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 |
|---|---|---|---|---|---|---|---|---|---|
| 81 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ | 0.7025 | 0.8516 | 0.8249 | [X:[], M:[0.6751, 0.8682], q:[0.8071, 0.5178], qb:[0.5659, 0.5659], phi:[0.3858]] | [X:[], M:[[-8, -1, -1], [0, -7, -7]], q:[[1, 1, 1], [7, 0, 0]], qb:[[0, 7, 0], [0, 0, 7]], phi:[[-2, -2, -2]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1\phi_1^2$, $ \phi_1q_2\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$, $ M_1M_2$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$ | . | -5 | t^2.03 + t^2.31 + t^2.6 + 2*t^3.25 + t^4.05 + 2*t^4.12 + t^4.26 + t^4.34 + 2*t^4.41 + 3*t^4.55 + 2*t^4.63 + t^4.92 + t^5.21 + 2*t^5.28 + 2*t^5.57 - 5*t^6. + t^6.08 + t^6.37 + 2*t^6.43 + 3*t^6.5 + 4*t^6.58 + 2*t^6.66 + 2*t^6.72 + 3*t^6.87 + 2*t^6.94 - t^7.16 + 2*t^7.23 + 3*t^7.37 + 3*t^7.52 + 2*t^7.59 + 3*t^7.66 + 4*t^7.8 + t^7.81 + 2*t^7.88 - t^7.95 - 5*t^8.03 - 2*t^8.09 + t^8.1 - 5*t^8.31 + t^8.39 + 4*t^8.53 + t^8.6 + 6*t^8.67 + 2*t^8.68 + 2*t^8.75 + 5*t^8.82 + 4*t^8.89 + 2*t^8.96 + 2*t^8.97 - t^4.16/y - t^6.18/y - t^6.47/y - t^6.76/y + t^7.34/y + t^7.55/y + t^7.63/y + t^7.84/y + t^7.92/y + t^8.13/y - t^8.21/y + (2*t^8.28)/y - t^8.5/y + (2*t^8.57)/y - (2*t^8.79)/y + (2*t^8.86)/y - t^4.16*y - t^6.18*y - t^6.47*y - t^6.76*y + t^7.34*y + t^7.55*y + t^7.63*y + t^7.84*y + t^7.92*y + t^8.13*y - t^8.21*y + 2*t^8.28*y - t^8.5*y + 2*t^8.57*y - 2*t^8.79*y + 2*t^8.86*y | t^2.03/(g1^8*g2*g3) + t^2.31/(g1^4*g2^4*g3^4) + t^2.6/(g2^7*g3^7) + g1^7*g2^7*t^3.25 + g1^7*g3^7*t^3.25 + t^4.05/(g1^16*g2^2*g3^2) + g1*g2^8*g3*t^4.12 + g1*g2*g3^8*t^4.12 + (g1^12*t^4.26)/(g2^2*g3^2) + t^4.34/(g1^12*g2^5*g3^5) + (g1^5*g2^5*t^4.41)/g3^2 + (g1^5*g3^5*t^4.41)/g2^2 + (g2^12*t^4.55)/(g1^2*g3^2) + (g2^5*g3^5*t^4.55)/g1^2 + (g3^12*t^4.55)/(g1^2*g2^2) + (2*t^4.63)/(g1^8*g2^8*g3^8) + t^4.92/(g1^4*g2^11*g3^11) + t^5.21/(g2^14*g3^14) + (g2^6*t^5.28)/(g1*g3) + (g3^6*t^5.28)/(g1*g2) + (g1^3*g2^3*t^5.57)/g3^4 + (g1^3*g3^3*t^5.57)/g2^4 - 3*t^6. - (g2^7*t^6.)/g3^7 - (g3^7*t^6.)