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 |
|---|---|---|---|---|---|---|---|---|---|
| 3123 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ | 0.6656 | 0.8837 | 0.7532 | [X:[], M:[0.9783, 1.0651, 1.0217, 0.9349, 0.7446, 0.7446, 0.788, 0.788], q:[0.7446, 0.2771], qb:[0.4674, 0.4674], phi:[0.5109]] | [X:[], M:[[4, 4], [-12, -12], [-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 |
|---|---|---|---|---|
| $M_6$, $ q_2\tilde{q}_1$, $ M_5$, $ q_2\tilde{q}_2$, $ M_8$, $ M_7$, $ M_4$, $ M_3$, $ \phi_1^2$, $ \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_6^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5M_6$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_6M_8$, $ M_8q_2\tilde{q}_1$, $ M_6M_7$, $ M_5M_8$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ M_8q_2\tilde{q}_2$, $ M_5M_7$, $ M_7q_2\tilde{q}_2$, $ M_8^2$, $ M_7M_8$, $ M_7^2$, $ M_4M_6$, $ M_4q_2\tilde{q}_1$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_4M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_6$, $ M_6\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_8$, $ M_8\phi_1^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3M_7$, $ M_7\phi_1^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_8\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ M_4^2$, $ M_3M_4$, $ M_4\phi_1^2$ | $M_4\phi_1q_2^2$ | -5 | 4*t^2.23 + 2*t^2.36 + t^2.8 + 2*t^3.07 + t^3.2 + 3*t^4.34 + 10*t^4.47 + 8*t^4.6 + 3*t^4.73 + 4*t^5.04 + 2*t^5.17 + 8*t^5.3 + 6*t^5.43 + 2*t^5.56 + t^5.61 + t^5.87 - 5*t^6. + t^6.13 + 2*t^6.26 + t^6.39 + 8*t^6.57 + 22*t^6.7 + 16*t^6.83 + 10*t^6.96 + 4*t^7.09 + 3*t^7.14 + 7*t^7.27 + 9*t^7.4 + 18*t^7.53 + 18*t^7.66 + 10*t^7.79 + 4*t^7.84 + 3*t^7.92 - 2*t^8.1 - 20*t^8.23 - 6*t^8.36 + t^8.41 + 6*t^8.49 + 6*t^8.62 + 6*t^8.67 + 2*t^8.75 + 9*t^8.8 + 35*t^8.93 - t^4.53/y - (2*t^6.77)/y - (2*t^6.9)/y + (7*t^7.47)/y + (7*t^7.6)/y + t^7.73/y + (4*t^8.04)/y + (4*t^8.17)/y + (10*t^8.3)/y + (8*t^8.43)/y + (2*t^8.56)/y + (2*t^8.87)/y - t^4.53*y - 2*t^6.77*y - 2*t^6.9*y + 7*t^7.47*y + 7*t^7.6*y + t^7.73*y + 4*t^8.04*y + 4*t^8.17*y + 10*t^8.3*y + 8*t^8.43*y + 2*t^8.56*y + 2*t^8.87*y | (2*g1^7*t^2.23)/g2^5 + (2*g2^7*t^2.23)/g1^5 + t^2.36/(g1*g2^13) + t^2.36/(g1^13*g2) + g1^12*g2^12*t^2.8 + (2*t^3.07)/(g1^4*g2^4) + t^3.2/(g1^12*g2^12) + (g1^22*t^4.34)/g2^2 + g1^10*g2^10*t^4.34 + (g2^22*t^4.34)/g1^2 + (3*g1^14*t^4.47)/g2^10 + 4*g1^2*g2^2*t^4.47 + (3*g2^14*t^4.47)/g1^10 + (2*g1^6*t^4.6)/g2^18 + (4*t^4.6)/(g1^6*g2^6) + (2*g2^6*t^4.6)/g1^18 + t^4.73/(g1^2*g2^26) + t^4.73/(g1^14*g2^14) + t^4.73/(g1^26*g2^2) + 2*g1^19*g2^7*t^5.04 + 2*g1^7*g2^19*t^5.04 + (g1^11*t^5.17)/g2 + (g2^11*t^5.17)/g1 + (4*g1^3*t^5.3)/g2^9 + (4*g2^3*t^5.3)/g1^9 + (3*t^5.43)/(g1^5*g2^17) + (3*t^5.43)/(g1^17*g2^5) + t^5.56/(g1^13*g2^25) + t^5.56/(g1^25*g2^13) + g1^24*g2^24*t^5.61 + g1^8*g2^8*t^5.87 - 3*t^6. - (g1^12*t^6.)/g2^12 - (g2^12*t^6.)/g1^12 + t^6.13/(g1^8*g2^8) + (2*t^6.26)/(g1^16*g2^16) + t^6.39/(g1^24*g2^24) + (2*g1^29*t^6.57)/g2^7 + 2*g1^17*g2^5*t^6.57 + 2*g1^5*g2^17*t^6.57 + (2*g2^29*t^6.57)/g1^7 + (5*g1^21*t^6.7)/g2^15 + (6*g1^9*t^6.7)/g2^3 + (6*g2^9*t^6.7)/g1^3 + (5*g2^21*t^6.7)/g1^15 + (3*g1^13*t^6.83)/g2^23 + (5*g1*t^6.83)/g2^11 + (5*g2*t^6.83)/g1^11 + (3*g2^13*t^6.83)/g1^23 + (2*g1^5*t^6.96)/g2^31 + (3*t^6.96)/(g1^7*g2^19) + (3*t^6.96)/(g1^19*g2^7) + (2*g2^5*t^6.96)/g1^31 + t^7.09/(g1^3*g2^39) + t^7.09/(g1^15*g2^27) + t^7.09/(g1^27*g2^15) + t^7.09/(g1^39*g2^3) + g1^34*g2^10*t^7.14 + g1^22*g2^22*t^7.14 + g1^10*g2^34*t^7.14 + 2*g1^26*g2^2*t^7.27 + 3*g1^14*g2^14*t^7.27 + 2*g1^2*g2^26*t^7.27 + (3*g1^18*t^7.4)/g2^6 + 3*g1^6*g2^6*t^7.4 + (3*g2^18*t^7.4)/g1^6 + (6*g1^10*t^7.53)/g2^14 + (6*t^7.53)/(g1^2*g2^2) + (6*g2^10*t^7.53)/g1^14 + (5*g1^2*t^7.66)/g2^22 + (8*t^7.66)/(g1^10*g2^10) + (5*g2^2*t^7.66)/g1^22 + (3*t^7.79)/(g1^6*g2^30) + (4*t^7.79)/(g1^18*g2^18) + (3*t^7.79)/(g1^30*g2^6) + 2*g1^31*g2^19*t^7.84 + 2*g1^19*g2^31*t^7.84 + t^7.92/(g1^14*g2^38) + t^7.92/(g1^26*g2^26) + t^7.92/(g1^38*g2^14) - g1^15*g2^3*t^8.1 - g1^3*g2^15*t^8.1 - (2*g1^19*t^8.23)/g2^17 - (8*g1^7*t^8.23)/g2^5 - (8*g2^7*t^8.23)/g1^5 - (2*g2^19*t^8.23)/g1^17 - (g1^11*t^8.36)/g2^25 - (2*t^8.36)/(g1*g2^13) - (2*t^8.36)/(g1^13*g2) - (g2^11*t^8.36)/g1^25 + g1^36*g2^36*t^8.41 + (3*t^8.49)/(g1^9*g2^21) + (3*t^8.49)/(g1^21*g2^9) + (3*t^8.62)/(g1^17*g2^29) + (3*t^8.62)/(g1^29*g2^17) + (g1^44*t^8.67)/g2^4 + g1^32*g2^8*t^8.67 + 2*g1^20*g2^20*t^8.67 + g1^8*g2^32*t^8.67 + (g2^44*t^8.67)/g1^4 + t^8.75/(g1^25*g2^37) + t^8.75/(g1^37*g2^25) + 2*g1^24*t^8.8 + (3*g1^36*t^8.8)/g2^12 - g1^12*g2^12*t^8.8 + 2*g2^24*t^8.8 + (3*g2^36*t^8.8)/g1^12 + (7*g1^28*t^8.93)/g2^20 + (8*g1^16*t^8.93)/g2^8 + 5*g1^4*g2^4*t^8.93 + (8*g2^16*t^8.93)/g1^8 + (7*g2^28*t^8.93)/g1^20 - t^4.53/(g1^2*g2^2*y) - (g1^5*t^6.77)/(g2^7*y) - (g2^5*t^6.77)/(g1^7*y) - t^6.9/(g1^3*g2^15*y) - t^6.9/(g1^15*g2^3*y) + (g1^14*t^7.47)/(g2^10*y) + (5*g1^2*g2^2*t^7.47)/y + (g2^14*t^7.47)/(g1^10*y) + (2*g1^6*t^7.6)/(g2^18*y) + (3*t^7.6)/(g1^6*g2^6*y) + (2*g2^6*t^7.6)/(g1^18*y) + t^7.73/(g1^14*g2^14*y) + (2*g1^19*g2^7*t^8.04)/y + (2*g1^7*g2^19*t^8.04)/y + (2*g1^11*t^8.17)/(g2*y) + (2*g2^11*t^8.17)/(g1*y) + (5*g1^3*t^8.3)/(g2^9*y) + (5*g2^3*t^8.3)/(g1^9*y) + (4*t^8.43)/(g1^5*g2^17*y) + (4*t^8.43)/(g1^17*g2^5*y) + t^8.56/(g1^13*g2^25*y) + t^8.56/(g1^25*g2^13*y) + (2*g1^8*g2^8*t^8.87)/y - (t^4.53*y)/(g1^2*g2^2) - (g1^5*t^6.77*y)/g2^7 - (g2^5*t^6.77*y)/g1^7 - (t^6.9*y)/(g1^3*g2^15) - (t^6.9*y)/(g1^15*g2^3) + (g1^14*t^7.47*y)/g2^10 + 5*g1^2*g2^2*t^7.47*y + (g2^14*t^7.47*y)/g1^10 + (2*g1^6*t^7.6*y)/g2^18 + (3*t^7.6*y)/(g1^6*g2^6) + (2*g2^6*t^7.6*y)/g1^18 + (t^7.73*y)/(g1^14*g2^14) + 2*g1^19*g2^7*t^8.04*y + 2*g1^7*g2^19*t^8.04*y + (2*g1^11*t^8.17*y)/g2 + (2*g2^11*t^8.17*y)/g1 + (5*g1^3*t^8.3*y)/g2^9 + (5*g2^3*t^8.3*y)/g1^9 + (4*t^8.43*y)/(g1^5*g2^17) + (4*t^8.43*y)/(g1^17*g2^5) + (t^8.56*y)/(g1^13*g2^25) + (t^8.56*y)/(g1^25*g2^13) + 2*g1^8*g2^8*t^8.87*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5005 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ + $ M_9\phi_1q_2^2$ | 0.6739 | 0.8987 | 0.7499 | [X:[], M:[0.9616, 1.1153, 1.0384, 0.8847, 0.7404, 0.7404, 0.8173, 0.8173, 0.8847], q:[0.7404, 0.2981], qb:[0.4423, 0.4423], phi:[0.5192]] | 4*t^2.22 + 2*t^2.45 + 2*t^2.65 + 2*t^3.12 + 3*t^4.21 + 10*t^4.44 + 8*t^4.67 + 8*t^4.88 + 3*t^4.9 + 4*t^5.11 + 3*t^5.31 + 8*t^5.34 + 2*t^5.57 + 3*t^5.77 - 6*t^6. - t^4.56/y - t^4.56*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2047 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6491 | 0.8553 | 0.7589 | [X:[], M:[0.9707, 1.0879, 1.0293, 0.9121, 0.7303, 0.755, 0.7889], q:[0.7427, 0.2866], qb:[0.4684, 0.4437], phi:[0.5146]] | 2*t^2.19 + 2*t^2.27 + t^2.37 + t^2.74 + 2*t^3.09 + t^3.26 + t^3.56 + t^4.21 + t^4.28 + t^4.35 + 3*t^4.38 + 4*t^4.46 + 3*t^4.53 + 2*t^4.56 + 2*t^4.63 + t^4.73 + 2*t^4.93 + 2*t^5. + t^5.1 + 4*t^5.28 + 4*t^5.35 + 3*t^5.45 + t^5.47 + t^5.53 + t^5.63 + 2*t^5.75 + 3*t^5.82 - 3*t^6. - t^4.54/y - t^4.54*y | detail |