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 |
|---|---|---|---|---|---|---|---|---|---|
| 2816 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6627 | 0.88 | 0.7531 | [X:[], M:[0.9908, 1.0276, 0.7477, 0.7477, 0.7661, 0.7661], q:[0.7477, 0.2615], qb:[0.4862, 0.4862], phi:[0.5046]] | [X:[], M:[[4, 4], [-12, -12], [-5, 7], [7, -5], [-13, -1], [-1, -13]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_1$, $ M_3$, $ q_2\tilde{q}_2$, $ M_6$, $ M_5$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3M_4$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_6$, $ M_6q_2\tilde{q}_1$, $ M_4M_5$, $ M_3M_6$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_3M_5$, $ M_5q_2\tilde{q}_2$, $ M_6^2$, $ M_5M_6$, $ M_5^2$, $ M_1M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_6$, $ M_4\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_5$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_4$, $ M_6\phi_1^2$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_3$, $ M_5\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_6$, $ M_6\phi_1q_2^2$, $ M_2M_5$, $ M_5\phi_1q_2^2$ | . | -5 | 4*t^2.24 + 2*t^2.3 + t^2.97 + t^3.03 + 2*t^3.08 + 3*t^4.43 + 10*t^4.49 + 8*t^4.54 + 3*t^4.6 + 4*t^5.22 + 6*t^5.27 + 8*t^5.33 + 4*t^5.38 - 5*t^6. + t^6.06 + 2*t^6.11 + 3*t^6.17 + 8*t^6.67 + 22*t^6.73 + 16*t^6.78 + 10*t^6.84 + 4*t^6.89 + 8*t^7.46 + 16*t^7.51 + 23*t^7.57 + 15*t^7.62 + 6*t^7.68 - 2*t^8.13 - 6*t^8.19 - 20*t^8.24 - 8*t^8.3 + 8*t^8.35 + 12*t^8.41 + 6*t^8.46 + 5*t^8.86 + 14*t^8.92 + 30*t^8.97 - t^4.51/y - (2*t^6.76)/y - (2*t^6.81)/y + t^7.43/y + (6*t^7.49)/y + (8*t^7.54)/y + (6*t^8.22)/y + (8*t^8.27)/y + (10*t^8.33)/y + (4*t^8.38)/y - t^4.51*y - 2*t^6.76*y - 2*t^6.81*y + t^7.43*y + 6*t^7.49*y + 8*t^7.54*y + 6*t^8.22*y + 8*t^8.27*y + 10*t^8.33*y + 4*t^8.38*y | (2*g1^7*t^2.24)/g2^5 + (2*g2^7*t^2.24)/g1^5 + t^2.3/(g1*g2^13) + t^2.3/(g1^13*g2) + g1^4*g2^4*t^2.97 + t^3.03/(g1^4*g2^4) + (2*t^3.08)/(g1^12*g2^12) + (g1^22*t^4.43)/g2^2 + g1^10*g2^10*t^4.43 + (g2^22*t^4.43)/g1^2 + (3*g1^14*t^4.49)/g2^10 + 4*g1^2*g2^2*t^4.49 + (3*g2^14*t^4.49)/g1^10 + (2*g1^6*t^4.54)/g2^18 + (4*t^4.54)/(g1^6*g2^6) + (2*g2^6*t^4.54)/g1^18 + t^4.6/(g1^2*g2^26) + t^4.6/(g1^14*g2^14) + t^4.6/(g1^26*g2^2) + (2*g1^11*t^5.22)/g2 + (2*g2^11*t^5.22)/g1 + (3*g1^3*t^5.27)/g2^9 + (3*g2^3*t^5.27)/g1^9 + (4*t^5.33)/(g1^5*g2^17) + (4*t^5.33)/(g1^17*g2^5) + (2*t^5.38)/(g1^13*g2^25) + (2*t^5.38)/(g1^25*g2^13) - 3*t^6. - (g1^12*t^6.)/g2^12 - (g2^12*t^6.)/g1^12 + t^6.06/(g1^8*g2^8) + (2*t^6.11)/(g1^16*g2^16) + (3*t^6.17)/(g1^24*g2^24) + (2*g1^29*t^6.67)/g2^7 + 2*g1^17*g2^5*t^6.67 + 2*g1^5*g2^17*t^6.67 + (2*g2^29*t^6.67)/g1^7 + (5*g1^21*t^6.73)/g2^15 + (6*g1^9*t^6.73)/g2^3 + (6*g2^9*t^6.73)/g1^3 + (5*g2^21*t^6.73)/g1^15 + (3*g1^13*t^6.78)/g2^23 + (5*g1*t^6.78)/g2^11 + (5*g2*t^6.78)/g1^11 + (3*g2^13*t^6.78)/g1^23 + (2*g1^5*t^6.84)/g2^31 + (3*t^6.84)/(g1^7*g2^19) + (3*t^6.84)/(g1^19*g2^7) + (2*g2^5*t^6.84)/g1^31 + t^6.89/(g1^3*g2^39) + t^6.89/(g1^15*g2^27) + t^6.89/(g1^27*g2^15) + t^6.89/(g1^39*g2^3) + (3*g1^18*t^7.46)/g2^6 + 2*g1^6*g2^6*t^7.46 + (3*g2^18*t^7.46)/g1^6 + (5*g1^10*t^7.51)/g2^14 + (6*t^7.51)/(g1^2*g2^2) + (5*g2^10*t^7.51)/g1^14 + (7*g1^2*t^7.57)/g2^22 + (9*t^7.57)/(g1^10*g2^10) + (7*g2^2*t^7.57)/g1^22 + (4*t^7.62)/(g1^6*g2^30) + (7*t^7.62)/(g1^18*g2^18) + (4*t^7.62)/(g1^30*g2^6) + (2*t^7.68)/(g1^14*g2^38) + (2*t^7.68)/(g1^26*g2^26) + (2*t^7.68)/(g1^38*g2^14) - g1^23*g2^11*t^8.13 - g1^11*g2^23*t^8.13 - 3*g1^15*g2^3*t^8.19 - 3*g1^3*g2^15*t^8.19 - (2*g1^19*t^8.24)/g2^17 - (8*g1^7*t^8.24)/g2^5 - (8*g2^7*t^8.24)/g1^5 - (2*g2^19*t^8.24)/g1^17 - (g1^11*t^8.3)/g2^25 - (3*t^8.3)/(g1*g2^13) - (3*t^8.3)/(g1^13*g2) - (g2^11*t^8.3)/g1^25 + (4*t^8.35)/(g1^9*g2^21) + (4*t^8.35)/(g1^21*g2^9) + (6*t^8.41)/(g1^17*g2^29) + (6*t^8.41)/(g1^29*g2^17) + (3*t^8.46)/(g1^25*g2^37) + (3*t^8.46)/(g1^37*g2^25) + (g1^44*t^8.86)/g2^4 + g1^32*g2^8*t^8.86 + g1^20*g2^20*t^8.86 + g1^8*g2^32*t^8.86 + (g2^44*t^8.86)/g1^4 + 3*g1^24*t^8.92 + (3*g1^36*t^8.92)/g2^12 + 2*g1^12*g2^12*t^8.92 + 3*g2^24*t^8.92 + (3*g2^36*t^8.92)/g1^12 + (7*g1^28*t^8.97)/g2^20 + (7*g1^16*t^8.97)/g2^8 + 2*g1^4*g2^4*t^8.97 + (7*g2^16*t^8.97)/g1^8 + (7*g2^28*t^8.97)/g1^20 - t^4.51/(g1^2*g2^2*y) - (g1^5*t^6.76)/(g2^7*y) - (g2^5*t^6.76)/(g1^7*y) - t^6.81/(g1^3*g2^15*y) - t^6.81/(g1^15*g2^3*y) + (g1^10*g2^10*t^7.43)/y + (g1^14*t^7.49)/(g2^10*y) + (4*g1^2*g2^2*t^7.49)/y + (g2^14*t^7.49)/(g1^10*y) + (2*g1^6*t^7.54)/(g2^18*y) + (4*t^7.54)/(g1^6*g2^6*y) + (2*g2^6*t^7.54)/(g1^18*y) + (3*g1^11*t^8.22)/(g2*y) + (3*g2^11*t^8.22)/(g1*y) + (4*g1^3*t^8.27)/(g2^9*y) + (4*g2^3*t^8.27)/(g1^9*y) + (5*t^8.33)/(g1^5*g2^17*y) + (5*t^8.33)/(g1^17*g2^5*y) + (2*t^8.38)/(g1^13*g2^25*y) + (2*t^8.38)/(g1^25*g2^13*y) - (t^4.51*y)/(g1^2*g2^2) - (g1^5*t^6.76*y)/g2^7 - (g2^5*t^6.76*y)/g1^7 - (t^6.81*y)/(g1^3*g2^15) - (t^6.81*y)/(g1^15*g2^3) + g1^10*g2^10*t^7.43*y + (g1^14*t^7.49*y)/g2^10 + 4*g1^2*g2^2*t^7.49*y + (g2^14*t^7.49*y)/g1^10 + (2*g1^6*t^7.54*y)/g2^18 + (4*t^7.54*y)/(g1^6*g2^6) + (2*g2^6*t^7.54*y)/g1^18 + (3*g1^11*t^8.22*y)/g2 + (3*g2^11*t^8.22*y)/g1 + (4*g1^3*t^8.27*y)/g2^9 + (4*g2^3*t^8.27*y)/g1^9 + (5*t^8.33*y)/(g1^5*g2^17) + (5*t^8.33*y)/(g1^17*g2^5) + (2*t^8.38*y)/(g1^13*g2^25) + (2*t^8.38*y)/(g1^25*g2^13) |
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 |
|---|---|---|---|---|---|---|---|---|
| 3345 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_5$ | 0.651 | 0.8622 | 0.755 | [X:[], M:[0.9518, 1.1446, 0.759, 0.7169, 0.8554, 0.8134], q:[0.7379, 0.3103], qb:[0.4067, 0.4487], phi:[0.5241]] | 2*t^2.15 + 2*t^2.28 + t^2.44 + t^2.57 + t^2.86 + t^3.14 + 2*t^3.43 + t^4.01 + t^4.14 + t^4.26 + 3*t^4.3 + 4*t^4.43 + 3*t^4.55 + 2*t^4.59 + 4*t^4.72 + 2*t^4.84 + t^4.88 + 3*t^5.01 + 3*t^5.13 + 3*t^5.3 + 3*t^5.42 + 4*t^5.58 + 4*t^5.71 + t^5.87 - t^6. - t^4.57/y - t^4.57*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1801 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ | 0.6449 | 0.848 | 0.7605 | [X:[], M:[0.9839, 1.0482, 0.7351, 0.7569, 0.7672], q:[0.746, 0.2701], qb:[0.4868, 0.465], phi:[0.508]] | 2*t^2.21 + 2*t^2.27 + t^2.3 + t^2.95 + t^3.05 + 2*t^3.14 + t^3.63 + t^4.31 + t^4.38 + 3*t^4.41 + t^4.45 + 4*t^4.48 + 2*t^4.51 + 3*t^4.54 + 2*t^4.57 + t^4.6 + 2*t^5.16 + 2*t^5.22 + 3*t^5.25 + 2*t^5.32 + 4*t^5.35 + 3*t^5.42 + 2*t^5.45 + 2*t^5.84 + 2*t^5.9 - 3*t^6. - t^4.52/y - t^4.52*y | detail |