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 |
|---|---|---|---|---|---|---|---|---|---|
| 51119 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_4M_7$ | 0.6704 | 0.8308 | 0.8069 | [X:[], M:[1.1573, 0.9835, 0.8427, 0.7473, 0.8881, 0.7246, 1.2527], q:[0.3736, 0.4691], qb:[0.6428, 0.7836], phi:[0.4327]] | [X:[], M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [1, -15], [1, -5], [-2, 16]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_2$, $ M_1$, $ \phi_1q_1^2$, $ M_7$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_6$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_6$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_6$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_5$, $ \phi_1^4$, $ M_5\phi_1^2$, $ M_5^2$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_1M_6$, $ M_2^2$, $ M_6M_7$ | . | -2 | t^2.17 + t^2.53 + t^2.6 + t^2.66 + t^2.95 + t^3.47 + t^3.54 + t^3.76 + t^4.11 + t^4.28 + 2*t^4.35 + t^4.63 + t^4.7 + t^4.77 + t^4.84 + t^5.06 + 2*t^5.12 + t^5.16 + t^5.19 + t^5.26 + t^5.33 + t^5.55 + t^5.61 + t^5.65 + t^5.9 + t^5.93 - 2*t^6. + t^6.07 + 2*t^6.14 + t^6.2 + t^6.29 + t^6.42 + t^6.45 + t^6.52 + t^6.64 + 2*t^6.71 + t^6.88 + 2*t^6.94 + 2*t^7.01 + t^7.06 + t^7.08 + 2*t^7.23 + 2*t^7.3 + t^7.33 + t^7.37 + t^7.43 + t^7.5 + t^7.58 + t^7.65 + 2*t^7.72 + t^7.75 + 2*t^7.79 + 2*t^7.82 + t^7.86 + t^7.87 + t^7.89 + t^7.92 + t^7.99 + t^8.07 + t^8.11 + t^8.14 - 3*t^8.17 + t^8.21 + t^8.22 + t^8.28 + t^8.31 + t^8.39 + t^8.5 - 2*t^8.53 + t^8.57 - t^8.6 + 2*t^8.63 - 2*t^8.66 + 2*t^8.7 + t^8.73 + t^8.75 + 2*t^8.8 + t^8.81 + t^8.85 + t^8.87 + t^8.88 + t^8.91 - 3*t^8.95 - t^8.98 - t^4.3/y - t^6.47/y - t^6.89/y - t^6.96/y - t^7.25/y + t^7.35/y + t^7.63/y + (2*t^7.7)/y + t^7.77/y + t^7.84/y + (3*t^8.12)/y + t^8.19/y + t^8.26/y + t^8.48/y + t^8.55/y + t^8.61/y + t^8.71/y + t^8.93/y - t^4.3*y - t^6.47*y - t^6.89*y - t^6.96*y - t^7.25*y + t^7.35*y + t^7.63*y + 2*t^7.7*y + t^7.77*y + t^7.84*y + 3*t^8.12*y + t^8.19*y + t^8.26*y + t^8.48*y + t^8.55*y + t^8.61*y + t^8.71*y + t^8.93*y | (g1*t^2.17)/g2^5 + (g2^7*t^2.53)/g1 + t^2.6/g2^4 + (g1*t^2.66)/g2^15 + (g2^8*t^2.95)/g1^2 + (g1*t^3.47)/g2^7 + (g1^2*t^3.54)/g2^18 + (g2^16*t^3.76)/g1^2 + (g2^28*t^4.11)/g1^4 + g1*g2*t^4.28 + (2*g1^2*t^4.35)/g2^10 + (g2^13*t^4.63)/g1 + g2^2*t^4.7 + (g1*t^4.77)/g2^9 + (g1^2*t^4.84)/g2^20 + (g2^14*t^5.06)/g1^2 + (2*g2^3*t^5.12)/g1 + (g1^2*t^5.16)/g2^2 + t^5.19/g2^8 + (g1*t^5.26)/g2^19 + (g1^2*t^5.33)/g2^30 + (g2^4*t^5.55)/g1^2 + t^5.61/(g1*g2^7) + (g1^2*t^5.65)/g2^12 + (g2^16*t^5.9)/g1^4 + (g2^11*t^5.93)/g1 - 2*t^6. + (g1*t^6.07)/g2^11 + (2*g1^2*t^6.14)/g2^22 + (g1^3*t^6.2)/g2^33 + (g2^23*t^6.29)/g1^3 + (g2*t^6.42)/g1 + (g1^2*t^6.45)/g2^4 + (g1^3*t^6.52)/g2^15 + (g2^35*t^6.64)/g1^5 + (2*g2^24*t^6.71)/g1^4 + (g1*t^6.88)/g2^3 + (2*g1^2*t^6.94)/g2^14 + (2*g1^3*t^7.01)/g2^25 + (g2^36*t^7.06)/g1^6 + (g1^4*t^7.08)/g2^36 + (2*g2^9*t^7.23)/g1 + (2*t^7.3)/g2^2 + (g1^3*t^7.33)/g2^7 + (g1*t^7.37)/g2^13 + (g1^2*t^7.43)/g2^24 + (g1^3*t^7.5)/g2^35 + (g2^21*t^7.58)/g1^3 + (g2^10*t^7.65)/g1^2 + (2*t^7.72)/(g1*g2) + (g1^2*t^7.75)/g2^6 + (2*t^7.79)/g2^12 + (2*g1^3*t^7.82)/g2^17 + (g1*t^7.86)/g2^23 + (g2^44*t^7.87)/g1^6 + (g1^4*t^7.89)/g2^28 + (g1^2*t^7.92)/g2^34 + (g1^3*t^7.99)/g2^45 + (g2^11*t^8.07)/g1^3 + g2^6*t^8.11 + t^8.14/g1^2 - (3*g1*t^8.17)/g2^5 + t^8.21/(g1*g2^11) + (g2^56*t^8.22)/g1^8 + t^8.28/g2^22 + (g1^3*t^8.31)/g2^27 + (g2^29*t^8.39)/g1^3 + (g2^12*t^8.5)/g1^4 - (2*g2^7*t^8.53)/g1 + (g2*t^8.57)/g1^3 - t^8.6/g2^4 + (2*g1^3*t^8.63)/g2^9 - (2*g1*t^8.66)/g2^15 + (2*g1^4*t^8.7)/g2^20 + (g1^2*t^8.73)/g2^26 + (g2^41*t^8.75)/g1^5 + (2*g1^3*t^8.8)/g2^37 + (g2^30*t^8.81)/g1^4 + (g2^24*t^8.85)/g1^6 + (g1^4*t^8.87)/g2^48 + (g2^19*t^8.88)/g1^3 + g2^14*t^8.91 - (3*g2^8*t^8.95)/g1^2 - g1*g2^3*t^8.98 - t^4.3/(g2^2*y) - (g1*t^6.47)/(g2^7*y) - t^6.89/(g2^6*y) - (g1*t^6.96)/(g2^17*y) - (g2^6*t^7.25)/(g1^2*y) + (g1^2*t^7.35)/(g2^10*y) + (g2^13*t^7.63)/(g1*y) + (2*g2^2*t^7.7)/y + (g1*t^7.77)/(g2^9*y) + (g1^2*t^7.84)/(g2^20*y) + (3*g2^3*t^8.12)/(g1*y) + t^8.19/(g2^8*y) + (g1*t^8.26)/(g2^19*y) + (g2^15*t^8.48)/(g1^3*y) + (g2^4*t^8.55)/(g1^2*y) + t^8.61/(g1*g2^7*y) + (g1^3*t^8.71)/(g2^23*y) + (g2^11*t^8.93)/(g1*y) - (t^4.3*y)/g2^2 - (g1*t^6.47*y)/g2^7 - (t^6.89*y)/g2^6 - (g1*t^6.96*y)/g2^17 - (g2^6*t^7.25*y)/g1^2 + (g1^2*t^7.35*y)/g2^10 + (g2^13*t^7.63*y)/g1 + 2*g2^2*t^7.7*y + (g1*t^7.77*y)/g2^9 + (g1^2*t^7.84*y)/g2^20 + (3*g2^3*t^8.12*y)/g1 + (t^8.19*y)/g2^8 + (g1*t^8.26*y)/g2^19 + (g2^15*t^8.48*y)/g1^3 + (g2^4*t^8.55*y)/g1^2 + (t^8.61*y)/(g1*g2^7) + (g1^3*t^8.71*y)/g2^23 + (g2^11*t^8.93*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56252 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_4M_7$ + $ M_1M_8$ | 0.6843 | 0.8549 | 0.8004 | [X:[], M:[1.1636, 0.972, 0.8364, 0.7603, 0.8959, 0.7305, 1.2397, 0.8364], q:[0.3801, 0.4563], qb:[0.6479, 0.7835], phi:[0.4331]] | t^2.19 + 2*t^2.51 + t^2.6 + t^2.69 + t^2.92 + t^3.58 + t^3.72 + t^4.04 + t^4.29 + 2*t^4.38 + t^4.61 + 2*t^4.7 + t^4.79 + t^4.88 + 3*t^5.02 + 3*t^5.11 + t^5.19 + 2*t^5.2 + t^5.29 + t^5.38 + t^5.43 + t^5.51 + t^5.6 + t^5.83 + t^5.91 - 3*t^6. - t^4.3/y - t^4.3*y | detail | |
| 56250 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_4M_7$ + $ M_5\phi_1^2$ | 0.6537 | 0.8118 | 0.8053 | [X:[], M:[1.1758, 1.0604, 0.8242, 0.8224, 1.0586, 0.7051, 1.1776], q:[0.4112, 0.413], qb:[0.5284, 0.7647], phi:[0.4707]] | t^2.12 + t^2.47 + t^2.82 + 2*t^3.18 + 2*t^3.53 + 2*t^3.88 + t^3.89 + 2*t^4.23 + t^4.24 + t^4.58 + t^4.59 + 2*t^4.94 + t^5.29 + 2*t^5.3 + t^5.64 + 2*t^5.65 + t^5.99 - t^6. - t^4.41/y - t^4.41*y | detail | |
| 56251 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_4M_7$ + $ M_8\phi_1^2$ | 0.659 | 0.8115 | 0.8121 | [X:[], M:[1.1582, 1.0037, 0.8418, 0.7564, 0.9183, 0.7182, 1.2436, 1.12], q:[0.3782, 0.4636], qb:[0.6181, 0.78], phi:[0.44]] | t^2.15 + t^2.53 + t^2.75 + t^3.01 + t^3.36 + t^3.47 + t^3.59 + t^3.73 + t^4.1 + t^4.19 + 2*t^4.31 + t^4.57 + t^4.68 + t^4.91 + t^5.03 + t^5.05 + t^5.17 + 2*t^5.51 + t^5.63 + t^5.77 + 2*t^5.89 - 2*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46820 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ | 0.6898 | 0.8671 | 0.7956 | [X:[], M:[1.1511, 0.9905, 0.8489, 0.7331, 0.8747, 0.7202], q:[0.3665, 0.4824], qb:[0.6429, 0.7846], phi:[0.4309]] | t^2.16 + t^2.2 + t^2.55 + t^2.59 + t^2.62 + t^2.97 + t^3.45 + t^3.49 + t^4.19 + t^4.28 + 2*t^4.32 + t^4.36 + t^4.4 + t^4.67 + t^4.71 + 2*t^4.75 + 2*t^4.78 + t^4.82 + t^5.09 + 2*t^5.13 + t^5.15 + 2*t^5.17 + t^5.21 + t^5.25 + t^5.56 + t^5.6 + t^5.61 + t^5.65 + t^5.69 + t^5.94 - 2*t^6. - t^4.29/y - t^4.29*y | detail |