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 |
|---|---|---|---|---|---|---|---|---|---|
| 235 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6484 | 0.7955 | 0.8151 | [X:[], M:[1.2971, 0.7005, 0.7076, 0.6981], q:[0.8243, 0.8243], qb:[0.4752, 0.4705], phi:[0.3514]] | [X:[], M:[[4, 4], [-7, -1], [2, -10], [-10, 2]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_4^2$, $ M_2^2$, $ M_2M_4$, $ M_2M_3$, $ M_3M_4$, $ M_3^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_1M_2$, $ M_4q_2\tilde{q}_1$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_2q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | $M_2q_2\tilde{q}_1$ | -2 | t^2.09 + t^2.1 + t^2.12 + t^2.84 + 2*t^3.88 + 2*t^3.89 + t^3.9 + t^4.19 + 2*t^4.2 + 2*t^4.22 + t^4.25 + t^4.93 + t^4.94 + t^4.95 + t^4.96 + t^5.67 + 2*t^5.98 + 4*t^5.99 - 2*t^6. + t^6.01 + t^6.02 + t^6.28 + t^6.29 + 2*t^6.3 + t^6.31 + t^6.32 + t^6.33 + t^6.34 + t^6.35 + t^6.37 + 2*t^6.72 + 2*t^6.73 + t^6.74 + 2*t^7.03 + t^7.04 - 2*t^7.05 - t^7.06 + t^7.08 + 3*t^7.77 + 6*t^7.78 + t^7.8 + 2*t^8.07 + 3*t^8.08 - 2*t^8.1 + t^8.11 - 2*t^8.12 + 2*t^8.14 + 2*t^8.38 + t^8.39 + t^8.4 + 3*t^8.41 + t^8.42 + 2*t^8.43 + t^8.44 + t^8.45 + t^8.46 + t^8.47 + t^8.49 + t^8.51 + 4*t^8.82 + t^8.83 - 3*t^8.84 + t^8.86 - t^4.05/y - t^6.15/y - t^6.16/y - t^6.18/y + t^7.2/y + (2*t^7.22)/y + (2*t^7.93)/y + t^7.94/y + t^7.95/y + (2*t^7.96)/y - t^8.24/y - t^8.25/y - t^8.26/y - t^8.27/y - t^8.28/y - t^8.3/y + (2*t^8.98)/y + (7*t^8.99)/y - t^4.05*y - t^6.15*y - t^6.16*y - t^6.18*y + t^7.2*y + 2*t^7.22*y + 2*t^7.93*y + t^7.94*y + t^7.95*y + 2*t^7.96*y - t^8.24*y - t^8.25*y - t^8.26*y - t^8.27*y - t^8.28*y - t^8.3*y + 2*t^8.98*y + 7*t^8.99*y | (g2^2*t^2.09)/g1^10 + t^2.1/(g1^7*g2) + (g1^2*t^2.12)/g2^10 + g1^6*g2^6*t^2.84 + 2*g1*g2^7*t^3.88 + 2*g1^4*g2^4*t^3.89 + g1^7*g2*t^3.9 + (g2^4*t^4.19)/g1^20 + t^4.2/(g1^14*g2^2) + (g2*t^4.2)/g1^17 + t^4.22/(g1^5*g2^11) + t^4.22/(g1^8*g2^8) + (g1^4*t^4.25)/g2^20 + (g2^8*t^4.93)/g1^4 + (g2^5*t^4.94)/g1 + g1^2*g2^2*t^4.95 + (g1^8*t^4.96)/g2^4 + g1^12*g2^12*t^5.67 + (2*g2^9*t^5.98)/g1^9 + (g2^3*t^5.99)/g1^3 + (3*g2^6*t^5.99)/g1^6 - 2*t^6. + (g1^6*t^6.01)/g2^6 + (g1^9*t^6.02)/g2^9 + (g2^6*t^6.28)/g1^30 + (g2^3*t^6.29)/g1^27 + t^6.3/g1^24 + t^6.3/(g1^21*g2^3) + t^6.31/(g1^18*g2^6) + t^6.32/(g1^15*g2^9) + t^6.33/(g1^12*g2^12) + t^6.34/(g1^6*g2^18) + t^6.35/(g1^3*g2^21) + (g1^6*t^6.37)/g2^30 + 2*g1^7*g2^13*t^6.72 + 2*g1^10*g2^10*t^6.73 + g1^13*g2^7*t^6.74 + (g2^7*t^7.03)/g1^11 + (g2^10*t^7.03)/g1^14 + (g2^4*t^7.04)/g1^8 - t^7.05/(g1^2*g2^2) - (g2*t^7.05)/g1^5 - (g1*t^7.06)/g2^5 + (g1^10*t^7.08)/g2^14 + 3*g1^2*g2^14*t^7.77 + 3*g1^8*g2^8*t^7.78 + 3*g1^5*g2^11*t^7.78 + g1^14*g2^2*t^7.8 + (2*g2^11*t^8.07)/g1^19 + (3*g2^8*t^8.08)/g1^16 - (2*g2^2*t^8.09)/g1^10 + (2*g2^5*t^8.09)/g1^13 - (2*t^8.1)/(g1^7*g2) + t^8.11/(g1^4*g2^4) - (2*g1^2*t^8.12)/g2^10 + (g1^11*t^8.14)/g2^19 + (g1^8*t^8.14)/g2^16 + (g2^5*t^8.38)/g1^37 + (g2^8*t^8.38)/g1^40 + (g2^2*t^8.39)/g1^34 + t^8.4/(g1^31*g2) + t^8.41/(g1^25*g2^7) + (2*t^8.41)/(g1^28*g2^4) + t^8.42/(g1^22*g2^10) + t^8.43/(g1^16*g2^16) + t^8.43/(g1^19*g2^13) + t^8.44/(g1^13*g2^19) + t^8.45/(g1^10*g2^22) + t^8.46/(g1^4*g2^28) + t^8.47/(g1*g2^31) + (g1^8*t^8.49)/g2^40 + g1^18*g2^18*t^8.51 + 2*g2^12*t^8.82 + (2*g2^15*t^8.82)/g1^3 + g1^3*g2^9*t^8.83 - g1^9*g2^3*t^8.84 - 2*g1^6*g2^6*t^8.84 + (g1^15*t^8.86)/g2^3 - t^4.05/(g1^2*g2^2*y) - t^6.15/(g1^12*y) - t^6.16/(g1^9*g2^3*y) - t^6.18/(g2^12*y) + (g2*t^7.2)/(g1^17*y) + t^7.22/(g1^5*g2^11*y) + t^7.22/(g1^8*g2^8*y) + (2*g2^8*t^7.93)/(g1^4*y) + (g2^5*t^7.94)/(g1*y) + (g1^5*t^7.95)/(g2*y) + (2*g1^8*t^7.96)/(g2^4*y) - (g2^2*t^8.24)/(g1^22*y) - t^8.25/(g1^19*g2*y) - t^8.26/(g1^16*g2^4*y) - t^8.27/(g1^10*g2^10*y) - t^8.28/(g1^7*g2^13*y) - (g1^2*t^8.3)/(g2^22*y) + (2*g2^9*t^8.98)/(g1^9*y) + (3*g2^3*t^8.99)/(g1^3*y) + (4*g2^6*t^8.99)/(g1^6*y) - (t^4.05*y)/(g1^2*g2^2) - (t^6.15*y)/g1^12 - (t^6.16*y)/(g1^9*g2^3) - (t^6.18*y)/g2^12 + (g2*t^7.2*y)/g1^17 + (t^7.22*y)/(g1^5*g2^11) + (t^7.22*y)/(g1^8*g2^8) + (2*g2^8*t^7.93*y)/g1^4 + (g2^5*t^7.94*y)/g1 + (g1^5*t^7.95*y)/g2 + (2*g1^8*t^7.96*y)/g2^4 - (g2^2*t^8.24*y)/g1^22 - (t^8.25*y)/(g1^19*g2) - (t^8.26*y)/(g1^16*g2^4) - (t^8.27*y)/(g1^10*g2^10) - (t^8.28*y)/(g1^7*g2^13) - (g1^2*t^8.3*y)/g2^22 + (2*g2^9*t^8.98*y)/g1^9 + (3*g2^3*t^8.99*y)/g1^3 + (4*g2^6*t^8.99*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 378 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_3M_5$ | 0.6283 | 0.7599 | 0.8268 | [X:[], M:[1.2867, 0.7014, 0.7373, 0.6894, 1.2627], q:[0.8217, 0.8217], qb:[0.477, 0.453], phi:[0.3567]] | t^2.07 + t^2.1 + t^2.79 + t^3.79 + 2*t^3.82 + 2*t^3.86 + t^3.9 + t^4.14 + t^4.17 + t^4.21 + t^4.86 + t^4.89 + t^4.93 + t^5.58 + t^5.86 + 3*t^5.89 + 3*t^5.93 + t^5.96 - 2*t^6. - t^4.07/y - t^4.07*y | detail | |
| 1753 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_2\tilde{q}_1$ | 0.6689 | 0.8351 | 0.801 | [X:[], M:[1.3008, 0.6951, 0.7072, 0.6911, 0.6951], q:[0.8252, 0.8252], qb:[0.4797, 0.4716], phi:[0.3496]] | t^2.07 + 2*t^2.09 + t^2.12 + t^2.85 + 2*t^3.89 + 2*t^3.9 + t^4.15 + 2*t^4.16 + 3*t^4.17 + t^4.2 + 2*t^4.21 + t^4.24 + t^4.93 + 2*t^4.94 + t^4.95 + t^4.98 + t^5.71 + 2*t^5.96 + 5*t^5.98 + 2*t^5.99 - 3*t^6. - t^4.05/y - t^4.05*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 |
|---|---|---|---|---|---|---|---|---|---|
| 143 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.628 | 0.7571 | 0.8294 | [X:[], M:[1.2913, 0.7124, 0.7014], q:[0.8228, 0.8228], qb:[0.4648, 0.4721], phi:[0.3544]] | t^2.1 + t^2.14 + t^2.81 + t^3.85 + t^3.86 + 2*t^3.87 + 2*t^3.88 + t^4.21 + t^4.24 + t^4.27 + t^4.92 + t^4.94 + t^4.95 + t^5.62 + t^5.96 + t^5.97 + t^5.98 + t^5.99 - 2*t^6. - t^4.06/y - t^4.06*y | detail |