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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54972 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.667 | 0.8406 | 0.7935 | [X:[1.6116], M:[0.3884, 0.7187, 1.1652, 0.8348, 0.8058, 0.8058, 0.8348], q:[0.8493, 0.7623], qb:[0.4319, 0.4029], phi:[0.3884]] | [X:[[0, 1]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [2, 0], [-2, 1], [0, 3]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.156 + t^2.33 + 2*t^2.417 + 2*t^2.504 + t^3.67 + 2*t^3.757 + t^4.312 + t^4.487 + 2*t^4.574 + 3*t^4.661 + 2*t^4.748 + 6*t^4.835 + 4*t^4.922 + 3*t^5.009 - 2*t^6. + 2*t^6.087 + 5*t^6.174 + 4*t^6.261 + t^6.469 + t^6.643 + 2*t^6.73 + 3*t^6.817 + 2*t^6.904 + 6*t^6.991 + 4*t^7.078 + 6*t^7.165 + 6*t^7.252 + 8*t^7.339 + 6*t^7.426 + 6*t^7.513 - 3*t^8.156 - 2*t^8.243 - 3*t^8.33 - 6*t^8.417 - 3*t^8.504 + 8*t^8.592 + t^8.625 + 8*t^8.679 + 6*t^8.766 + t^8.799 + 2*t^8.886 + 3*t^8.973 - t^4.165/y - t^6.321/y - t^6.496/y - (2*t^6.583)/y - t^6.67/y + t^7.487/y + (2*t^7.574)/y + (3*t^7.661)/y + (4*t^7.748)/y + (4*t^7.835)/y + (4*t^7.922)/y + (2*t^8.009)/y - t^8.478/y - t^8.652/y - (2*t^8.739)/y - t^8.826/y - t^4.165*y - t^6.321*y - t^6.496*y - 2*t^6.583*y - t^6.67*y + t^7.487*y + 2*t^7.574*y + 3*t^7.661*y + 4*t^7.748*y + 4*t^7.835*y + 4*t^7.922*y + 2*t^8.009*y - t^8.478*y - t^8.652*y - 2*t^8.739*y - t^8.826*y | t^2.156/g2^7 + t^2.33/g2^2 + g1^2*t^2.417 + (g2*t^2.417)/g1^2 + 2*g2^3*t^2.504 + g2^2*t^3.67 + g1^2*g2^4*t^3.757 + (g2^5*t^3.757)/g1^2 + t^4.312/g2^14 + t^4.487/g2^9 + (g1^2*t^4.574)/g2^7 + t^4.574/(g1^2*g2^6) + (3*t^4.661)/g2^4 + (g1^2*t^4.748)/g2^2 + t^4.748/(g1^2*g2) + g1^4*t^4.835 + 4*g2*t^4.835 + (g2^2*t^4.835)/g1^4 + 2*g1^2*g2^3*t^4.922 + (2*g2^4*t^4.922)/g1^2 + 3*g2^6*t^5.009 - 2*t^6. + g1^2*g2^2*t^6.087 + (g2^3*t^6.087)/g1^2 + g1^4*g2^4*t^6.174 + 3*g2^5*t^6.174 + (g2^6*t^6.174)/g1^4 + 2*g1^2*g2^7*t^6.261 + (2*g2^8*t^6.261)/g1^2 + t^6.469/g2^21 + t^6.643/g2^16 + (g1^2*t^6.73)/g2^14 + t^6.73/(g1^2*g2^13) + (3*t^6.817)/g2^11 + (g1^2*t^6.904)/g2^9 + t^6.904/(g1^2*g2^8) + (g1^4*t^6.991)/g2^7 + (4*t^6.991)/g2^6 + t^6.991/(g1^4*g2^5) + (2*g1^2*t^7.078)/g2^4 + (2*t^7.078)/(g1^2*g2^3) + t^7.165/g1^4 + (g1^4*t^7.165)/g2^2 + (4*t^7.165)/g2 + g1^6*t^7.252 + 2*g1^2*g2*t^7.252 + (2*g2^2*t^7.252)/g1^2 + (g2^3*t^7.252)/g1^6 + 2*g1^4*g2^3*t^7.339 + 4*g2^4*t^7.339 + (2*g2^5*t^7.339)/g1^4 + 3*g1^2*g2^6*t^7.426 + (3*g2^7*t^7.426)/g1^2 + g1^4*g2^8*t^7.513 + 4*g2^9*t^7.513 + (g2^10*t^7.513)/g1^4 - (3*t^8.156)/g2^7 - (g1^2*t^8.243)/g2^5 - t^8.243/(g1^2*g2^4) - (3*t^8.33)/g2^2 - 3*g1^2*t^8.417 - (3*g2*t^8.417)/g1^2 + g1^4*g2^2*t^8.504 - 5*g2^3*t^8.504 + (g2^4*t^8.504)/g1^4 + g1^6*g2^4*t^8.592 + 3*g1^2*g2^5*t^8.592 + (3*g2^6*t^8.592)/g1^2 + (g2^7*t^8.592)/g1^6 + t^8.625/g2^28 + 2*g1^4*g2^7*t^8.679 + 4*g2^8*t^8.679 + (2*g2^9*t^8.679)/g1^4 + 3*g1^2*g2^10*t^8.766 + (3*g2^11*t^8.766)/g1^2 + t^8.799/g2^23 + (g1^2*t^8.886)/g2^21 + t^8.886/(g1^2*g2^20) + (3*t^8.973)/g2^18 - t^4.165/(g2*y) - t^6.321/(g2^8*y) - t^6.496/(g2^3*y) - t^6.583/(g1^2*y) - (g1^2*t^6.583)/(g2*y) - (g2^2*t^6.67)/y + t^7.487/(g2^9*y) + (g1^2*t^7.574)/(g2^7*y) + t^7.574/(g1^2*g2^6*y) + (3*t^7.661)/(g2^4*y) + (2*g1^2*t^7.748)/(g2^2*y) + (2*t^7.748)/(g1^2*g2*y) + (4*g2*t^7.835)/y + (2*g1^2*g2^3*t^7.922)/y + (2*g2^4*t^7.922)/(g1^2*y) + (2*g2^6*t^8.009)/y - t^8.478/(g2^15*y) - t^8.652/(g2^10*y) - (g1^2*t^8.739)/(g2^8*y) - t^8.739/(g1^2*g2^7*y) - t^8.826/(g2^5*y) - (t^4.165*y)/g2 - (t^6.321*y)/g2^8 - (t^6.496*y)/g2^3 - (t^6.583*y)/g1^2 - (g1^2*t^6.583*y)/g2 - g2^2*t^6.67*y + (t^7.487*y)/g2^9 + (g1^2*t^7.574*y)/g2^7 + (t^7.574*y)/(g1^2*g2^6) + (3*t^7.661*y)/g2^4 + (2*g1^2*t^7.748*y)/g2^2 + (2*t^7.748*y)/(g1^2*g2) + 4*g2*t^7.835*y + 2*g1^2*g2^3*t^7.922*y + (2*g2^4*t^7.922*y)/g1^2 + 2*g2^6*t^8.009*y - (t^8.478*y)/g2^15 - (t^8.652*y)/g2^10 - (g1^2*t^8.739*y)/g2^8 - (t^8.739*y)/(g1^2*g2^7) - (t^8.826*y)/g2^5 |
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 |
---|---|---|---|---|---|---|---|---|---|
48296 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6532 | 0.8167 | 0.7999 | [X:[1.6152], M:[0.3848, 0.6937, 1.1545, 0.8455, 0.8076, 0.8076], q:[0.8645, 0.7507], qb:[0.4417, 0.4038], phi:[0.3848]] | t^2.081 + t^2.309 + 2*t^2.423 + t^2.537 + t^3.463 + t^3.691 + 2*t^3.805 + t^4.162 + t^4.39 + 2*t^4.504 + 2*t^4.618 + 2*t^4.732 + 5*t^4.846 + 2*t^4.959 + t^5.073 + t^5.545 + t^5.772 + 2*t^5.886 - t^6. - t^4.154/y - t^4.154*y | detail |