/g2^7 + t^6.08/(g1^24*g2^3*g3^3) + t^6.37/(g1^20*g2^6*g3^6) + (g2^4*t^6.43)/(g1^3*g3^3) + (g3^4*t^6.43)/(g1^3*g2^3) + g1^14*g2^14*t^6.5 + g1^14*g2^7*g3^7*t^6.5 + g1^14*g3^14*t^6.5 + (g1^8*t^6.58)/(g2^6*g3^6) + (g2^11*t^6.58)/(g1^10*g3^3) + (g2^4*g3^4*t^6.58)/g1^10 + (g3^11*t^6.58)/(g1^10*g2^3) + (2*t^6.66)/(g1^16*g2^9*g3^9) + (g1*g2*t^6.72)/g3^6 + (g1*g3*t^6.72)/g2^6 + (g1^12*t^6.87)/(g2^9*g3^9) + (g2^8*t^6.87)/(g1^6*g3^6) + (g3^8*t^6.87)/(g1^6*g2^6) + (2*t^6.94)/(g1^12*g2^12*g3^12) - t^7.16/(g1^2*g2^2*g3^2) + (2*t^7.23)/(g1^8*g2^15*g3^15) + g1^8*g2^15*g3*t^7.37 + g1^8*g2^8*g3^8*t^7.37 + g1^8*g2*g3^15*t^7.37 + t^7.52/(g1^4*g2^18*g3^18) + (g1^19*g2^5*t^7.52)/g3^2 + (g1^19*g3^5*t^7.52)/g2^2 + (g2^2*t^7.59)/(g1^5*g3^5) + (g3^2*t^7.59)/(g1^5*g2^5) + (g1^12*g2^12*t^7.66)/g3^2 + g1^12*g2^5*g3^5*t^7.66 + (g1^12*g3^12*t^7.66)/g2^2 + (g1^5*g2^19*t^7.8)/g3^2 + g1^5*g2^12*g3^5*t^7.8 + g1^5*g2^5*g3^12*t^7.8 + (g1^5*g3^19*t^7.8)/g2^2 + t^7.81/(g2^21*g3^21) + t^7.88/(g1*g2*g3^8) + t^7.88/(g1*g2^8*g3) - g1^16*g2^2*g3^2*t^7.95 - (g2^6*t^8.03)/(g1^8*g3^8) - (3*t^8.03)/(g1^8*g2*g3) - (g3^6*t^8.03)/(g1^8*g2^8) - g1^9*g2^9*g3^2*t^8.09 - g1^9*g2^2*g3^9*t^8.09 + t^8.1/(g1^32*g2^4*g3^4) - (g2^3*t^8.31)/(g1^4*g3^11) - (3*t^8.31)/(g1^4*g2^4*g3^4) - (g3^3*t^8.31)/(g1^4*g2^11) + t^8.39/(g1^28*g2^7*g3^7) + (g1^24*t^8.53)/(g2^4*g3^4) + (g1^6*g2^13*t^8.53)/g3 + g1^6*g2^6*g3^6*t^8.53 + (g1^6*g3^13*t^8.53)/g2 - (2*t^8.6)/(g2^7*g3^7) + (g2^10*t^8.6)/(g1^18*g3^4) + (g2^3*g3^3*t^8.6)/g1^18 + (g3^10*t^8.6)/(g1^18*g2^4) + (g1^17*g2^3*t^8.67)/g3^4 + (g2^20*t^8.67)/(g1*g3) + (g1^17*g3^3*t^8.67)/g2^4 + (g2^13*g3^6*t^8.67)/g1 + (g2^6*g3^13*t^8.67)/g1 + (g3^20*t^8.67)/(g1*g2) + (2*t^8.68)/(g1^24*g2^10*g3^10) + t^8.75/(g1^7*g2^7) + t^8.75/(g1^7*g3^7) + (2*g1^10*g2^10*t^8.82)/g3^4 + g1^10*g2^3*g3^3*t^8.82 + (2*g1^10*g3^10*t^8.82)/g2^4 + t^8.89/g1^14 + (g1^4*t^8.89)/(g2^10*g3^10) + (g2^7*t^8.89)/(g1^14*g3^7) + (g3^7*t^8.89)/(g1^14*g2^7) + (g1^3*g2^17*t^8.96)/g3^4 + (g1^3*g3^17*t^8.96)/g2^4 + (2*t^8.97)/(g1^20*g2^13*g3^13) - t^4.16/(g1^2*g2^2*g3^2*y) - t^6.18/(g1^10*g2^3*g3^3*y) - t^6.47/(g1^6*g2^6*g3^6*y) - t^6.76/(g1^2*g2^9*g3^9*y) + t^7.34/(g1^12*g2^5*g3^5*y) + (g2^5*g3^5*t^7.55)/(g1^2*y) + t^7.63/(g1^8*g2^8*g3^8*y) + (g1^2*g2^2*g3^2*t^7.84)/y + t^7.92/(g1^4*g2^11*g3^11*y) + (g1^6*t^8.13)/(g2*g3*y) - t^8.21/(g1^18*g2^4*g3^4*y) + (g2^6*t^8.28)/(g1*g3*y) + (g3^6*t^8.28)/(g1*g2*y) - t^8.5/(g1^14*g2^7*g3^7*y) + (g1^3*g2^3*t^8.57)/(g3^4*y) + (g1^3*g3^3*t^8.57)/(g2^4*y) - (2*t^8.79)/(g1^10*g2^10*g3^10*y) + (g1^7*t^8.86)/(g2^7*y) + (g1^7*t^8.86)/(g3^7*y) - (t^4.16*y)/(g1^2*g2^2*g3^2) - (t^6.18*y)/(g1^10*g2^3*g3^3) - (t^6.47*y)/(g1^6*g2^6*g3^6) - (t^6.76*y)/(g1^2*g2^9*g3^9) + (t^7.34*y)/(g1^12*g2^5*g3^5) + (g2^5*g3^5*t^7.55*y)/g1^2 + (t^7.63*y)/(g1^8*g2^8*g3^8) + g1^2*g2^2*g3^2*t^7.84*y + (t^7.92*y)/(g1^4*g2^11*g3^11) + (g1^6*t^8.13*y)/(g2*g3) - (t^8.21*y)/(g1^18*g2^4*g3^4) + (g2^6*t^8.28*y)/(g1*g3) + (g3^6*t^8.28*y)/(g1*g2) - (t^8.5*y)/(g1^14*g2^7*g3^7) + (g1^3*g2^3*t^8.57*y)/g3^4 + (g1^3*g3^3*t^8.57*y)/g2^4 - (2*t^8.79*y)/(g1^10*g2^10*g3^10) + (g1^7*t^8.86*y)/g2^7 + (g1^7*t^8.86*y)/g3^7 |
