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 |
|---|---|---|---|---|---|---|---|---|---|
| 605 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_2$ | 0.7478 | 0.9314 | 0.8029 | [X:[], M:[0.8612, 0.889, 0.7502, 1.0, 1.0, 0.7502], q:[0.6943, 0.4445], qb:[0.5555, 0.5555], phi:[0.4375]] | [X:[], M:[[-4, 4, 4], [0, -8, -8], [-4, -8, 0], [0, 4, -4], [0, -4, 4], [-4, 0, -8]], q:[[4, 0, 0], [0, -4, -4]], qb:[[0, 8, 0], [0, 0, 8]], phi:[[-1, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_6^2$, $ M_3M_6$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_1M_6$, $ M_1M_3$, $ M_6\phi_1^2$, $ M_3\phi_1^2$, $ M_2M_6$, $ M_2M_3$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1^2$, $ M_1\phi_1^2$, $ M_4M_6$, $ M_1M_2$, $ M_3M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_3M_5$, $ M_2\phi_1^2$, $ M_2^2$, $ \phi_1q_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$ | $M_4^2$, $ M_5^2$ | -3 | 2*t^2.25 + t^2.58 + t^2.63 + t^2.67 + 2*t^3. + t^3.98 + 2*t^4.31 + 3*t^4.5 + 3*t^4.65 + t^4.73 + 2*t^4.83 + 2*t^4.88 + 2*t^4.92 + 2*t^5.06 + t^5.17 + t^5.21 + 5*t^5.25 + t^5.29 + t^5.33 + t^5.48 + 2*t^5.63 - 3*t^6. + 2*t^6.23 - 2*t^6.33 - 2*t^6.42 + 4*t^6.56 + t^6.6 + t^6.65 + 2*t^6.75 + 6*t^6.9 + 2*t^6.94 + 4*t^6.98 + 3*t^7.08 + 3*t^7.13 + 3*t^7.17 + 3*t^7.23 + 3*t^7.27 + 6*t^7.31 + t^7.4 + 2*t^7.42 + 2*t^7.46 + 8*t^7.5 + 2*t^7.54 + 2*t^7.58 + 4*t^7.65 + 2*t^7.73 + t^7.75 + t^7.79 + 2*t^7.83 + 5*t^7.88 + t^7.92 + 2*t^7.96 + t^8. - 3*t^8.02 - t^8.06 + t^8.15 - 6*t^8.25 + 2*t^8.29 - 2*t^8.4 - 2*t^8.44 + 3*t^8.48 - 9*t^8.58 - 8*t^8.67 + t^8.71 + 5*t^8.81 - t^8.85 + 2*t^8.86 + 2*t^8.9 - 2*t^8.92 + 2*t^8.96 - t^4.31/y - (2*t^6.56)/y - t^6.9/y - t^6.94/y - t^6.98/y + t^7.5/y + t^7.65/y + t^7.69/y + t^7.73/y + (2*t^7.83)/y + (2*t^7.88)/y + (2*t^7.92)/y + (2*t^8.06)/y + t^8.21/y + (5*t^8.25)/y + t^8.29/y + (2*t^8.58)/y + (2*t^8.63)/y + (2*t^8.67)/y - (3*t^8.81)/y - t^4.31*y - 2*t^6.56*y - t^6.9*y - t^6.94*y - t^6.98*y + t^7.5*y + t^7.65*y + t^7.69*y + t^7.73*y + 2*t^7.83*y + 2*t^7.88*y + 2*t^7.92*y + 2*t^8.06*y + t^8.21*y + 5*t^8.25*y + t^8.29*y + 2*t^8.58*y + 2*t^8.63*y + 2*t^8.67*y - 3*t^8.81*y | t^2.25/(g1^4*g2^8) + t^2.25/(g1^4*g3^8) + (g2^4*g3^4*t^2.58)/g1^4 + t^2.63/(g1^2*g2^2*g3^2) + t^2.67/(g2^8*g3^8) + (g2^4*t^3.)/g3^4 + (g3^4*t^3.)