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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4722 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6688 | 0.8383 | 0.7979 | [M:[1.0478, 0.8316, 1.0603, 0.8191, 1.1809, 1.1684, 0.8191, 0.711], q:[0.5364, 0.4158], qb:[0.4033, 0.7651], phi:[0.4699]] | [M:[[-30], [22], [4], [-12], [12], [-22], [-12], [14]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{8}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^2.133 + 2*t^2.457 + t^2.819 + t^3.143 + t^3.181 + t^3.505 + t^3.829 + 2*t^3.904 + t^4.229 + 2*t^4.266 + 2*t^4.59 + t^4.628 + 3*t^4.915 + t^4.952 + 3*t^5.276 + t^5.314 + t^5.601 + 3*t^5.638 + 3*t^5.963 - 2*t^6. + t^6.037 + 3*t^6.287 + t^6.324 + 3*t^6.362 + t^6.399 + 2*t^6.649 + t^6.686 + 4*t^6.724 + t^6.761 + t^6.973 + 3*t^7.048 + 3*t^7.085 + t^7.335 + 3*t^7.372 + 3*t^7.41 + t^7.447 + t^7.659 + 5*t^7.734 + 2*t^7.771 + t^7.809 + 2*t^8.058 + 5*t^8.096 - 2*t^8.133 + 2*t^8.171 + 5*t^8.42 - 2*t^8.457 + 3*t^8.532 + 4*t^8.744 + 3*t^8.782 + 2*t^8.857 + 2*t^8.894 - t^4.41/y - t^6.543/y - t^6.867/y + t^7.266/y - t^7.553/y + (2*t^7.59)/y + t^7.915/y + (2*t^7.952)/y + (4*t^8.276)/y + t^8.314/y + (2*t^8.601)/y + (3*t^8.638)/y - t^8.676/y + (4*t^8.963)/y - t^4.41*y - t^6.543*y - t^6.867*y + t^7.266*y - t^7.553*y + 2*t^7.59*y + t^7.915*y + 2*t^7.952*y + 4*t^8.276*y + t^8.314*y + 2*t^8.601*y + 3*t^8.638*y - t^8.676*y + 4*t^8.963*y | g1^14*t^2.133 + (2*t^2.457)/g1^12 + t^2.819/g1^4 + t^3.143/g1^30 + g1^4*t^3.181 + t^3.505/g1^22 + t^3.829/g1^48 + 2*g1^20*t^3.904 + t^4.229/g1^6 + 2*g1^28*t^4.266 + 2*g1^2*t^4.59 + g1^36*t^4.628 + (3*t^4.915)/g1^24 + g1^10*t^4.952 + (3*t^5.276)/g1^16 + g1^18*t^5.314 + t^5.601/g1^42 + (3*t^5.638)/g1^8 + (3*t^5.963)/g1^34 - 2*t^6. + g1^34*t^6.037 + (3*t^6.287)/g1^60 + t^6.324/g1^26 + 3*g1^8*t^6.362 + g1^42*t^6.399 + (2*t^6.649)/g1^52 + t^6.686/g1^18 + 4*g1^16*t^6.724 + g1^50*t^6.761 + t^6.973/g1^78 + (3*t^7.048)/g1^10 + 3*g1^24*t^7.085 + t^7.335/g1^70 + (3*t^7.372)/g1^36 + (3*t^7.41)/g1^2 + g1^32*t^7.447 + t^7.659/g1^96 + (5*t^7.734)/g1^28 + 2*g1^6*t^7.771 + g1^40*t^7.809 + (2*t^8.058)/g1^54 + (5*t^8.096)/g1^20 - 2*g1^14*t^8.133 + 2*g1^48*t^8.171 + (5*t^8.42)/g1^46 - (2*t^8.457)/g1^12 + 3*g1^56*t^8.532 + (4*t^8.744)/g1^72 + (3*t^8.782)/g1^38 + 2*g1^30*t^8.857 + 2*g1^64*t^8.894 - t^4.41/(g1^2*y) - (g1^12*t^6.543)/y - t^6.867/(g1^14*y) + (g1^28*t^7.266)/y - t^7.553/(g1^32*y) + (2*g1^2*t^7.59)/y + t^7.915/(g1^24*y) + (2*g1^10*t^7.952)/y + (4*t^8.276)/(g1^16*y) + (g1^18*t^8.314)/y + (2*t^8.601)/(g1^42*y) + (3*t^8.638)/(g1^8*y) - (g1^26*t^8.676)/y + (4*t^8.963)/(g1^34*y) - (t^4.41*y)/g1^2 - g1^12*t^6.543*y - (t^6.867*y)/g1^14 + g1^28*t^7.266*y - (t^7.553*y)/g1^32 + 2*g1^2*t^7.59*y + (t^7.915*y)/g1^24 + 2*g1^10*t^7.952*y + (4*t^8.276*y)/g1^16 + g1^18*t^8.314*y + (2*t^8.601*y)/g1^42 + (3*t^8.638*y)/g1^8 - g1^26*t^8.676*y + (4*t^8.963*y)/g1^34 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2623 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6486 | 0.8003 | 0.8105 | [M:[1.0425, 0.8355, 1.061, 0.817, 1.183, 1.1645, 0.817], q:[0.5397, 0.4177], qb:[0.3993, 0.7652], phi:[0.4695]] | 2*t^2.451 + t^2.817 + t^3.128 + t^3.183 + t^3.494 + t^3.804 + t^3.86 + 2*t^3.915 + t^4.226 + t^4.281 + t^4.647 + 3*t^4.902 + 2*t^5.268 + t^5.579 + 2*t^5.634 + 2*t^5.945 - 2*t^6. - t^4.409/y - t^4.409*y | detail |