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 |
|---|---|---|---|---|---|---|---|---|---|
| 2910 | 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_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6516 | 0.8578 | 0.7596 | [X:[], M:[0.9665, 1.1006, 0.9665, 0.8994, 0.7338, 0.8165, 0.8009], q:[0.7416, 0.2919], qb:[0.4575, 0.4419], phi:[0.5168]] | [X:[], M:[[4, 4], [-12, -12], [4, 4], [12, 12], [-5, 7], [-1, -13], [-13, -1]], 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 |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_7$, $ M_6$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_5M_7$, $ M_7q_2\tilde{q}_2$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ M_7^2$, $ M_6M_7$, $ M_6^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_7$, $ M_3M_7$, $ M_1M_6$, $ M_3M_6$, $ M_4^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1M_4$, $ M_3M_4$, $ M_7\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$ | -2 | 2*t^2.2 + t^2.25 + t^2.4 + t^2.45 + t^2.7 + 2*t^2.9 + t^3.3 + t^3.75 + t^4.2 + t^4.25 + t^4.3 + 3*t^4.4 + 2*t^4.45 + t^4.5 + 2*t^4.6 + 3*t^4.65 + t^4.7 + t^4.81 + t^4.85 + 3*t^4.9 + t^4.95 + 5*t^5.1 + 3*t^5.15 + 2*t^5.3 + 2*t^5.35 + t^5.4 + t^5.5 + 2*t^5.6 + t^5.7 + t^5.75 + 2*t^5.8 + t^5.95 - 2*t^6. - t^6.05 + t^6.15 + t^6.2 + 2*t^6.4 + 2*t^6.45 + t^6.5 + t^6.54 + 6*t^6.6 + 5*t^6.65 + 2*t^6.7 + 2*t^6.74 + 3*t^6.81 + 3*t^6.85 + 2*t^6.9 + 2*t^6.95 + t^6.99 + 2*t^7.01 + 3*t^7.05 + 6*t^7.1 + 4*t^7.15 + 2*t^7.19 + t^7.21 + t^7.25 + 8*t^7.3 + 5*t^7.35 + 2*t^7.4 + 5*t^7.5 + 4*t^7.55 + 4*t^7.6 + t^7.64 + 3*t^7.7 + t^7.75 + 6*t^7.8 + 2*t^7.85 + t^7.91 + 2*t^7.95 + 4*t^8. + 2*t^8.05 + t^8.09 + t^8.11 + 2*t^8.15 - 3*t^8.2 - 3*t^8.25 - t^8.29 + 2*t^8.3 + t^8.36 - 2*t^8.4 - 4*t^8.45 + 2*t^8.5 + t^8.54 + t^8.56 + t^8.59 + 4*t^8.6 + 3*t^8.65 + t^8.79 + 8*t^8.81 + 6*t^8.85 - 5*t^8.9 + 2*t^8.99 - t^4.55/y - t^6.75/y - t^6.95/y - t^7./y + t^7.4/y + t^7.45/y + (2*t^7.6)/y + (4*t^7.65)/y + t^7.7/y + t^7.85/y + (2*t^7.9)/y + t^7.95/y + (6*t^8.1)/y + (4*t^8.15)/y + (2*t^8.3)/y + (3*t^8.35)/y + (2*t^8.5)/y + t^8.55/y + (2*t^8.6)/y + t^8.7/y + t^8.75/y + t^8.8/y + t^8.95/y - t^4.55*y - t^6.75*y - t^6.95*y - t^7.