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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2753 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ | 0.6169 | 0.8012 | 0.7699 | [M:[0.95, 1.15, 0.725, 0.85], q:[0.7375, 0.3125], qb:[0.4375, 0.4125], phi:[0.525]] | [M:[[-4], [12], [18], [-12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$ | 0 | 2*t^2.175 + t^2.25 + t^2.55 + t^2.85 + t^3.15 + 2*t^3.45 + t^3.525 + t^3.75 + t^4.05 + t^4.125 + t^4.2 + 3*t^4.35 + 2*t^4.425 + t^4.5 + 2*t^4.725 + t^4.8 + 2*t^5.025 + 2*t^5.1 + 2*t^5.325 + 2*t^5.4 + 3*t^5.625 + 4*t^5.7 + t^5.775 + t^5.925 + 2*t^6.225 + 3*t^6.3 + 2*t^6.375 + t^6.45 + 4*t^6.525 + 5*t^6.6 + 2*t^6.675 + 2*t^6.75 + 5*t^6.9 + 2*t^6.975 + 2*t^7.05 + 4*t^7.2 + 2*t^7.275 + 2*t^7.35 + 4*t^7.5 + 2*t^7.575 + 3*t^7.65 + t^7.725 + 5*t^7.8 + 4*t^7.875 + 3*t^7.95 + t^8.025 + 2*t^8.1 - t^8.175 + t^8.25 + t^8.325 + 4*t^8.4 + 3*t^8.475 + 2*t^8.55 + 2*t^8.625 + 6*t^8.7 + 6*t^8.775 + t^8.85 + 2*t^8.925 - t^4.575/y - t^6.75/y + t^7.35/y + (2*t^7.425)/y + (2*t^7.725)/y + t^7.8/y + (2*t^8.025)/y + t^8.1/y + (2*t^8.325)/y + (3*t^8.4)/y + (4*t^8.625)/y + (5*t^8.7)/y + t^8.775/y + t^8.925/y - t^4.575*y - t^6.75*y + t^7.35*y + 2*t^7.425*y + 2*t^7.725*y + t^7.8*y + 2*t^8.025*y + t^8.1*y + 2*t^8.325*y + 3*t^8.4*y + 4*t^8.625*y + 5*t^8.7*y + t^8.775*y + t^8.925*y | 2*g1^18*t^2.175 + t^2.25/g1^20 + t^2.55/g1^12 + t^2.85/g1^4 + g1^4*t^3.15 + 2*g1^12*t^3.45 + t^3.525/g1^26 + g1^20*t^3.75 + g1^28*t^4.05 + t^4.125/g1^10 + t^4.2/g1^48 + 3*g1^36*t^4.35 + (2*t^4.425)/g1^2 + t^4.5/g1^40 + 2*g1^6*t^4.725 + t^4.8/g1^32 + 2*g1^14*t^5.025 + (2*t^5.1)/g1^24 + 2*g1^22*t^5.325 + (2*t^5.4)/g1^16 + 3*g1^30*t^5.625 + (4*t^5.7)/g1^8 + t^5.775/g1^46 + g1^38*t^5.925 + 2*g1^46*t^6.225 + 3*g1^8*t^6.3 + (2*t^6.375)/g1^30 + t^6.45/g1^68 + 4*g1^54*t^6.525 + 5*g1^16*t^6.6 + (2*t^6.675)/g1^22 + (2*t^6.75)/g1^60 + 5*g1^24*t^6.9 + (2*t^6.975)/g1^14 + (2*t^7.05)/g1^52 + 4*g1^32*t^7.2 + (2*t^7.275)/g1^6 + (2*t^7.35)/g1^44 + 4*g1^40*t^7.5 + 2*g1^2*t^7.575 + (3*t^7.65)/g1^36 + t^7.725/g1^74 + 5*g1^48*t^7.8 + 4*g1^10*t^7.875 + (3*t^7.95)/g1^28 + t^8.025/g1^66 + 2*g1^56*t^8.1 - g1^18*t^8.175 + t^8.25/g1^20 + t^8.325/g1^58 + t^8.4/g1^96 + 3*g1^64*t^8.4 + 3*g1^26*t^8.475 + (2*t^8.55)/g1^12 + (2*t^8.625)/g1^50 + t^8.7/g1^88 + 5*g1^72*t^8.7 + 6*g1^34*t^8.775 + t^8.85/g1^4 + (2*t^8.925)/g1^42 - (g1^2*t^4.575)/y - (g1^20*t^6.75)/y + (g1^36*t^7.35)/y + (2*t^7.425)/(g1^2*y) + (2*g1^6*t^7.725)/y + t^7.8/(g1^32*y) + (2*g1^14*t^8.025)/y + t^8.1/(g1^24*y) + (2*g1^22*t^8.325)/y + (3*t^8.4)/(g1^16*y) + (4*g1^30*t^8.625)/y + (5*t^8.7)/(g1^8*y) + t^8.775/(g1^46*y) + (g1^38*t^8.925)/y - g1^2*t^4.575*y - g1^20*t^6.75*y + g1^36*t^7.35*y + (2*t^7.425*y)/g1^2 + 2*g1^6*t^7.725*y + (t^7.8*y)/g1^32 + 2*g1^14*t^8.025*y + (t^8.1*y)/g1^24 + 2*g1^22*t^8.325*y + (3*t^8.4*y)/g1^16 + 4*g1^30*t^8.625*y + (5*t^8.7*y)/g1^8 + (t^8.775*y)/g1^46 + g1^38*t^8.925*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 |
---|---|---|---|---|---|---|---|---|
3266 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$ | 0.604 | 0.7795 | 0.7748 | [M:[0.9521, 1.1437, 0.7155, 0.8563, 1.1437], q:[0.738, 0.3099], qb:[0.4507, 0.4056], phi:[0.5239]] | 2*t^2.147 + t^2.282 + t^2.856 + t^3.144 + 3*t^3.431 + t^3.566 + t^3.718 + t^4.006 + t^4.141 + t^4.276 + 3*t^4.293 + 2*t^4.428 + t^4.563 + 2*t^5.003 + t^5.138 + 2*t^5.29 + t^5.425 + 5*t^5.578 + 4*t^5.713 + t^5.848 + t^5.865 - 2*t^6. - t^4.572/y - t^4.572*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 |
---|---|---|---|---|---|---|---|---|---|
1748 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6255 | 0.812 | 0.7703 | [M:[0.9851, 1.0448, 0.749, 0.7734], q:[0.7463, 0.2687], qb:[0.4748, 0.4804], phi:[0.5075]] | t^2.23 + 2*t^2.247 + t^2.32 + t^2.955 + t^3.045 + 2*t^3.135 + t^3.663 + t^3.77 + t^4.371 + t^4.388 + t^4.405 + t^4.461 + 2*t^4.478 + 3*t^4.494 + t^4.551 + 2*t^4.567 + t^4.64 + t^5.186 + 2*t^5.202 + 2*t^5.275 + 2*t^5.292 + 2*t^5.365 + 3*t^5.382 + 2*t^5.455 + t^5.894 + 2*t^5.91 - 2*t^6. - t^4.522/y - t^4.522*y | detail |