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 |
|---|---|---|---|---|---|---|---|---|---|
| 1795 | 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_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6272 | 0.8147 | 0.7699 | [X:[], M:[0.9777, 1.0668, 0.9777, 0.7484, 0.785], q:[0.7444, 0.2778], qb:[0.4626, 0.4706], phi:[0.5111]] | [X:[], M:[[4, 4], [-12, -12], [4, 4], [-5, 7], [-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 |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_5$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4q_1\tilde{q}_1$ | . | -3 | t^2.22 + 2*t^2.25 + t^2.35 + 2*t^2.93 + 2*t^3.2 + t^3.62 + t^3.78 + t^4.31 + t^4.33 + t^4.36 + t^4.44 + 2*t^4.47 + 3*t^4.49 + t^4.58 + 2*t^4.6 + t^4.71 + 2*t^5.15 + 4*t^5.18 + 2*t^5.29 + t^5.42 + 3*t^5.45 + 2*t^5.56 + t^5.84 + 4*t^5.87 - 3*t^6. + t^6.02 + 3*t^6.13 + 3*t^6.4 + t^6.53 + 3*t^6.55 + t^6.58 + 2*t^6.6 + 2*t^6.66 + t^6.69 + 4*t^6.71 + 4*t^6.74 + t^6.8 + 2*t^6.82 + t^6.85 + t^6.93 + t^6.96 + t^6.98 + t^7.06 + 2*t^7.24 + t^7.27 + t^7.29 + t^7.38 + 2*t^7.4 + 5*t^7.42 + 2*t^7.51 + 2*t^7.53 + t^7.56 + 3*t^7.64 + t^7.67 + 4*t^7.69 + t^7.78 + 3*t^7.8 + 2*t^7.91 + t^7.93 + t^8.06 + 2*t^8.09 + 5*t^8.11 + t^8.14 - t^8.22 - 7*t^8.25 + t^8.27 - 3*t^8.35 + 3*t^8.38 + 3*t^8.49 + 2*t^8.62 + t^8.64 + 4*t^8.65 + t^8.67 + t^8.69 + t^8.71 + t^8.75 + 3*t^8.76 + 3*t^8.78 + 6*t^8.8 + t^8.82 + 3*t^8.85 + 2*t^8.89 + t^8.91 - 7*t^8.93 + 4*t^8.96 + 5*t^8.98 - t^4.53/y - t^6.78/y - t^6.89/y + t^7.33/y + t^7.47/y + t^7.49/y + t^7.58/y + (3*t^7.6)/y - t^7.73/y + (2*t^8.15)/y + (5*t^8.18)/y + (3*t^8.29)/y + (2*t^8.42)/y + (4*t^8.45)/y + (2*t^8.56)/y + t^8.84/y + (3*t^8.87)/y + t^8.98/y - t^4.53*y - t^6.78*y - t^6.89*y + t^7.33*y + t^7.47*y + t^7.49*y + t^7.58*y + 3*t^7.6*y - t^7.73*y + 2*t^8.15*y + 5*t^8.18*y + 3*t^8.29*y + 2*t^8.42*y + 4*t^8.45*y + 2*t^8.56*y + t^8.84*y + 3*t^8.87*y + t^8.98*y | (g1^7*t^2.22)/g2^5 + (2*g2^7*t^2.25)/g1^5 + t^2.35/(g1*g2^13) + 2*g1^4*g2^4*t^2.93 + (2*t^3.2)/(g1^12*g2^12) + g1^13*g2*t^3.62 + (g2^5*t^3.78)/g1^7 + (g1^22*t^4.31)/g2^2 + g1^10*g2^10*t^4.33 + (g2^22*t^4.36)/g1^2 + (g1^14*t^4.44)/g2^10 + 2*g1^2*g2^2*t^4.47 + (3*g2^14*t^4.49)/g1^10 + (g1^6*t^4.58)/g2^18 + (2*t^4.6)/(g1^6*g2^6) + t^4.71/(g1^2*g2^26) + (2*g1^11*t^5.15)/g2 + (4*g2^11*t^5.18)/g1 + (2*g1^3*t^5.29)/g2^9 + t^5.42/(g1^5*g2^17) + (3*t^5.45)/(g1^17*g2^5) + (2*t^5.56)/(g1^13*g2^25) + (g1^20*t^5.84)/g2^4 + 4*g1^8*g2^8*t^5.87 - 3*t^6. + (g2^12*t^6.02)/g1^12 + (3*t^6.13)/(g1^8*g2^8) + (3*t^6.4)/(g1^24*g2^24) + (g1^29*t^6.53)/g2^7 + 3*g1^17*g2^5*t^6.55 + g1^5*g2^17*t^6.58 + (2*g2^29*t^6.6)/g1^7 + (2*g1^21*t^6.66)/g2^15 + (g1^9*t^6.69)/g2^3 + (4*g2^9*t^6.71)/g1^3 + (4*g2^21*t^6.74)/g1^15 + (g1^13*t^6.8)/g2^23 + (2*g1*t^6.82)/g2^11 + (g2*t^6.85)/g1^11 + (g1^5*t^6.93)/g2^31 + t^6.96/(g1^7*g2^19) + t^6.98/(g1^19*g2^7) + t^7.06/(g1^3*g2^39) + 2*g1^26*g2^2*t^7.24 + g1^14*g2^14*t^7.27 + g1^2*g2^26*t^7.29 + (g1^18*t^7.38)/g2^6 + 2*g1^6*g2^6*t^7.4 + (5*g2^18*t^7.42)/g1^6 + (2*g1^10*t^7.51)/g2^14 + (2*t^7.53)/(g1^2*g2^2) + (g2^10*t^7.56)/g1^14 + (3*g1^2*t^7.64)/g2^22 + t^7.67/(g1^10*g2^10) + (4*g2^2*t^7.69)/g1^22 + t^7.78/(g1^6*g2^30) + (3*t^7.8)/(g1^18*g2^18) + (2*t^7.91)/(g1^14*g2^38) + (g1^35*t^7.93)/g2 + (g1^27*t^8.06)/g2^9 + 2*g1^15*g2^3*t^8.09 + 5*g1^3*g2^15*t^8.11 + (g2^27*t^8.14)/g1^9 - (g1^7*t^8.22)/g2^5 - (7*g2^7*t^8.25)/g1^5 + (g2^19*t^8.27)/g1^17 - (3*t^8.35)/(g1*g2^13) + (3*t^8.38)/(g1^13*g2) + (3*t^8.49)/(g1^9*g2^21) + t^8.62/(g1^17*g2^29) + (g1^44*t^8.62)/g2^4 + g1^32*g2^8*t^8.64 + (4*t^8.65)/(g1^29*g2^17) + g1^20*g2^20*t^8.67 + g1^8*g2^32*t^8.69 + (g2^44*t^8.71)/g1^4 + (g1^36*t^8.75)/g2^12 + (3*t^8.76)/(g1^25*g2^37) + 3*g1^24*t^8.78 + 6*g1^12*g2^12*t^8.8 + g2^24*t^8.82 + (3*g2^36*t^8.85)/g1^12 + (2*g1^28*t^8.89)/g2^20 + (g1^16*t^8.91)/g2^8 - 7*g1^4*g2^4*t^8.93 + (4*g2^16*t^8.96)/g1^8 + (5*g2^28*t^8.98)/g1^20 - t^4.53/(g1^2*g2^2*y) - (g2^5*t^6.78)/(g1^7*y) - t^6.89/(g1^3*g2^15*y) + (g1^10*g2^10*t^7.33)/y + (g1^2*g2^2*t^7.47)/y + (g2^14*t^7.49)/(g1^10*y) + (g1^6*t^7.58)/(g2^18*y) + (3*t^7.6)/(g1^6*g2^6*y) - t^7.73/(g1^14*g2^14*y) + (2*g1^11*t^8.15)/(g2*y) + (5*g2^11*t^8.18)/(g1*y) + (3*g1^3*t^8.29)/(g2^9*y) + (2*t^8.42)/(g1^5*g2^17*y) + (4*t^8.45)/(g1^17*g2^5*y) + (2*t^8.56)/(g1^13*g2^25*y) + (g1^20*t^8.84)/(g2^4*y) + (3*g1^8*g2^8*t^8.87)/y + (g1^12*t^8.98)/(g2^12*y) - (t^4.53*y)/(g1^2*g2^2) - (g2^5*t^6.78*y)/g1^7 - (t^6.89*y)/(g1^3*g2^15) + g1^10*g2^10*t^7.33*y + g1^2*g2^2*t^7.47*y + (g2^14*t^7.49*y)/g1^10 + (g1^6*t^7.58*y)/g2^18 + (3*t^7.6*y)/(g1^6*g2^6) - (t^7.73*y)/(g1^14*g2^14) + (2*g1^11*t^8.15*y)/g2 + (5*g2^11*t^8.18*y)/g1 + (3*g1^3*t^8.29*y)/g2^9 + (2*t^8.42*y)/(g1^5*g2^17) + (4*t^8.45*y)/(g1^17*g2^5) + (2*t^8.56*y)/(g1^13*g2^25) + (g1^20*t^8.84*y)/g2^4 + 3*g1^8*g2^8*t^8.87*y + (g1^12*t^8.98*y)/g2^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2807 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ | 0.6216 | 0.8091 | 0.7682 | [X:[], M:[0.9492, 1.1525, 0.9492, 0.7288, 0.8475], q:[0.7373, 0.3136], qb:[0.4322, 0.4152], phi:[0.5254]] | 2*t^2.19 + t^2.24 + t^2.54 + 2*t^2.85 + 2*t^3.46 + t^3.51 + t^3.76 + t^4.07 + t^4.12 + t^4.17 + 3*t^4.37 + 2*t^4.42 + t^4.47 + 2*t^4.73 + t^4.78 + 4*t^5.03 + 3*t^5.08 + 2*t^5.39 + 3*t^5.64 + 5*t^5.69 + t^5.75 + t^5.95 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 346 | 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_4\phi_1q_2\tilde{q}_1$ | 0.6106 | 0.7864 | 0.7765 | [X:[], M:[0.9696, 1.0912, 0.9696, 0.7332], q:[0.7424, 0.288], qb:[0.4636, 0.4453], phi:[0.5152]] | 2*t^2.2 + t^2.25 + 2*t^2.91 + 2*t^3.27 + t^3.56 + t^3.62 + t^3.75 + t^4.22 + t^4.27 + t^4.33 + 3*t^4.4 + 2*t^4.45 + t^4.51 + 4*t^5.11 + 2*t^5.16 + 3*t^5.47 + t^5.53 + 2*t^5.76 + 5*t^5.82 + t^5.87 + t^5.95 - 3*t^6. - t^4.55/y - t^4.55*y | detail |