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 |
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53324 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6883 | 0.8591 | 0.8011 | [M:[1.0127, 1.0886, 1.0886, 0.9114, 0.7342, 0.7087], q:[0.4936, 0.4936], qb:[0.4178, 0.7721], phi:[0.4557]] | [M:[[-22], [4], [4], [-4], [-12], [32]], q:[[11], [11]], qb:[[-15], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}M_{2}M_{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | -2 | t^2.126 + t^2.203 + 2*t^2.734 + t^3.038 + t^3.266 + t^3.57 + t^3.797 + 2*t^4.101 + t^4.252 + 4*t^4.329 + t^4.405 + 2*t^4.86 + 2*t^4.937 + t^5.164 + t^5.241 + t^5.392 + 4*t^5.468 + t^5.696 + t^5.772 + t^5.924 - 2*t^6. + t^6.076 + 4*t^6.304 + t^6.379 + 4*t^6.455 + 4*t^6.532 + 2*t^6.608 + 3*t^6.836 + 2*t^6.987 + 6*t^7.063 + 2*t^7.14 + t^7.291 + t^7.367 + t^7.444 + t^7.518 + 3*t^7.595 + 4*t^7.671 + t^7.822 + 2*t^7.899 + t^7.975 + t^8.05 - t^8.126 + 2*t^8.203 + t^8.279 + 4*t^8.43 + t^8.505 + 3*t^8.507 + 4*t^8.581 + 9*t^8.658 - 2*t^8.734 + 2*t^8.811 - t^8.962 - t^4.367/y - t^6.493/y - t^6.57/y + (2*t^7.329)/y - t^7.405/y + (2*t^7.86)/y + (2*t^7.937)/y + (2*t^8.164)/y + (2*t^8.241)/y + t^8.392/y + (2*t^8.468)/y - t^8.62/y + (2*t^8.772)/y + t^8.924/y - t^4.367*y - t^6.493*y - t^6.57*y + 2*t^7.329*y - t^7.405*y + 2*t^7.86*y + 2*t^7.937*y + 2*t^8.164*y + 2*t^8.241*y + t^8.392*y + 2*t^8.468*y - t^8.62*y + 2*t^8.772*y + t^8.924*y | g1^32*t^2.126 + t^2.203/g1^12 + (2*t^2.734)/g1^4 + t^3.038/g1^22 + g1^4*t^3.266 + t^3.57/g1^14 + g1^12*t^3.797 + (2*t^4.101)/g1^6 + g1^64*t^4.252 + 4*g1^20*t^4.329 + t^4.405/g1^24 + 2*g1^28*t^4.86 + (2*t^4.937)/g1^16 + g1^10*t^5.164 + t^5.241/g1^34 + g1^36*t^5.392 + (4*t^5.468)/g1^8 + g1^18*t^5.696 + t^5.772/g1^26 + g1^44*t^5.924 - 2*t^6. + t^6.076/g1^44 + (4*t^6.304)/g1^18 + g1^96*t^6.379 + 4*g1^52*t^6.455 + 4*g1^8*t^6.532 + (2*t^6.608)/g1^36 + (3*t^6.836)/g1^10 + 2*g1^60*t^6.987 + 6*g1^16*t^7.063 + (2*t^7.14)/g1^28 + g1^42*t^7.291 + t^7.367/g1^2 + t^7.444/g1^46 + g1^68*t^7.518 + 3*g1^24*t^7.595 + (4*t^7.671)/g1^20 + g1^50*t^7.822 + 2*g1^6*t^7.899 + t^7.975/g1^38 + g1^76*t^8.05 - g1^32*t^8.126 + (2*t^8.203)/g1^12 + t^8.279/g1^56 + 4*g1^14*t^8.43 + g1^128*t^8.505 + (3*t^8.507)/g1^30 + 4*g1^84*t^8.581 + 9*g1^40*t^8.658 - (2*t^8.734)/g1^4 + (2*t^8.811)/g1^48 - g1^22*t^8.962 - t^4.367/(g1^2*y) - (g1^30*t^6.493)/y - t^6.57/(g1^14*y) + (2*g1^20*t^7.329)/y - t^7.405/(g1^24*y) + (2*g1^28*t^7.86)/y + (2*t^7.937)/(g1^16*y) + (2*g1^10*t^8.164)/y + (2*t^8.241)/(g1^34*y) + (g1^36*t^8.392)/y + (2*t^8.468)/(g1^8*y) - (g1^62*t^8.62)/y + (2*t^8.772)/(g1^26*y) + (g1^44*t^8.924)/y - (t^4.367*y)/g1^2 - g1^30*t^6.493*y - (t^6.57*y)/g1^14 + 2*g1^20*t^7.329*y - (t^7.405*y)/g1^24 + 2*g1^28*t^7.86*y + (2*t^7.937*y)/g1^16 + 2*g1^10*t^8.164*y + (2*t^8.241*y)/g1^34 + g1^36*t^8.392*y + (2*t^8.468*y)/g1^8 - g1^62*t^8.62*y + (2*t^8.772*y)/g1^26 + g1^44*t^8.924*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 |
---|---|---|---|---|---|---|---|---|
56488 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.6964 | 0.8727 | 0.798 | [M:[1.0073, 1.0896, 1.0896, 0.9104, 0.7313, 0.7166, 0.9104], q:[0.4963, 0.4963], qb:[0.4141, 0.7724], phi:[0.4552]] | t^2.15 + t^2.194 + 3*t^2.731 + t^3.022 + t^3.559 + t^3.806 + 2*t^4.097 + t^4.3 + 4*t^4.344 + t^4.388 + 3*t^4.881 + 3*t^4.925 + t^5.172 + t^5.216 + 6*t^5.463 + t^5.709 + 2*t^5.753 + t^5.956 - 4*t^6. - t^4.366/y - t^4.366*y | detail | |
56487 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6802 | 0.8458 | 0.8042 | [M:[1.0181, 1.0876, 1.0876, 0.9124, 0.7372, 0.7009, 1.0876], q:[0.4909, 0.4909], qb:[0.4214, 0.7719], phi:[0.4562]] | t^2.103 + t^2.211 + t^2.737 + t^3.054 + 2*t^3.263 + t^3.58 + t^3.789 + 2*t^4.106 + t^4.205 + 4*t^4.314 + t^4.423 + t^4.84 + t^4.949 + t^5.157 + t^5.266 + 2*t^5.366 + 3*t^5.474 + t^5.683 + t^5.891 - 2*t^6. - t^4.369/y - t^4.369*y | detail | |
56489 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7079 | 0.8954 | 0.7906 | [M:[1.0067, 1.0897, 1.0897, 0.9103, 0.7309, 0.7176, 0.7309], q:[0.4967, 0.4967], qb:[0.4136, 0.7724], phi:[0.4552]] | t^2.153 + 2*t^2.193 + 2*t^2.731 + t^3.02 + t^3.269 + t^3.558 + 2*t^4.096 + t^4.306 + 5*t^4.345 + 3*t^4.385 + 2*t^4.884 + 4*t^4.924 + t^5.173 + 2*t^5.213 + t^5.422 + 5*t^5.462 + t^5.711 + 2*t^5.751 - 3*t^6. - t^4.365/y - t^4.365*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 |
---|---|---|---|---|---|---|---|---|---|
48170 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.6682 | 0.8218 | 0.813 | [M:[0.9959, 1.0917, 1.0917, 0.9083, 0.725], q:[0.502, 0.502], qb:[0.4063, 0.7729], phi:[0.4542]] | t^2.175 + 2*t^2.725 + t^2.988 + t^3.275 + t^3.538 + t^3.8 + t^3.825 + 2*t^4.088 + t^4.35 + 3*t^4.375 + 2*t^4.9 + t^5.163 + 4*t^5.45 + t^5.713 + 2*t^5.975 - 2*t^6. - t^4.363/y - t^4.363*y | detail |