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 |
|---|---|---|---|---|---|---|---|---|---|
| 2063 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6694 | 0.8378 | 0.799 | [M:[0.8331, 1.0556, 1.1669, 0.7218, 0.8331, 1.0556], q:[0.403, 0.7639], qb:[0.4301, 0.5143], phi:[0.4722]] | [M:[[-12], [4], [12], [-20], [-12], [4]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | -2 | t^2.165 + 2*t^2.499 + t^2.752 + 2*t^3.167 + t^3.582 + t^3.835 + t^3.916 + t^3.997 + t^4.168 + t^4.25 + t^4.331 + t^4.502 + 2*t^4.665 + t^4.917 + 3*t^4.998 + 2*t^5.251 + 2*t^5.332 + t^5.504 + 3*t^5.666 + t^5.919 - 2*t^6. + 2*t^6.081 + t^6.162 - t^6.253 + 4*t^6.334 + 2*t^6.415 + 3*t^6.496 + t^6.587 + 2*t^6.668 + 3*t^6.749 + 2*t^6.83 + t^6.92 + 2*t^7.002 + 4*t^7.164 + t^7.254 + t^7.417 + 5*t^7.498 + t^7.579 + t^7.669 + 2*t^7.75 + 4*t^7.832 + t^7.913 + t^7.994 + 2*t^8.003 + t^8.084 + 2*t^8.165 + t^8.246 + t^8.256 + t^8.328 + t^8.337 - 2*t^8.499 + 3*t^8.58 + 3*t^8.661 + 2*t^8.671 - 3*t^8.752 + 4*t^8.833 + 3*t^8.914 + 5*t^8.995 - t^4.417/y - t^6.582/y - t^6.916/y + t^7.25/y - t^7.583/y + (2*t^7.665)/y + (2*t^7.917)/y + t^7.998/y + (3*t^8.251)/y + (2*t^8.332)/y + (4*t^8.666)/y + (2*t^8.919)/y - t^4.417*y - t^6.582*y - t^6.916*y + t^7.25*y - t^7.583*y + 2*t^7.665*y + 2*t^7.917*y + t^7.998*y + 3*t^8.251*y + 2*t^8.332*y + 4*t^8.666*y + 2*t^8.919*y | t^2.165/g1^20 + (2*t^2.499)/g1^12 + g1^30*t^2.752 + 2*g1^4*t^3.167 + t^3.582/g1^22 + g1^20*t^3.835 + t^3.916/g1^14 + t^3.997/g1^48 + g1^28*t^4.168 + t^4.25/g1^6 + t^4.331/g1^40 + g1^36*t^4.502 + (2*t^4.665)/g1^32 + g1^10*t^4.917 + (3*t^4.998)/g1^24 + 2*g1^18*t^5.251 + (2*t^5.332)/g1^16 + g1^60*t^5.504 + (3*t^5.666)/g1^8 + g1^34*t^5.919 - 2*t^6. + (2*t^6.081)/g1^34 + t^6.162/g1^68 - g1^42*t^6.253 + 4*g1^8*t^6.334 + (2*t^6.415)/g1^26 + (3*t^6.496)/g1^60 + g1^50*t^6.587 + 2*g1^16*t^6.668 + (3*t^6.749)/g1^18 + (2*t^6.83)/g1^52 + g1^58*t^6.92 + 2*g1^24*t^7.002 + (4*t^7.164)/g1^44 + g1^66*t^7.254 + t^7.417/g1^2 + (5*t^7.498)/g1^36 + t^7.579/g1^70 + g1^40*t^7.669 + 2*g1^6*t^7.75 + (4*t^7.832)/g1^28 + t^7.913/g1^62 + t^7.994/g1^96 + 2*g1^48*t^8.003 + g1^14*t^8.084 + (2*t^8.165)/g1^20 + t^8.246/g1^54 + g1^90*t^8.256 + t^8.328/g1^88 + g1^56*t^8.337 - (2*t^8.499)/g1^12 + (3*t^8.58)/g1^46 + (3*t^8.661)/g1^80 + 2*g1^64*t^8.671 - 3*g1^30*t^8.752 + (4*t^8.833)/g1^4 + (3*t^8.914)/g1^38 + (5*t^8.995)/g1^72 - t^4.417/(g1^2*y) - t^6.582/(g1^22*y) - t^6.916/(g1^14*y) + t^7.25/(g1^6*y) - (g1^2*t^7.583)/y + (2*t^7.665)/(g1^32*y) + (2*g1^10*t^7.917)/y + t^7.998/(g1^24*y) + (3*g1^18*t^8.251)/y + (2*t^8.332)/(g1^16*y) + (4*t^8.666)/(g1^8*y) + (2*g1^34*t^8.919)/y - (t^4.417*y)/g1^2 - (t^6.582*y)/g1^22 - (t^6.916*y)/g1^14 + (t^7.25*y)/g1^6 - g1^2*t^7.583*y + (2*t^7.665*y)/g1^32 + 2*g1^10*t^7.917*y + (t^7.998*y)/g1^24 + 3*g1^18*t^8.251*y + (2*t^8.332*y)/g1^16 + (4*t^8.666*y)/g1^8 + 2*g1^34*t^8.919*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 3133 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.69 | 0.8775 | 0.7863 | [M:[0.8342, 1.0553, 1.1658, 0.7237, 0.8342, 1.0553, 0.6934], q:[0.402, 0.7638], qb:[0.4323, 0.5125], phi:[0.4724]] | t^2.08 + t^2.171 + 2*t^2.503 + t^2.743 + 2*t^3.166 + t^3.588 + t^3.829 + t^4.011 + 2*t^4.16 + 2*t^4.251 + t^4.342 + t^4.492 + 2*t^4.583 + 2*t^4.674 + t^4.823 + t^4.914 + 3*t^5.005 + 4*t^5.246 + 2*t^5.337 + t^5.487 + 4*t^5.668 + 2*t^5.909 - 2*t^6. - t^4.417/y - t^4.417*y | detail | |
| 3132 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6895 | 0.8758 | 0.7872 | [M:[0.8301, 1.0566, 1.1699, 0.7168, 0.8301, 1.0566, 0.7168], q:[0.4058, 0.7642], qb:[0.4243, 0.519], phi:[0.4717]] | 2*t^2.15 + 2*t^2.49 + t^2.774 + 2*t^3.17 + t^3.565 + t^3.905 + t^3.961 + t^4.189 + t^4.245 + 3*t^4.301 + t^4.529 + 4*t^4.641 + 2*t^4.925 + 3*t^4.98 + 2*t^5.265 + 4*t^5.32 + t^5.549 + 3*t^5.66 + t^5.716 + t^5.944 - 3*t^6. - t^4.415/y - t^4.415*y | detail | |
| 3131 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6635 | 0.8304 | 0.7991 | [M:[0.8173, 1.0609, 1.1827, 0.6956, 0.8173, 1.0609, 1.0434], q:[0.4174, 0.7652], qb:[0.3999, 0.5392], phi:[0.4696]] | t^2.087 + 2*t^2.452 + t^3.13 + 2*t^3.183 + t^3.495 + t^3.808 + t^3.861 + t^3.913 + t^4.173 + t^4.226 + t^4.279 + 2*t^4.539 + t^4.644 + 3*t^4.904 + t^5.217 + 2*t^5.269 + 2*t^5.582 + 3*t^5.635 + t^5.895 + 2*t^5.947 - 2*t^6. - t^4.409/y - t^4.409*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 |
|---|---|---|---|---|---|---|---|---|---|
| 900 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.7013 | 0.8625 | 0.8131 | [M:[0.9319, 1.0227, 1.0681, 0.8864, 0.9319, 1.0227], q:[0.4865, 0.5816], qb:[0.4453, 0.532], phi:[0.4886]] | t^2.659 + 2*t^2.796 + t^3.055 + 2*t^3.068 + t^3.081 + t^4.138 + t^4.262 + t^4.385 + t^4.398 + t^4.521 + t^4.547 + t^4.658 + t^4.67 + t^4.807 + t^4.956 + t^5.319 + 2*t^5.455 + 2*t^5.591 + 2*t^5.727 + t^5.851 + 3*t^5.864 + t^5.876 - 4*t^6. - t^4.466/y - t^4.466*y | detail |