/g1^3 + (2*t^6.57)/g1^2 + (2*t^6.61)/(g1*g2) + 6*g2^2*t^6.85 + 5*g1*g2*t^6.89 + 2*g1^2*t^6.93 - t^7.03/g1 - t^7.07/g2 + t^7.13/g1^4 + t^7.17/(g1^3*g2) + 4*g1^3*g2^3*t^7.18 + t^7.21/(g1^2*g2^2) + 2*g2^3*t^7.28 - 2*g1^2*g2*t^7.36 + (2*g2*t^7.46)/g1 + 2*t^7.5 + (2*g2*t^7.56)/g1^4 + (4*t^7.6)/g1^3 + (4*t^7.64)/(g1^2*g2) + (2*t^7.68)/(g1*g2^2) + g2^4*t^7.71 + 2*g1^2*g2^2*t^7.79 + (4*g2^2*t^7.89)/g1 + 5*g2*t^7.93 + g1*t^7.97 + (g2^2*t^7.99)/g1^4 - (2*t^8.07)/g1^2 - (5*t^8.11)/(g1*g2) - t^8.15/g2^2 + t^8.17/g1^5 + t^8.21/(g1^4*g2) + 4*g1^2*g2^3*t^8.21 + t^8.25/(g1^3*g2^2) + 4*g1^3*g2^2*t^8.25 + t^8.26/g1^8 + t^8.29/(g1^2*g2^3) + t^8.3/(g1^7*g2) + (2*g2^3*t^8.31)/g1 + (2*t^8.35)/(g1^6*g2^2) + (2*t^8.39)/(g1^5*g2^3) - 6*g1*g2*t^8.39 - 2*g1^2*t^8.43 + (3*t^8.43)/(g1^4*g2^4) + (2*g2*t^8.49)/g1^2 + (2*t^8.53)/g1 + (2*g2*t^8.59)/g1^5 + (2*t^8.63)/g1^4 + 3*g1^2*g2^4*t^8.64 + (2*t^8.67)/(g1^3*g2) + (2*t^8.71)/(g1^2*g2^2) + 2*g1*g2^2*t^8.82 + 2*g1^2*g2*t^8.86 + (6*g2^2*t^8.92)/g1^2 + (7*g2*t^8.96)/g1 - t^4.5/y - t^6.57/(g1^2*y) - t^6.61/(g1*g2*y) - (g1*g2*t^6.89)/y + t^7.03/(g1*y) + t^7.07/(g2*y) + t^7.17/(g1^3*g2*y) + (2*g2*t^7.46)/(g1*y) + (2*t^7.5)/y + (g1^2*g2^2*t^7.79)/y - (g2*t^7.93)/y - (g1*t^7.97)/y + t^8.07/(g1^2*y) + (2*t^8.11)/(g1*g2*y) + (3*g1*g2*t^8.39)/y + (g1^2*t^8.43)/y + (2*g2*t^8.49)/(g1^2*y) + (4*t^8.53)/(g1*y) + (2*t^8.57)/(g2*y) - t^8.63/(g1^4*y) - t^8.67/(g1^3*g2*y) - t^8.71/(g1^2*g2^2*y) + (4*g1*g2^2*t^8.82)/y + (4*g1^2*g2*t^8.86)/y + (g2^2*t^8.92)/(g1^2*y) - t^4.5*y - (t^6.57*y)/g1^2 - (t^6.61*y)/(g1*g2) - g1*g2*t^6.89*y + (t^7.03*y)/g1 + (t^7.07*y)/g2 + (t^7.17*y)/(g1^3*g2) + (2*g2*t^7.46*y)/g1 + 2*t^7.5*y + g1^2*g2^2*t^7.79*y - g2*t^7.93*y - g1*t^7.97*y + (t^8.07*y)/g1^2 + (2*t^8.11*y)/(g1*g2) + 3*g1*g2*t^8.39*y + g1^2*t^8.43*y + (2*g2*t^8.49*y)/g1^2 + (4*t^8.53*y)/g1 + (2*t^8.57*y)/g2 - (t^8.63*y)/g1^4 - (t^8.67*y)/(g1^3*g2) - (t^8.71*y)/(g1^2*g2^2) + 4*g1*g2^2*t^8.82*y + 4*g1^2*g2*t^8.86*y + (g2^2*t^8.92*y)/g1^2 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 881 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ | 0.6383 | 0.8085 | 0.7895 | [X:[], M:[0.7923, 1.2077, 0.7923, 0.6923, 1.1539, 1.1384], q:[0.75, 0.4577], qb:[0.4039, 0.3884], phi:[0.5]] | t^2.08 + 2*t^2.38 + t^3. + 2*t^3.42 + 2*t^3.46 + t^3.83 + t^3.88 + t^4.04 + t^4.08 + t^4.15 + t^4.25 + 2*t^4.45 + 3*t^4.75 + t^5.08 + 2*t^5.38 + 2*t^5.49 + 2*t^5.54 + 3*t^5.79 + 3*t^5.84 + t^5.91 - 3*t^6. - t^4.5/y - t^4.5*y | detail |