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 |
|---|---|---|---|---|---|---|---|---|---|
| 301 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_1\phi_1^2$ + $ M_1M_4$ | 0.5735 | 0.7428 | 0.772 | [X:[], M:[1.1397, 0.7206, 0.7206, 0.8603], q:[0.5754, 0.9945], qb:[0.2849, 0.4246], phi:[0.4302]] | [X:[], M:[[2, 2], [1, -5], [-9, -3], [-2, -2]], q:[[-5, -2], [6, 3]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\tilde{q}_1\tilde{q}_2$, $ M_2$, $ M_3$, $ M_4$, $ \phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^3\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_3\phi_1\tilde{q}_1^2$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_4q_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^2\tilde{q}_1^4$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | 1 | t^2.13 + 2*t^2.16 + 2*t^2.58 + 2*t^3. + t^3.42 + 2*t^4.26 + 2*t^4.29 + 3*t^4.32 + 3*t^4.71 + 4*t^4.74 + 2*t^5.13 + 6*t^5.16 + t^5.55 + 4*t^5.58 + t^6. + 2*t^6.39 + 2*t^6.42 + 2*t^6.45 + 4*t^6.49 + 2*t^6.84 + 4*t^6.87 + 6*t^6.9 + 2*t^7.26 + 5*t^7.29 + 10*t^7.32 + t^7.68 + 2*t^7.71 + 9*t^7.74 - t^8.13 + 2*t^8.16 + 3*t^8.51 + 2*t^8.61 + 5*t^8.65 + 2*t^8.97 - t^4.29/y - (2*t^6.45)/y - t^6.87/y + (2*t^7.29)/y + t^7.32/y + (3*t^7.71)/y + (4*t^7.74)/y + (4*t^8.13)/y + (5*t^8.16)/y + t^8.55/y + (6*t^8.58)/y - (3*t^8.61)/y - t^4.29*y - 2*t^6.45*y - t^6.87*y + 2*t^7.29*y + t^7.32*y + 3*t^7.71*y + 4*t^7.74*y + 4*t^8.13*y + 5*t^8.16*y + t^8.55*y + 6*t^8.58*y - 3*t^8.61*y | g1^3*g2^3*t^2.13 + (g1*t^2.16)/g2^5 + t^2.16/(g1^9*g2^3) + (2*t^2.58)/(g1^2*g2^2) + (g1^5*t^3.)/g2 + (g2*t^3.)/g1^5 + g1^2*g2^2*t^3.42 + 2*g1^6*g2^6*t^4.26 + t^4.29/g1^6 + (g1^4*t^4.29)/g2^2 + (g1^2*t^4.32)/g2^10 + t^4.32/(g1^8*g2^8) + t^4.32/(g1^18*g2^6) + 3*g1*g2*t^4.71 + (2*t^4.74)/(g1*g2^7) + (2*t^4.74)/(g1^11*g2^5) + g1^8*g2^2*t^5.13 + (g2^4*t^5.13)/g1^2 + (g1^6*t^5.16)/g2^6 + (4*t^5.16)/(g1^4*g2^4) + t^5.16/(g1^14*g2^2) + g1^5*g2^5*t^5.55 + (2*g1^3*t^5.58)/g2^3 + (2*t^5.58)/(g1^7*g2) - t^6. + (g1^10*t^6.)/g2^2 + (g2^2*t^6.)/g1^10 + 2*g1^9*g2^9*t^6.39 + g1^7*g2*t^6.42 + (g2^3*t^6.42)/g1^3 + (g1^5*t^6.45)/g2^7 + t^6.45/(g1^15*g2^3) + (g1^3*t^6.49)/g2^15 + t^6.49/(g1^7*g2^13) + t^6.49/(g1^17*g2^11) + t^6.49/(g1^27*g2^9) + 2*g1^4*g2^4*t^6.84 + (2*g1^2*t^6.87)/g2^4 + (2*t^6.87)/(g1^8*g2^2) + (2*t^6.9)/g2^12 + (2*t^6.9)/(g1^10*g2^10) + (2*t^6.9)/(g1^20*g2^8) + g1^11*g2^5*t^7.26 + g1*g2^7*t^7.26 + (g1^9*t^7.29)/g2^3 + (3*t^7.29)/(g1*g2) + (g2*t^7.29)/g1^11 + (g1^7*t^7.32)/g2^11 + (4*t^7.32)/(g1^3*g2^9) + (4*t^7.32)/(g1^13*g2^7) + t^7.32/(g1^23*g2^5) + g1^8*g2^8*t^7.68 + g1^6*t^7.71 + (g2^2*t^7.71)/g1^4 + (2*g1^4*t^7.74)/g2^8 + (5*t^7.74)/(g1^6*g2^6) + (2*t^7.74)/(g1^16*g2^4) + g1^13*g2*t^8.13 - 3*g1^3*g2^3*t^8.13 + (g2^5*t^8.13)/g1^7 + (g1^11*t^8.16)/g2^7 + t^8.16/(g1^19*g2) + 3*g1^12*g2^12*t^8.51 + (2*t^8.58)/g1^12 + (2*g1^8*t^8.58)/g2^4 - (4*t^8.58)/(g1^2*g2^2) + (g1^6*t^8.61)/g2^12 + t^8.61/(g1^24*g2^6) + (g1^4*t^8.65)/g2^20 + t^8.65/(g1^6*g2^18) + t^8.65/(g1^16*g2^16) + t^8.65/(g1^26*g2^14) + t^8.65/(g1^36*g2^12) + 2*g1^7*g2^7*t^8.97 - t^4.29/(g1*g2*y) - t^6.45/(g2^6*y) - t^6.45/(g1^10*g2^4*y) - t^6.87/(g1^3*g2^3*y) + t^7.29/(g1^6*y) + (g1^4*t^7.29)/(g2^2*y) + t^7.32/(g1^8*g2^8*y) + (3*g1*g2*t^7.71)/y + (2*t^7.74)/(g1*g2^7*y) + (2*t^7.74)/(g1^11*g2^5*y) + (2*g1^8*g2^2*t^8.13)/y + (2*g2^4*t^8.13)/(g1^2*y) + (g1^6*t^8.16)/(g2^6*y) + (3*t^8.16)/(g1^4*g2^4*y) + t^8.16/(g1^14*g2^2*y) + (g1^5*g2^5*t^8.55)/y + (3*g1^3*t^8.58)/(g2^3*y) + (3*t^8.58)/(g1^7*g2*y) - (g1*t^8.61)/(g2^11*y) - t^8.61/(g1^9*g2^9*y) - t^8.61/(g1^19*g2^7*y) - (t^4.29*y)/(g1*g2) - (t^6.45*y)/g2^6 - (t^6.45*y)/(g1^10*g2^4) - (t^6.87*y)/(g1^3*g2^3) + (t^7.29*y)/g1^6 + (g1^4*t^7.29*y)/g2^2 + (t^7.32*y)/(g1^8*g2^8) + 3*g1*g2*t^7.71*y + (2*t^7.74*y)/(g1*g2^7) + (2*t^7.74*y)/(g1^11*g2^5) + 2*g1^8*g2^2*t^8.13*y + (2*g2^4*t^8.13*y)/g1^2 + (g1^6*t^8.16*y)/g2^6 + (3*t^8.16*y)/(g1^4*g2^4) + (t^8.16*y)/(g1^14*g2^2) + g1^5*g2^5*t^8.55*y + (3*g1^3*t^8.58*y)/g2^3 + (3*t^8.58*y)/(g1^7*g2) - (g1*t^8.61*y)/g2^11 - (t^8.61*y)/(g1^9*g2^9) - (t^8.61*y)/(g1^19*g2^7) |
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 |
|---|---|---|---|---|---|---|---|---|
| 475 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_1\phi_1^2$ + $ M_1M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5861 | 0.7654 | 0.7658 | [X:[], M:[1.1472, 0.7055, 0.7055, 0.8528, 0.8528], q:[0.566, 1.0077], qb:[0.2868, 0.434], phi:[0.4264]] | 2*t^2.12 + t^2.16 + 3*t^2.56 + 2*t^3. + 3*t^4.23 + 2*t^4.28 + 2*t^4.33 + 6*t^4.67 + 4*t^4.72 + 9*t^5.12 + 2*t^5.16 + 4*t^5.56 - t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 190 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_1\phi_1^2$ | 0.5615 | 0.7218 | 0.7778 | [X:[], M:[1.1317, 0.7365, 0.7365], q:[0.5853, 0.9805], qb:[0.2829, 0.4147], phi:[0.4341]] | t^2.09 + 2*t^2.21 + t^2.6 + 2*t^3. + 2*t^3.4 + 2*t^4.19 + 2*t^4.3 + 3*t^4.42 + 2*t^4.7 + 2*t^4.81 + 2*t^5.09 + 4*t^5.21 + 2*t^5.49 + 4*t^5.6 + t^6. - t^4.3/y - t^4.3*y | detail |