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 |
|---|---|---|---|---|---|---|---|---|
| 131 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ | 0.5887 | 0.7456 | 0.7895 | [X:[], M:[0.9784, 1.0648], q:[0.7446, 0.277], qb:[0.4676, 0.4676], phi:[0.5108]] | 2*t^2.23 + t^2.94 + t^3.06 + 2*t^3.19 + 2*t^3.64 + 2*t^3.77 + 3*t^4.34 + 3*t^4.47 + 2*t^5.17 + 2*t^5.3 + 2*t^5.43 + 4*t^5.87 - t^6. - t^4.53/y - t^4.53*y | detail | |
| 130 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ | 0.5943 | 0.7486 | 0.7938 | [X:[], M:[1.0, 0.8787], q:[0.7652, 0.2348], qb:[0.5607, 0.5607], phi:[0.4697]] | 2*t^2.39 + t^2.64 + 2*t^2.82 + t^3. + 2*t^3.8 + 2*t^3.98 + 6*t^4.77 + 4*t^5.2 + t^5.27 + 2*t^5.39 + 2*t^5.45 + 4*t^5.64 + t^5.82 - 5*t^6. - t^4.41/y - t^4.41*y | detail | |
| 134 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ | 0.694 | 0.8411 | 0.8251 | [X:[], M:[0.6741, 0.9479, 1.0521], q:[0.7973, 0.5287], qb:[0.5261, 0.5261], phi:[0.4055]] | t^2.02 + t^2.43 + 3*t^3.16 + 2*t^3.97 + t^4.04 + 3*t^4.37 + 2*t^4.38 + t^4.39 + t^4.46 + t^4.87 + t^5.18 + 2*t^5.19 + t^5.59 + 2*t^5.6 - 5*t^6. - t^4.22/y - t^4.22*y | detail | |
| 132 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ | 0.6721 | 0.8254 | 0.8143 | [X:[], M:[0.715, 1.095], q:[0.7738, 0.5113], qb:[0.4525, 0.4525], phi:[0.4525]] | t^2.14 + t^2.71 + 2*t^2.89 + t^3.29 + 2*t^3.68 + 3*t^4.07 + 2*t^4.25 + t^4.29 + t^4.43 + t^4.86 + 2*t^5.04 + 2*t^5.43 + 2*t^5.61 + 3*t^5.78 - 4*t^6. - t^4.36/y - t^4.36*y | detail | |
| 133 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2^2$ | 0.6926 | 0.8437 | 0.8209 | [X:[], M:[0.6734, 1.0], q:[0.7908, 0.5357], qb:[0.5, 0.5], phi:[0.4184]] | t^2.02 + t^2.51 + t^3. + 2*t^3.11 + 2*t^3.87 + t^4.04 + 3*t^4.26 + 2*t^4.36 + t^4.47 + t^4.53 + 2*t^5.02 + 2*t^5.13 + t^5.51 + 2*t^5.62 - 4*t^6. - t^4.26/y - t^4.26*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ | 0.7382 | 0.8885 | 0.8308 | [X:[], M:[0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]] | 3*t^2.43 + 4*t^3.57 + 10*t^4.78 + 6*t^4.86 - 4*t^6. - t^4.22/y - t^4.22*y | detail |