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 |
|---|---|---|---|---|---|---|---|---|---|
| 46410 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9817, 0.896, 1.0183, 1.0959, 0.9121, 0.7898], q:[0.4561, 0.5623], qb:[0.648, 0.5256], phi:[0.452]] | [X:[], M:[[-4, 0, 4], [4, -4, 4], [4, 0, -4], [2, 2, 2], [-8, 0, -8], [-8, -4, 0]], q:[[-4, 0, -4], [8, 0, 0]], qb:[[0, 4, 0], [0, 0, 8]], phi:[[-1, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_5$, $ M_1$, $ M_3$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_5M_6$, $ \phi_1\tilde{q}_1^2$, $ M_1M_6$, $ M_2^2$, $ M_2M_5$, $ M_3M_6$, $ M_5^2$, $ M_4M_6$, $ M_1^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_2M_4$ | . | -3 | t^2.37 + t^2.69 + t^2.74 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.09 + t^4.3 + t^4.41 + t^4.51 + t^4.62 + t^4.67 + t^4.73 + t^4.74 + t^4.88 + t^4.99 + t^5.06 + t^5.11 + t^5.24 + t^5.31 + t^5.38 + t^5.42 + t^5.47 + t^5.66 + t^5.89 + t^5.98 - 3*t^6. + t^6.02 + t^6.23 - t^6.32 + t^6.34 - t^6.37 + t^6.46 + t^6.47 + t^6.67 + t^6.78 + t^6.81 + t^6.83 + t^6.88 + t^6.99 + 3*t^7.04 + t^7.1 + t^7.11 + t^7.15 + t^7.2 + 2*t^7.25 + t^7.31 + t^7.36 + t^7.4 + t^7.42 + t^7.43 + t^7.45 + t^7.47 + t^7.48 + t^7.56 + 2*t^7.61 + t^7.67 + t^7.68 + t^7.75 + t^7.78 + t^7.79 + t^7.82 + t^7.84 + t^7.98 + 2*t^8.03 + t^8.06 + t^8.11 + 2*t^8.19 + t^8.21 + t^8.26 + t^8.35 - 4*t^8.37 + 2*t^8.39 + t^8.4 - t^8.48 + t^8.5 - t^8.58 + 2*t^8.6 + t^8.66 - 4*t^8.69 + 2*t^8.71 - 5*t^8.74 + 3*t^8.76 - t^8.8 + t^8.81 + t^8.82 + 2*t^8.83 + t^8.92 - 4*t^8.94 + t^8.97 - t^4.36/y - t^6.73/y - t^7.04/y - t^7.09/y + t^7.62/y + t^7.67/y + t^7.99/y + t^8.06/y + t^8.11/y + t^8.31/y + (2*t^8.42)/y + t^8.63/y + t^8.66/y + t^8.68/y + t^8.74/y + t^8.79/y + t^8.89/y + t^8.98/y - t^4.36*y - t^6.73*y - t^7.04*y - t^7.09*y + t^7.62*y + t^7.67*y + t^7.99*y + t^8.06*y + t^8.11*y + t^8.31*y + 2*t^8.42*y + t^8.63*y + t^8.66*y + t^8.68*y + t^8.74*y + t^8.79*y + t^8.89*y + t^8.98*y | t^2.37/(g1^8*g2^4) + (g1^4*g3^4*t^2.69)/g2^4 + t^2.74/(g1^8*g3^8) + (g3^4*t^2.94)/g1^4 + (g1^4*t^3.06)/g3^4 + g1^2*g2^2*g3^2*t^3.29 + g2^4*g3^8*t^3.52 + t^4.09/(g1^9*g2*g3^9) + (g3^3*t^4.3)/(g1^5*g2) + (g1^3*t^4.41)/(g2*g3^5) + (g3^15*t^4.51)/(g1*g2) + (g1^7*g3^7*t^4.62)/g2 + (g2^3*t^4.67)/(g1^5*g3^5) + (g1^15*t^4.73)/(g2*g3) + t^4.74/(g1^16*g2^8) + (g2^3*g3^7*t^4.88)/g1 + (g1^7*g2^3*t^4.99)/g3 + (g3^4*t^5.06)/(g1^4*g2^8) + t^5.11/(g1^16*g2^4*g3^8) + (g2^7*t^5.24)/(g1*g3) + (g3^4*t^5.31)/(g1^12*g2^4) + (g1^8*g3^8*t^5.38)/g2^8 + t^5.42/(g1^4*g2^4*g3^4) + t^5.47/(g1^16*g3^16) + (g3^2*t^5.66)/(g1^6*g2^2) + (g3^8*t^5.89)/g1^8 + (g1^6*g3^6*t^5.98)/g2^2 - 3*t^6. + (g2^2*t^6.02)/(g1^6*g3^6) + (g2^2*g3^6*t^6.23)/g1^2 - g1^12*g3^4*t^6.32 + (g1^6*g2^2*t^6.34)/g3^2 - (g2^4*t^6.37)/g3^8 + t^6.46/(g1^17*g2^5*g3^9) + (g2^4*g3^12*t^6.47)/g1^4 + (g3^3*t^6.67)/(g1^13*g2^5) + t^6.78/(g1^5*g2^5*g3^5) + g1^2*g2^6*g3^10*t^6.81 + t^6.83/(g1^17*g2*g3^17) + (g3^15*t^6.88)/(g1^9*g2^5) + (g3^7*t^6.99)/(g1*g2^5) + (2*t^7.04)/(g1^13*g2*g3^5) + g2^8*g3^16*t^7.04 + (g1^7*t^7.1)/(g2^5*g3) + t^7.11/(g1^24*g2^12) + t^7.15/(g1^5*g2*g3^13) + (g1^3*g3^19*t^7.2)/g2^5 + (2*g3^7*t^7.25)/(g1^9*g2) + (g1^11*g3^11*t^7.31)/g2^5 + t^7.36/(g1*g2*g3) + (g2^3*t^7.4)/(g1^13*g3^13) + (g1^19*g3^3*t^7.42)/g2^5 + (g3^4*t^7.43)/(g1^12*g2^12) + (g3^19*t^7.45)/(g1^5*g2) + (g1^7*t^7.47)/(g2*g3^9) + t^7.48/(g1^24*g2^8*g3^8) + (g1^3*g3^11*t^7.56)/g2 + (2*g2^3*t^7.61)/(g1^9*g3) + (g1^11*g3^3*t^7.67)/g2 + (g3^4*t^7.68)/(g1^20*g2^8) + (g3^8*t^7.75)/g2^12 + (g1^19*t^7.78)/(g2*g3^5) + t^7.79/(g1^12*g2^8*g3^4) + (g2^3*g3^11*t^7.82)/g1^5 + t^7.84/(g1^24*g2^4*g3^16) + (g2^7*t^7.98)/(g1^9*g3^9) + (g3^2*t^8.03)/(g1^14*g2^6) + (g2^3*g3^23*t^8.03)/g1 + (g1^12*g3^12*t^8.06)/g2^12 + t^8.11/g2^8 + t^8.19/(g1^18*g2^2*g3^18) + (g2^7*g3^3*t^8.19)/g1^5 + t^8.21/(g1^24*g3^24) + (g3^8*t^8.26)/(g1^16*g2^4) + (g3^6*t^8.35)/(g1^2*g2^6) - (4*t^8.37)/(g1^8*g2^4) + (2*t^8.39)/(g1^14*g2^2*g3^6) + (g2^7*g3^15*t^8.4)/g1 - t^8.48/(g2^4*g3^8) + t^8.5/(g1^6*g2^2*g3^14) - (g3^12*t^8.58)/(g1^4*g2^4) + (2*g3^6*t^8.6)/(g1^10*g2^2) + (g1^10*g3^10*t^8.66)/g2^6 - (4*g1^4*g3^4*t^8.69)/g2^4 + (2*t^8.71)/(g1^2*g2^2*g3^2) - (5*t^8.74)/(g1^8*g3^8) + (2*g2^2*t^8.76)/(g1^14*g3^14) + (g2^11*g3^7*t^8.76)/g1 - (g1^12*t^8.8)/(g2^4*g3^4) + (g3^18*t^8.81)/(g1^6*g2^2) + (g1^6*t^8.82)/(g2^2*g3^10) + t^8.83/(g1^25*g2^9*g3^9) + (g3^12*t^8.83)/g1^12 + (g1^2*g3^10*t^8.92)/g2^2 - (4*g3^4*t^8.94)/g1^4 + (g2^2*t^8.97)/(g1^10*g3^2) - t^4.36/(g1*g2*g3*y) - t^6.73/(g1^9*g2^5*g3*y) - (g1^3*g3^3*t^7.04)/(g2^5*y) - t^7.09/(g1^9*g2*g3^9*y) + (g1^7*g3^7*t^7.62)/(g2*y) + (g2^3*t^7.67)/(g1^5*g3^5*y) + (g1^7*g2^3*t^7.99)/(g3*y) + (g3^4*t^8.06)/(g1^4*g2^8*y) + t^8.11/(g1^16*g2^4*g3^8*y) + (g3^4*t^8.31)/(g1^12*g2^4*y) + (2*t^8.42)/(g1^4*g2^4*g3^4*y) + (g3^8*t^8.63)/(g2^4*y) + (g3^2*t^8.66)/(g1^6*g2^2*y) + t^8.68/(g1^12*g3^4*y) + (g1^8*t^8.74)/(g2^4*y) + t^8.79/(g1^4*g3^12*y) + (g3^8*t^8.89)/(g1^8*y) + (g1^6*g3^6*t^8.98)/(g2^2*y) - (t^4.36*y)/(g1*g2*g3) - (t^6.73*y)/(g1^9*g2^5*g3) - (g1^3*g3^3*t^7.04*y)/g2^5 - (t^7.09*y)/(g1^9*g2*g3^9) + (g1^7*g3^7*t^7.62*y)/g2 + (g2^3*t^7.67*y)/(g1^5*g3^5) + (g1^7*g2^3*t^7.99*y)/g3 + (g3^4*t^8.06*y)/(g1^4*g2^8) + (t^8.11*y)/(g1^16*g2^4*g3^8) + (g3^4*t^8.31*y)/(g1^12*g2^4) + (2*t^8.42*y)/(g1^4*g2^4*g3^4) + (g3^8*t^8.63*y)/g2^4 + (g3^2*t^8.66*y)/(g1^6*g2^2) + (t^8.68*y)/(g1^12*g3^4) + (g1^8*t^8.74*y)/g2^4 + (t^8.79*y)/(g1^4*g3^12) + (g3^8*t^8.89*y)/g1^8 + (g1^6*g3^6*t^8.98*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47286 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_5M_6$ | 0.6995 | 0.856 | 0.8172 | [X:[], M:[1.0123, 0.8913, 0.9877, 1.0302, 1.0482, 0.9518], q:[0.5241, 0.4636], qb:[0.5846, 0.4881], phi:[0.4849]] | t^2.67 + t^2.86 + t^2.96 + t^3.04 + t^3.09 + t^3.14 + t^3.22 + t^4.24 + t^4.31 + t^4.38 + t^4.42 + t^4.49 + 2*t^4.6 + t^4.67 + t^4.78 + t^4.96 + t^5.35 + t^5.53 + t^5.71 + t^5.76 + t^5.89 + t^5.95 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 48125 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_6^2$ | 0.6954 | 0.8497 | 0.8184 | [X:[], M:[1.0414, 0.9805, 0.9586, 1.0207, 0.978, 1.0], q:[0.489, 0.4696], qb:[0.5304, 0.5524], phi:[0.4896]] | t^2.88 + t^2.93 + t^2.94 + t^3. + t^3.06 + t^3.12 + t^3.25 + t^4.29 + t^4.34 + t^4.4 + t^4.47 + 2*t^4.53 + t^4.59 + t^4.65 + t^4.72 + t^4.78 + t^5.87 + 2*t^5.88 + t^5.94 - t^4.47/y - t^4.47*y | detail | |
| 47126 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.639 | 0.7933 | 0.8056 | [X:[], M:[1.1493, 0.7399, 0.8507, 1.2338, 0.7924, 0.6817], q:[0.3962, 0.4545], qb:[0.8638, 0.7531], phi:[0.3831]] | t^2.04 + t^2.22 + t^2.38 + t^2.55 + t^3.45 + t^3.53 + 2*t^3.7 + t^3.88 + t^4.09 + t^4.26 + t^4.42 + t^4.44 + 2*t^4.6 + t^4.75 + t^4.77 + t^4.85 + t^4.93 + t^5.1 + t^5.49 + t^5.57 + t^5.67 + 2*t^5.75 + t^5.9 + 2*t^5.92 - 2*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46114 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ | 0.7729 | 0.9519 | 0.812 | [X:[], M:[0.7473, 0.7777, 0.7777, 1.2223, 0.7777, 0.7777], q:[0.6263, 0.6263], qb:[0.596, 0.596], phi:[0.3888]] | t^2.24 + 4*t^2.33 + t^3.58 + t^3.67 + t^4.48 + 4*t^4.57 + 10*t^4.67 + 3*t^4.74 + 4*t^4.83 + 3*t^4.92 + t^5.82 + t^5.91 - 4*t^6. - t^4.17/y - t^4.17*y | detail |