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 |
|---|---|---|---|---|---|---|---|---|---|
| 57474 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.1109 | 1.2296 | 0.9035 | [X:[1.52], M:[1.2799, 0.7017], q:[0.403, 0.8646], qb:[0.8953, 0.3969], phi:[0.24]] | [X:[[0, 0, 2]], M:[[0, 0, 3], [-1, 1, -5]], q:[[0, -1, 5], [-1, 0, 1]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$ | ${}$ | -3 | t^2.1 + t^2.4 + t^3.12 + t^3.78 + 2*t^3.84 + t^4.21 + t^4.5 + t^4.56 + t^4.8 + t^5.22 + t^5.28 + t^5.52 + 2*t^5.73 + 2*t^5.79 + t^5.89 + t^5.94 - 3*t^6. - t^6.06 + t^6.18 + 3*t^6.24 + t^6.31 + t^6.61 + t^6.66 - t^6.72 + 2*t^6.9 + 3*t^6.96 + t^7.2 + t^7.33 - t^7.44 - t^7.5 + t^7.57 + 3*t^7.62 + 4*t^7.68 + 2*t^7.84 + t^7.92 - 2*t^7.95 + t^7.99 + t^8.05 - 3*t^8.1 + 2*t^8.13 + t^8.16 + 2*t^8.19 + t^8.29 + 3*t^8.34 - t^8.4 + t^8.42 - t^8.45 + t^8.58 - 2*t^8.61 + 3*t^8.64 - 2*t^8.67 + t^8.71 + t^8.77 - 3*t^8.83 + 2*t^8.85 + t^8.88 + 2*t^8.91 + t^8.16/y^2 - t^8.83/y^2 - t^3.72/y - t^4.44/y - t^5.83/y - t^6.12/y - t^6.55/y - t^6.84/y - (2*t^7.56)/y - t^7.93/y - t^8.28/y + t^8.34/y - t^8.65/y + t^8.89/y + t^8.94/y - t^3.72*y - t^4.44*y - t^5.83*y - t^6.12*y - t^6.55*y - t^6.84*y - 2*t^7.56*y - t^7.93*y - t^8.28*y + t^8.34*y - t^8.65*y + t^8.89*y + t^8.94*y + t^8.16*y^2 - t^8.83*y^2 | (g2*t^2.1)/(g1*g3^5) + g3^5*t^2.4 + g3^4*t^3.12 + (g2*g3*t^3.78)/g1 + 2*g3^3*t^3.84 + (g2^2*t^4.21)/(g1^2*g3^10) + (g2*t^4.5)/g1 + g3^2*t^4.56 + g3^10*t^4.8 + (g2*t^5.22)/(g1*g3) + g3*t^5.28 + g3^9*t^5.52 + (g2^3*t^5.73)/g3^3 + (g3^10*t^5.73)/(g1*g2^2) + (g1*g2^2*t^5.79)/g3 + (g3^12*t^5.79)/g2^3 + (g2^2*t^5.89)/(g1^2*g3^4) + (g2*t^5.94)/(g1*g3^2) - 3*t^6. - (g1*g3^2*t^6.06)/g2 + (g2*g3^6*t^6.18)/g1 + 3*g3^8*t^6.24 + (g2^3*t^6.31)/(g1^3*g3^15) + (g2^2*t^6.61)/(g1^2*g3^5) + (g2*t^6.66)/(g1*g3^3) - t^6.72/g3 + (2*g2*g3^5*t^6.9)/g1 + 3*g3^7*t^6.96 + g3^15*t^7.2 + (g2^2*t^7.33)/(g1^2*g3^6) - t^7.44/g3^2 - (g1*t^7.5)/g2 + (g2^2*g3^2*t^7.57)/g1^2 + (3*g2*g3^4*t^7.62)/g1 + 4*g3^6*t^7.68 + (g2^4*t^7.84)/(g1*g3^8) + (g3^5*t^7.84)/(g1^2*g2) + g3^14*t^7.92 - (g1*g2^2*t^7.95)/g3^4 - (g3^9*t^7.95)/g2^3 + (g2^3*t^7.99)/(g1^3*g3^9) + (g2^2*t^8.05)/(g1^2*g3^7) - (3*g2*t^8.1)/(g1*g3^5) + g2^3*g3^2*t^8.13 + (g3^15*t^8.13)/(g1*g2^2) + t^8.16/g3^3 + g1*g2^2*g3^4*t^8.19 + (g3^17*t^8.19)/g2^3 + (g2^2*g3*t^8.29)/g1^2 + (3*g2*g3^3*t^8.34)/g1 - g3^5*t^8.4 + (g2^4*t^8.42)/(g1^4*g3^20) - (g1*g3^7*t^8.45)/g2 + (g2*g3^11*t^8.58)/g1 - (g2^3*t^8.61)/g3^7 - (g3^6*t^8.61)/(g1*g2^2) + 3*g3^13*t^8.64 - (g1*g2^2*t^8.67)/g3^5 - (g3^8*t^8.67)/g2^3 + (g2^3*t^8.71)/(g1^3*g3^10) + (g2^2*t^8.77)/(g1^2*g3^8) - (3*g2*t^8.83)/(g1*g3^6) + g2^3*g3*t^8.85 + (g3^14*t^8.85)/(g1*g2^2) + t^8.88/g3^4 + g1*g2^2*g3^3*t^8.91 + (g3^16*t^8.91)/g2^3 + t^8.16/(g3^3*y^2) - (g2*t^8.83)/(g1*g3^6*y^2) - t^3.72/(g3*y) - t^4.44/(g3^2*y) - (g2*t^5.83)/(g1*g3^6*y) - (g3^4*t^6.12)/y - (g2*t^6.55)/(g1*g3^7*y) - (g3^3*t^6.84)/y - (2*g3^2*t^7.56)/y - (g2^2*t^7.93)/(g1^2*g3^11*y) - (g3*t^8.28)/y + (g1*g3^3*t^8.34)/(g2*y) - (g2^2*t^8.65)/(g1^2*g3^12*y) + (g2^2*t^8.89)/(g1^2*g3^4*y) + (g2*t^8.94)/(g1*g3^2*y) - (t^3.72*y)/g3 - (t^4.44*y)/g3^2 - (g2*t^5.83*y)/(g1*g3^6) - g3^4*t^6.12*y - (g2*t^6.55*y)/(g1*g3^7) - g3^3*t^6.84*y - 2*g3^2*t^7.56*y - (g2^2*t^7.93*y)/(g1^2*g3^11) - g3*t^8.28*y + (g1*g3^3*t^8.34*y)/g2 - (g2^2*t^8.65*y)/(g1^2*g3^12) + (g2^2*t^8.89*y)/(g1^2*g3^4) + (g2*t^8.94*y)/(g1*g3^2) + (t^8.16*y^2)/g3^3 - (g2*t^8.83*y^2)/(g1*g3^6) |
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 |
|---|---|---|---|---|---|---|---|---|
| 58771 | ${}M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.1162 | 1.2327 | 0.9055 | [X:[1.5365], M:[1.3048, 0.685, 0.927], q:[0.4224, 0.8756], qb:[0.8927, 0.4189], phi:[0.2317]] | t^2.05 + t^2.52 + t^2.78 + t^3.88 + 2*t^3.91 + t^4.11 + t^4.58 + t^4.61 + t^4.84 + t^5.05 + 2*t^5.3 + t^5.56 + 2*t^5.86 + 2*t^5.89 + t^5.94 + t^5.97 - 3*t^6. - t^3.7/y - t^4.39/y - t^5.75/y - t^3.7*y - t^4.39*y - t^5.75*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47915 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.476 | 1.6893 | 0.8737 | [M:[0.9872, 0.9765], q:[0.5118, 0.4754], qb:[0.5118, 0.4754], phi:[0.3376]] | t^2.026 + t^2.852 + t^2.929 + 3*t^2.961 + t^3.865 + 2*t^3.974 + t^4.051 + t^4.083 + 2*t^4.878 + t^4.955 + 5*t^4.987 + t^5.096 + 2*t^5.4 + 2*t^5.51 + t^5.705 + t^5.782 + 3*t^5.814 + t^5.859 + 2*t^5.891 + 6*t^5.923 - 2*t^6. - t^4.013/y - t^5.026/y - t^4.013*y - t^5.026*y | detail |