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 |
---|---|---|---|---|---|---|---|---|---|
5462 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6208 | 0.7837 | 0.7921 | [X:[1.6064], M:[0.8191, 0.7554, 1.1809, 0.3936, 0.8191, 1.0159, 0.9841, 0.7873], q:[0.2952, 0.8857], qb:[0.5239, 0.7207], phi:[0.3936]] | [X:[[4]], M:[[12], [-28], [-12], [-4], [12], [10], [-10], [-8]], q:[[-3], [-9]], qb:[[15], [13]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{7}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.266 + 2*t^2.362 + 2*t^2.457 + t^2.952 + t^3.048 + t^4.229 + t^4.324 + t^4.532 + 2*t^4.628 + 5*t^4.724 + 5*t^4.819 + 3*t^4.915 + t^5.218 + 2*t^5.314 + 3*t^5.41 + 2*t^5.505 - 2*t^6. + 2*t^6.686 + 2*t^6.782 + t^6.799 + 2*t^6.894 + 5*t^6.99 + 8*t^7.085 + 9*t^7.181 + 6*t^7.276 + 4*t^7.372 + t^7.485 + 2*t^7.58 + 4*t^7.676 + 4*t^7.771 + 3*t^7.867 + 2*t^7.963 - 3*t^8.266 - 6*t^8.362 - 6*t^8.457 + t^8.649 - t^8.857 - 3*t^8.952 - t^4.181/y - t^6.447/y - (2*t^6.543)/y - t^6.638/y + (2*t^7.628)/y + (4*t^7.724)/y + (6*t^7.819)/y + (2*t^7.915)/y + t^8.218/y + (3*t^8.314)/y + (4*t^8.41)/y + (2*t^8.505)/y - t^8.713/y - (2*t^8.809)/y - (4*t^8.904)/y - t^4.181*y - t^6.447*y - 2*t^6.543*y - t^6.638*y + 2*t^7.628*y + 4*t^7.724*y + 6*t^7.819*y + 2*t^7.915*y + t^8.218*y + 3*t^8.314*y + 4*t^8.41*y + 2*t^8.505*y - t^8.713*y - 2*t^8.809*y - 4*t^8.904*y | t^2.266/g1^28 + (2*t^2.362)/g1^8 + 2*g1^12*t^2.457 + t^2.952/g1^10 + g1^10*t^3.048 + g1^6*t^4.229 + g1^26*t^4.324 + t^4.532/g1^56 + (2*t^4.628)/g1^36 + (5*t^4.724)/g1^16 + 5*g1^4*t^4.819 + 3*g1^24*t^4.915 + t^5.218/g1^38 + (2*t^5.314)/g1^18 + 3*g1^2*t^5.41 + 2*g1^22*t^5.505 - 2*t^6. + 2*g1^18*t^6.686 + 2*g1^38*t^6.782 + t^6.799/g1^84 + (2*t^6.894)/g1^64 + (5*t^6.99)/g1^44 + (8*t^7.085)/g1^24 + (9*t^7.181)/g1^4 + 6*g1^16*t^7.276 + 4*g1^36*t^7.372 + t^7.485/g1^66 + (2*t^7.58)/g1^46 + (4*t^7.676)/g1^26 + (4*t^7.771)/g1^6 + 3*g1^14*t^7.867 + 2*g1^34*t^7.963 - (3*t^8.266)/g1^28 - (6*t^8.362)/g1^8 - 6*g1^12*t^8.457 + g1^52*t^8.649 - t^8.857/g1^30 - (3*t^8.952)/g1^10 - t^4.181/(g1^4*y) - t^6.447/(g1^32*y) - (2*t^6.543)/(g1^12*y) - (g1^8*t^6.638)/y + (2*t^7.628)/(g1^36*y) + (4*t^7.724)/(g1^16*y) + (6*g1^4*t^7.819)/y + (2*g1^24*t^7.915)/y + t^8.218/(g1^38*y) + (3*t^8.314)/(g1^18*y) + (4*g1^2*t^8.41)/y + (2*g1^22*t^8.505)/y - t^8.713/(g1^60*y) - (2*t^8.809)/(g1^40*y) - (4*t^8.904)/(g1^20*y) - (t^4.181*y)/g1^4 - (t^6.447*y)/g1^32 - (2*t^6.543*y)/g1^12 - g1^8*t^6.638*y + (2*t^7.628*y)/g1^36 + (4*t^7.724*y)/g1^16 + 6*g1^4*t^7.819*y + 2*g1^24*t^7.915*y + (t^8.218*y)/g1^38 + (3*t^8.314*y)/g1^18 + 4*g1^2*t^8.41*y + 2*g1^22*t^8.505*y - (t^8.713*y)/g1^60 - (2*t^8.809*y)/g1^40 - (4*t^8.904*y)/g1^20 |
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 |
---|---|---|---|---|---|---|---|---|
6918 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}M_{9}$ | 0.6227 | 0.7874 | 0.7908 | [X:[1.61], M:[0.8301, 0.7298, 1.1699, 0.39, 0.8301, 1.0251, 0.9749, 0.78, 0.9749], q:[0.2925, 0.8775], qb:[0.5376, 0.7326], phi:[0.39]] | t^2.19 + 2*t^2.34 + 2*t^2.49 + 2*t^2.925 + t^4.245 + t^4.379 + t^4.395 + 2*t^4.529 + 5*t^4.68 + 5*t^4.83 + 3*t^4.98 + 2*t^5.114 + 3*t^5.265 + 3*t^5.415 + 2*t^5.85 - 3*t^6. - t^4.17/y - t^4.17*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3853 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ | 0.6036 | 0.7534 | 0.8013 | [X:[1.6046], M:[0.8137, 0.768, 1.1863, 0.3954, 0.8137, 1.0114, 0.9886], q:[0.2966, 0.8897], qb:[0.5171, 0.7149], phi:[0.3954]] | t^2.304 + t^2.373 + 2*t^2.441 + t^2.966 + t^3.034 + t^3.627 + t^4.221 + t^4.289 + t^4.608 + t^4.677 + 3*t^4.745 + 3*t^4.814 + 3*t^4.882 + t^5.27 + t^5.338 + 2*t^5.407 + 2*t^5.475 + t^5.931 - t^6. - t^4.186/y - t^4.186*y | detail |