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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6913 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.6915 | 0.8453 | 0.8181 | [X:[1.2921], M:[0.9851, 0.7378, 1.0149, 0.7079, 0.9851, 1.0149, 0.9851, 1.2622, 0.7079], q:[0.5075, 0.5075], qb:[0.4776, 0.7846], phi:[0.4307]] | [X:[[6]], M:[[-14], [22], [14], [-6], [-14], [14], [-14], [-22], [-6]], q:[[7], [7]], qb:[[-21], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{9}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{8}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{9}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }M_{1}M_{9}$, ${ }M_{5}M_{9}$, ${ }M_{7}M_{9}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{8}M_{9}$ | ${}M_{9}X_{1}$ | -4 | t^2.124 + t^2.584 + 3*t^2.955 + t^3.787 + t^3.876 + t^4.158 + 3*t^4.247 + 3*t^4.337 + t^4.708 + 3*t^5.079 + t^5.168 + 3*t^5.539 + 5*t^5.91 - 4*t^6. - 2*t^6.09 + t^6.281 + 3*t^6.371 + 2*t^6.461 + 4*t^6.742 + 3*t^6.832 + 2*t^6.921 + 3*t^7.113 + 6*t^7.202 + 4*t^7.292 - 2*t^7.382 + 2*t^7.663 - t^7.753 + t^7.944 + 6*t^8.034 - t^8.213 + t^8.315 + 3*t^8.405 + 9*t^8.495 - t^8.584 + 3*t^8.674 + 8*t^8.866 - 9*t^8.955 - t^4.292/y - t^6.416/y - t^6.876/y - t^7.247/y + t^7.337/y + (2*t^7.708)/y + (3*t^8.079)/y + t^8.168/y + (2*t^8.539)/y + (4*t^8.91)/y - t^4.292*y - t^6.416*y - t^6.876*y - t^7.247*y + t^7.337*y + 2*t^7.708*y + 3*t^8.079*y + t^8.168*y + 2*t^8.539*y + 4*t^8.91*y | t^2.124/g1^6 + g1^4*t^2.584 + (3*t^2.955)/g1^14 + t^3.787/g1^22 + g1^6*t^3.876 + t^4.158/g1^40 + (3*t^4.247)/g1^12 + 3*g1^16*t^4.337 + t^4.708/g1^2 + (3*t^5.079)/g1^20 + g1^8*t^5.168 + (3*t^5.539)/g1^10 + (5*t^5.91)/g1^28 - 4*t^6. - 2*g1^28*t^6.09 + t^6.281/g1^46 + (3*t^6.371)/g1^18 + 2*g1^10*t^6.461 + (4*t^6.742)/g1^36 + (3*t^6.832)/g1^8 + 2*g1^20*t^6.921 + (3*t^7.113)/g1^54 + (6*t^7.202)/g1^26 + 4*g1^2*t^7.292 - 2*g1^30*t^7.382 + (2*t^7.663)/g1^16 - g1^12*t^7.753 + t^7.944/g1^62 + (6*t^8.034)/g1^34 - g1^22*t^8.213 + t^8.315/g1^80 + (3*t^8.405)/g1^52 + (9*t^8.495)/g1^24 - g1^4*t^8.584 + 3*g1^32*t^8.674 + (8*t^8.866)/g1^42 - (9*t^8.955)/g1^14 - (g1^2*t^4.292)/y - t^6.416/(g1^4*y) - (g1^6*t^6.876)/y - t^7.247/(g1^12*y) + (g1^16*t^7.337)/y + (2*t^7.708)/(g1^2*y) + (3*t^8.079)/(g1^20*y) + (g1^8*t^8.168)/y + (2*t^8.539)/(g1^10*y) + (4*t^8.91)/(g1^28*y) - g1^2*t^4.292*y - (t^6.416*y)/g1^4 - g1^6*t^6.876*y - (t^7.247*y)/g1^12 + g1^16*t^7.337*y + (2*t^7.708*y)/g1^2 + (3*t^8.079*y)/g1^20 + g1^8*t^8.168*y + (2*t^8.539*y)/g1^10 + (4*t^8.91*y)/g1^28 |
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 |
---|---|---|---|---|---|---|---|---|---|
5453 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6711 | 0.8065 | 0.8322 | [X:[1.2913], M:[0.987, 0.7348, 1.013, 0.7087, 0.987, 1.013, 0.987, 1.2652], q:[0.5065, 0.5065], qb:[0.4805, 0.7848], phi:[0.4304]] | t^2.583 + 3*t^2.961 + t^3.796 + 2*t^3.874 + t^4.174 + 2*t^4.252 + 3*t^4.33 + t^5.165 + 3*t^5.544 + 4*t^5.922 - 5*t^6. - t^4.291/y - t^4.291*y | detail |