*y + t^7.4*y + t^7.45*y + 2*t^7.6*y + 4*t^7.65*y + t^7.7*y + t^7.85*y + 2*t^7.9*y + t^7.95*y + 6*t^8.1*y + 4*t^8.15*y + 2*t^8.3*y + 3*t^8.35*y + 2*t^8.5*y + t^8.55*y + 2*t^8.6*y + t^8.7*y + t^8.75*y + t^8.8*y + t^8.95*y | (2*g2^7*t^2.2)/g1^5 + (g1^7*t^2.25)/g2^5 + t^2.4/(g1^13*g2) + t^2.45/(g1*g2^13) + g1^12*g2^12*t^2.7 + 2*g1^4*g2^4*t^2.9 + t^3.3/(g1^12*g2^12) + (g2^5*t^3.75)/g1^7 + (g2^22*t^4.2)/g1^2 + g1^10*g2^10*t^4.25 + (g1^22*t^4.3)/g2^2 + (3*g2^14*t^4.4)/g1^10 + 2*g1^2*g2^2*t^4.45 + (g1^14*t^4.5)/g2^10 + (2*g2^6*t^4.6)/g1^18 + (3*t^4.65)/(g1^6*g2^6) + (g1^6*t^4.7)/g2^18 + t^4.81/(g1^26*g2^2) + t^4.85/(g1^14*g2^14) + t^4.9/(g1^2*g2^26) + 2*g1^7*g2^19*t^4.9 + g1^19*g2^7*t^4.95 + (5*g2^11*t^5.1)/g1 + (3*g1^11*t^5.15)/g2 + (2*g2^3*t^5.3)/g1^9 + (2*g1^3*t^5.35)/g2^9 + g1^24*g2^24*t^5.4 + t^5.5/(g1^17*g2^5) + 2*g1^16*g2^16*t^5.6 + t^5.7/(g1^25*g2^13) + t^5.75/(g1^13*g2^25) + 2*g1^8*g2^8*t^5.8 + (g2^12*t^5.95)/g1^12 - 2*t^6. - (g1^12*t^6.05)/g2^12 + (g2^4*t^6.15)/g1^20 + t^6.2/(g1^8*g2^8) + (2*g2^29*t^6.4)/g1^7 + 2*g1^5*g2^17*t^6.45 + g1^17*g2^5*t^6.5 + (g1^29*t^6.54)/g2^7 + t^6.6/(g1^24*g2^24) + (5*g2^21*t^6.6)/g1^15 + (5*g2^9*t^6.65)/g1^3 + (2*g1^9*t^6.7)/g2^3 + (2*g1^21*t^6.74)/g2^15 + (3*g2^13*t^6.81)/g1^23 + (3*g2*t^6.85)/g1^11 + (g1*t^6.9)/g2^11 + g1^10*g2^34*t^6.9 + (g1^13*t^6.95)/g2^23 + g1^22*g2^22*t^6.95 + g1^34*g2^10*t^6.99 + (2*g2^5*t^7.01)/g1^31 + (3*t^7.05)/(g1^19*g2^7) + (2*t^7.1)/(g1^7*g2^19) + 4*g1^2*g2^26*t^7.1 + (g1^5*t^7.15)/g2^31 + 3*g1^14*g2^14*t^7.15 + 2*g1^26*g2^2*t^7.19 + t^7.21/(g1^39*g2^3) + t^7.25/(g1^27*g2^15) + t^7.3/(g1^15*g2^27) + (7*g2^18*t^7.3)/g1^6 + t^7.35/(g1^3*g2^39) + 4*g1^6*g2^6*t^7.35 + (2*g1^18*t^7.4)/g2^6 + (5*g2^10*t^7.5)/g1^14 + (4*t^7.55)/(g1^2*g2^2) + (2*g1^10*t^7.6)/g2^14 + 2*g1^19*g2^31*t^7.6 + g1^31*g2^19*t^7.64 + (3*g2^2*t^7.7)/g1^22 + t^7.75/(g1^10*g2^10) + (2*g1^2*t^7.8)/g2^22 + 4*g1^11*g2^23*t^7.8 + 2*g1^23*g2^11*t^7.85 + t^7.91/(g1^30*g2^6) + t^7.95/(g1^18*g2^18) + (g2^27*t^7.95)/g1^9 + 4*g1^3*g2^15*t^8. + 2*g1^15*g2^3*t^8.05 + g1^36*g2^36*t^8.09 + t^8.11/(g1^38*g2^14) + t^8.15/(g1^26*g2^26) + (g2^19*t^8.15)/g1^17 + t^8.2/(g1^14*g2^38) - (4*g2^7*t^8.2)/g1^5 - (3*g1^7*t^8.25)/g2^5 - (g1^19*t^8.29)/g2^17 + 2*g1^28*g2^28*t^8.3 + (g2^11*t^8.36)/g1^25 - (3*t^8.4)/(g1^13*g2) + (g2^44*t^8.4)/g1^4 - (5*t^8.45)/(g1*g2^13) + g1^8*g2^32*t^8.45 - (g1^11*t^8.5)/g2^25 + 3*g1^20*g2^20*t^8.5 + g1^32*g2^8*t^8.54 + (g2^3*t^8.56)/g1^33 + (g1^44*t^8.59)/g2^4 + t^8.6/(g1^21*g2^9) + (3*g2^36*t^8.6)/g1^12 + t^8.65/(g1^9*g2^21) + 2*g2^24*t^8.65 + (g1^36*t^8.79)/g2^12 + t^8.81/(g1^29*g2^17) + (7*g2^28*t^8.81)/g1^20 + (6*g2^16*t^8.85)/g1^8 - 5*g1^4*g2^4*t^8.9 + (2*g1^28*t^8.99)/g2^20 - t^4.55/(g1^2*g2^2*y) - (g2^5*t^6.75)/(g1^7*y) - t^6.95/(g1^15*g2^3*y) - t^7./(g1^3*g2^15*y) + (g2^14*t^7.4)/(g1^10*y) + (g1^2*g2^2*t^7.45)/y + (2*g2^6*t^7.6)/(g1^18*y) + (4*t^7.65)/(g1^6*g2^6*y) + (g1^6*t^7.7)/(g2^18*y) + t^7.85/(g1^14*g2^14*y) + (2*g1^7*g2^19*t^7.9)/y + (g1^19*g2^7*t^7.95)/y + (6*g2^11*t^8.1)/(g1*y) + (4*g1^11*t^8.15)/(g2*y) + (2*g2^3*t^8.3)/(g1^9*y) + (3*g1^3*t^8.35)/(g2^9*y) + (2*t^8.5)/(g1^17*g2^5*y) + t^8.55/(g1^5*g2^17*y) + (2*g1^16*g2^16*t^8.6)/y + t^8.7/(g1^25*g2^13*y) + t^8.75/(g1^13*g2^25*y) + (g1^8*g2^8*t^8.8)/y + (g2^12*t^8.95)/(g1^12*y) - (t^4.55*y)/(g1^2*g2^2) - (g2^5*t^6.75*y)/g1^7 - (t^6.95*y)/(g1^15*g2^3) - (t^7.*y)/(g1^3*g2^15) + (g2^14*t^7.4*y)/g1^10 + g1^2*g2^2*t^7.45*y + (2*g2^6*t^7.6*y)/g1^18 + (4*t^7.65*y)/(g1^6*g2^6) + (g1^6*t^7.7*y)/g2^18 + (t^7.85*y)/(g1^14*g2^14) + 2*g1^7*g2^19*t^7.9*y + g1^19*g2^7*t^7.95*y + (6*g2^11*t^8.1*y)/g1 + (4*g1^11*t^8.15*y)/g2 + (2*g2^3*t^8.3*y)/g1^9 + (3*g1^3*t^8.35*y)/g2^9 + (2*t^8.5*y)/(g1^17*g2^5) + (t^8.55*y)/(g1^5*g2^17) + 2*g1^16*g2^16*t^8.6*y + (t^8.7*y)/(g1^25*g2^13) + (t^8.75*y)/(g1^13*g2^25) + g1^8*g2^8*t^8.8*y + (g2^12*t^8.95*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3498 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6488 | 0.8557 | 0.7582 | [X:[], M:[0.9483, 1.1551, 0.9483, 0.8449, 0.7414, 0.8362, 0.8449], q:[0.7371, 0.3146], qb:[0.4181, 0.4268], phi:[0.5259]] | t^2.2 + 2*t^2.22 + t^2.51 + 2*t^2.53 + 2*t^2.84 + t^3.47 + t^3.8 + t^4.09 + t^4.11 + t^4.14 + t^4.4 + 2*t^4.42 + 3*t^4.45 + t^4.71 + 4*t^4.73 + 4*t^4.76 + t^5.02 + 4*t^5.04 + 7*t^5.07 + 2*t^5.35 + 4*t^5.38 + 3*t^5.69 - t^6. - t^4.58/y - t^4.58*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1887 | 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_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.636 | 0.8314 | 0.765 | [X:[], M:[0.9582, 1.1254, 0.9582, 0.8746, 0.7463, 0.8164], q:[0.7395, 0.3023], qb:[0.4305, 0.4441], phi:[0.5209]] | t^2.2 + 2*t^2.24 + t^2.45 + t^2.62 + 2*t^2.87 + t^3.38 + t^3.51 + t^3.8 + t^4.15 + t^4.19 + t^4.23 + t^4.4 + 2*t^4.44 + 3*t^4.48 + t^4.65 + 2*t^4.69 + t^4.82 + 2*t^4.86 + t^4.9 + 3*t^5.07 + 4*t^5.11 + t^5.25 + 2*t^5.32 + 2*t^5.5 + t^5.62 + t^5.71 + 4*t^5.75 + t^5.83 - 2*t^6. - t^4.56/y - t^4.56*y | detail |