/g2^4 + t^3.98/(g1*g2^9*g3^9) + (g2^3*t^4.31)/(g1*g3^5) + (g3^3*t^4.31)/(g1*g2^5) + t^4.5/(g1^8*g2^16) + t^4.5/(g1^8*g3^16) + t^4.5/(g1^8*g2^8*g3^8) + (g2^15*t^4.65)/(g1*g3) + (g2^7*g3^7*t^4.65)/g1 + (g3^15*t^4.65)/(g1*g2) + (g1^3*t^4.73)/(g2^5*g3^5) + (g2^4*t^4.83)/(g1^8*g3^4) + (g3^4*t^4.83)/(g1^8*g2^4) + t^4.88/(g1^6*g2^2*g3^10) + t^4.88/(g1^6*g2^10*g3^2) + t^4.92/(g1^4*g2^8*g3^16) + t^4.92/(g1^4*g2^16*g3^8) + (g1^3*g2^7*t^5.06)/g3 + (g1^3*g3^7*t^5.06)/g2 + (g2^8*g3^8*t^5.17)/g1^8 + (g2^2*g3^2*t^5.21)/g1^6 + (g2^4*t^5.25)/(g1^4*g3^12) + (3*t^5.25)/(g1^4*g2^4*g3^4) + (g3^4*t^5.25)/(g1^4*g2^12) + t^5.29/(g1^2*g2^10*g3^10) + t^5.33/(g2^16*g3^16) + (g1^7*t^5.48)/(g2*g3) + (g2^2*t^5.63)/(g1^2*g3^6) + (g3^2*t^5.63)/(g1^2*g2^6) - 3*t^6. + t^6.23/(g1^5*g2^9*g3^17) + t^6.23/(g1^5*g2^17*g3^9) - g2^12*g3^4*t^6.33 - g2^4*g3^12*t^6.33 - (g1^4*t^6.42)/g2^8 - (g1^4*t^6.42)/g3^8 + (g2^3*t^6.56)/(g1^5*g3^13) + (2*t^6.56)/(g1^5*g2^5*g3^5) + (g3^3*t^6.56)/(g1^5*g2^13) + t^6.6/(g1^3*g2^11*g3^11) + t^6.65/(g1*g2^17*g3^17) + t^6.75/(g1^12*g2^24) + t^6.75/(g1^12*g3^24) + t^6.75/(g1^12*g2^8*g3^16) + t^6.75/(g1^12*g2^16*g3^8) - 2*g1^4*g2^4*g3^4*t^6.75 + (g2^15*t^6.9)/(g1^5*g3^9) + (2*g2^7*t^6.9)/(g1^5*g3) + (2*g3^7*t^6.9)/(g1^5*g2) + (g3^15*t^6.9)/(g1^5*g2^9) + (g2*t^6.94)/(g1^3*g3^7) + (g3*t^6.94)/(g1^3*g2^7) + (2*t^6.98)/(g1*g2^5*g3^13) + (2*t^6.98)/(g1*g2^13*g3^5) + (g2^4*t^7.08)/(g1^12*g3^12) + t^7.08/(g1^12*g2^4*g3^4) + (g3^4*t^7.08)/(g1^12*g2^12) + t^7.13/(g1^10*g2^2*g3^18) + t^7.13/(g1^10*g2^10*g3^10) + t^7.13/(g1^10*g2^18*g3^2) + t^7.17/(g1^8*g2^8*g3^24) + t^7.17/(g1^8*g2^16*g3^16) + t^7.17/(g1^8*g2^24*g3^8) + (g2^19*g3^3*t^7.23)/g1^5 + (g2^11*g3^11*t^7.23)/g1^5 + (g2^3*g3^19*t^7.23)/g1^5 + (g2^13*t^7.27)/(g1^3*g3^3) + (g2^5*g3^5*t^7.27)/g1^3 + (g3^13*t^7.27)/(g1^3*g2^3) + (2*g2^7*t^7.31)/(g1*g3^9) + (2*t^7.31)/(g1*g2*g3) + (2*g3^7*t^7.31)/(g1*g2^9) + (g1^3*t^7.4)/(g2^13*g3^13) + (g2^8*t^7.42)/g1^12 + (g3^8*t^7.42)/g1^12 + (g2^2*t^7.46)/(g1^10*g3^6) + (g3^2*t^7.46)/(g1^10*g2^6) + (g2^4*t^7.5)/(g1^8*g3^20) + (3*t^7.5)/(g1^8*g2^4*g3^12) + (3*t^7.5)/(g1^8*g2^12*g3^4) + (g3^4*t^7.5)/(g1^8*g2^20) + t^7.54/(g1^6*g2^10*g3^18) + t^7.54/(g1^6*g2^18*g3^10) + t^7.58/(g1^4*g2^16*g3^24) + t^7.58/(g1^4*g2^24*g3^16) + (g2^19*t^7.65)/(g1*g3^5) + (g2^11*g3^3*t^7.65)/g1 + (g2^3*g3^11*t^7.65)/g1 + (g3^19*t^7.65)/(g1*g2^5) + (g1^3*t^7.73)/(g2*g3^9) + (g1^3*t^7.73)/(g2^9*g3) + (g2^12*g3^12*t^7.75)/g1^12 + (g2^6*g3^6*t^7.79)/g1^10 + (2*t^7.83)/g1^8 + (g2^2*t^7.88)/(g1^6*g3^14) + (3*t^7.88)/(g1^6*g2^6*g3^6) + (g3^2*t^7.88)/(g1^6*g2^14) + t^7.92/(g1^4*g2^12*g3^12) + (2*t^7.96)/(g1^2*g2^18*g3^18) + t^8./(g2^24*g3^24) - g1*g2^17*g3*t^8.02 - g1*g2^9*g3^9*t^8.02 - g1*g2*g3^17*t^8.02 - g1^3*g2^3*g3^3*t^8.06 + (g1^7*t^8.15)/(g2^9*g3^9) - (3*t^8.25)/(g1^4*g2^8) - (3*t^8.25)/(g1^4*g3^8) + t^8.29/(g1^2*g2^6*g3^14) + t^8.29/(g1^2*g2^14*g3^6) - g1^3*g2^15*g3^7*t^8.4 - g1^3*g2^7*g3^15*t^8.4 - g1^5*g2^9*g3*t^8.44 - g1^5*g2*g3^9*t^8.44 + t^8.48/(g1^9*g2^9*g3^25) + t^8.48/(g1^9*g2^17*g3^17) + t^8.48/(g1^9*g2^25*g3^9) - (2*g2^12*t^8.58)/(g1^4*g3^4) - (5*g2^4*g3^4*t^8.58)/g1^4 - (2*g3^12*t^8.58)/(g1^4*g2^4) + (g2^6*t^8.63)/(g1^2*g3^10) - (2*t^8.63)/(g1^2*g2^2*g3^2) + (g3^6*t^8.63)/(g1^2*g2^10) - t^8.67/g2^16 - t^8.67/g3^16 - (6*t^8.67)/(g2^8*g3^8) + (g1^2*t^8.71)/(g2^14*g3^14) + (g2^3*t^8.81)/(g1^9*g3^21) + (2*t^8.81)/(g1^9*g2^5*g3^13) + (2*t^8.81)/(g1^9*g2^13*g3^5) + (g3^3*t^8.81)/(g1^9*g2^21) - g1^7*g2^7*g3^7*t^8.81 - g1^9*g2*g3*t^8.85 + t^8.86/(g1^7*g2^11*g3^19) + t^8.86/(g1^7*g2^19*g3^11) + t^8.9/(g1^5*g2^17*g3^25) + t^8.9/(g1^5*g2^25*g3^17) - (g2^16*g3^8*t^8.92)/g1^4 - (g2^8*g3^16*t^8.92)/g1^4 + (g2^18*t^8.96)/(g1^2*g3^6) + (g3^18*t^8.96)/(g1^2*g2^6) - t^4.31/(g1*g2*g3*y) - t^6.56/(g1^5*g2*g3^9*y) - t^6.56/(g1^5*g2^9*g3*y) - (g2^3*g3^3*t^6.9)/(g1^5*y) - t^6.94/(g1^3*g2^3*g3^3*y) - t^6.98/(g1*g2^9*g3^9*y) + t^7.5/(g1^8*g2^8*g3^8*y) + (g2^7*g3^7*t^7.65)/(g1*y) + (g1*g2*g3*t^7.69)/y + (g1^3*t^7.73)/(g2^5*g3^5*y) + (g2^4*t^7.83)/(g1^8*g3^4*y) + (g3^4*t^7.83)/(g1^8*g2^4*y) + t^7.88/(g1^6*g2^2*g3^10*y) + t^7.88/(g1^6*g2^10*g3^2*y) + t^7.92/(g1^4*g2^8*g3^16*y) + t^7.92/(g1^4*g2^16*g3^8*y) + (g1^3*g2^7*t^8.06)/(g3*y) + (g1^3*g3^7*t^8.06)/(g2*y) + (g2^2*g3^2*t^8.21)/(g1^6*y) + (g2^4*t^8.25)/(g1^4*g3^12*y) + (3*t^8.25)/(g1^4*g2^4*g3^4*y) + (g3^4*t^8.25)/(g1^4*g2^12*y) + t^8.29/(g1^2*g2^10*g3^10*y) + (g2^8*t^8.58)/(g1^4*y) + (g3^8*t^8.58)/(g1^4*y) + (g2^2*t^8.63)/(g1^2*g3^6*y) + (g3^2*t^8.63)/(g1^2*g2^6*y) + t^8.67/(g2^4*g3^12*y) + t^8.67/(g2^12*g3^4*y) - t^8.81/(g1^9*g2*g3^17*y) - t^8.81/(g1^9*g2^9*g3^9*y) - t^8.81/(g1^9*g2^17*g3*y) - (t^4.31*y)/(g1*g2*g3) - (t^6.56*y)/(g1^5*g2*g3^9) - (t^6.56*y)/(g1^5*g2^9*g3) - (g2^3*g3^3*t^6.9*y)/g1^5 - (t^6.94*y)/(g1^3*g2^3*g3^3) - (t^6.98*y)/(g1*g2^9*g3^9) + (t^7.5*y)/(g1^8*g2^8*g3^8) + (g2^7*g3^7*t^7.65*y)/g1 + g1*g2*g3*t^7.69*y + (g1^3*t^7.73*y)/(g2^5*g3^5) + (g2^4*t^7.83*y)/(g1^8*g3^4) + (g3^4*t^7.83*y)/(g1^8*g2^4) + (t^7.88*y)/(g1^6*g2^2*g3^10) + (t^7.88*y)/(g1^6*g2^10*g3^2) + (t^7.92*y)/(g1^4*g2^8*g3^16) + (t^7.92*y)/(g1^4*g2^16*g3^8) + (g1^3*g2^7*t^8.06*y)/g3 + (g1^3*g3^7*t^8.06*y)/g2 + (g2^2*g3^2*t^8.21*y)/g1^6 + (g2^4*t^8.25*y)/(g1^4*g3^12) + (3*t^8.25*y)/(g1^4*g2^4*g3^4) + (g3^4*t^8.25*y)/(g1^4*g2^12) + (t^8.29*y)/(g1^2*g2^10*g3^10) + (g2^8*t^8.58*y)/g1^4 + (g3^8*t^8.58*y)/g1^4 + (g2^2*t^8.63*y)/(g1^2*g3^6) + (g3^2*t^8.63*y)/(g1^2*g2^6) + (t^8.67*y)/(g2^4*g3^12) + (t^8.67*y)/(g2^12*g3^4) - (t^8.81*y)/(g1^9*g2*g3^17) - (t^8.81*y)/(g1^9*g2^9*g3^9) - (t^8.81*y)/(g1^9*g2^17*g3) |
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 |
|---|---|---|---|---|---|---|---|---|
| 975 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_3\phi_1^2$ | 0.7013 | 0.8626 | 0.813 | [X:[], M:[0.9811, 0.9729, 1.023, 0.9311, 1.0689, 0.8851], q:[0.5324, 0.4864], qb:[0.4446, 0.5825], phi:[0.4885]] | t^2.66 + t^2.79 + t^2.92 + t^2.93 + t^2.94 + t^3.07 + t^3.21 + t^4.13 + t^4.26 + t^4.38 + t^4.4 + t^4.52 + t^4.55 + t^4.66 + t^4.67 + t^4.81 + t^4.96 + t^5.31 + t^5.45 + t^5.57 + t^5.59 + t^5.6 + 2*t^5.72 + t^5.84 + 3*t^5.86 + t^5.89 + t^5.99 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 976 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.7686 | 0.9726 | 0.7902 | [X:[], M:[0.8603, 0.8907, 0.7511, 1.0, 1.0, 0.7511, 0.6715], q:[0.6943, 0.4454], qb:[0.5546, 0.5546], phi:[0.4378]] | t^2.01 + 2*t^2.25 + t^2.58 + t^2.63 + t^2.67 + 2*t^3. + t^4.03 + 2*t^4.27 + 2*t^4.31 + 3*t^4.51 + t^4.6 + 4*t^4.64 + t^4.69 + t^4.73 + 2*t^4.83 + 2*t^4.88 + 2*t^4.93 + 2*t^5.01 + 2*t^5.06 + t^5.16 + t^5.21 + 5*t^5.25 + t^5.3 + t^5.34 + t^5.48 + 2*t^5.63 - 3*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 371 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ | 0.7297 | 0.8972 | 0.8133 | [X:[], M:[0.8794, 0.9008, 0.7647, 1.0155, 0.9845], q:[0.6702, 0.4504], qb:[0.5651, 0.5341], phi:[0.445]] | t^2.29 + t^2.64 + t^2.67 + t^2.7 + t^2.95 + t^3.05 + t^3.61 + t^4.04 + t^4.29 + t^4.38 + t^4.54 + t^4.59 + t^4.63 + t^4.7 + t^4.73 + t^4.93 + t^4.95 + t^4.96 + t^5. + t^5.04 + t^5.25 + t^5.28 + t^5.31 + 2*t^5.34 + t^5.36 + t^5.37 + t^5.4 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |