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 |
---|---|---|---|---|---|---|---|---|---|
14 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.4925 | 0.5698 | 0.8643 | [X:[1.5254], M:[0.7119, 0.7119], q:[0.5254], qb:[0.5254], phi:[0.2373]] | [X:[[2]], M:[[-3], [-3]], q:[[2]], qb:[[2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }X_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$ | ${}M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | -2 | 2*t^2.136 + t^3.152 + t^3.864 + 3*t^4.272 + t^4.576 + 2*t^5.288 - 2*t^6. + t^6.305 + 4*t^6.407 - t^6.712 + t^7.017 + 3*t^7.424 + t^7.728 - 4*t^8.136 + 5*t^8.543 - 4*t^8.848 - (2*t^8.848)/y^2 - t^3.712/y - (2*t^5.848)/y + t^7.272/y + (2*t^7.576)/y - (3*t^7.983)/y + (2*t^8.288)/y - t^3.712*y - 2*t^5.848*y + t^7.272*y + 2*t^7.576*y - 3*t^7.983*y + 2*t^8.288*y - 2*t^8.848*y^2 | (2*t^2.136)/g1^3 + g1^4*t^3.152 + g1^3*t^3.864 + (3*t^4.272)/g1^6 + g1^2*t^4.576 + 2*g1*t^5.288 - 2*t^6. + g1^8*t^6.305 + (4*t^6.407)/g1^9 - t^6.712/g1 + g1^7*t^7.017 + (3*t^7.424)/g1^2 + g1^6*t^7.728 - (4*t^8.136)/g1^3 + (5*t^8.543)/g1^12 - (4*t^8.848)/g1^4 - (2*t^8.848)/(g1^4*y^2) - t^3.712/(g1*y) - (2*t^5.848)/(g1^4*y) + t^7.272/(g1^6*y) + (2*g1^2*t^7.576)/y - (3*t^7.983)/(g1^7*y) + (2*g1*t^8.288)/y - (t^3.712*y)/g1 - (2*t^5.848*y)/g1^4 + (t^7.272*y)/g1^6 + 2*g1^2*t^7.576*y - (3*t^7.983*y)/g1^7 + 2*g1*t^8.288*y - (2*t^8.848*y^2)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
25 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5129 | 0.6085 | 0.8428 | [X:[1.5308], M:[0.7038, 0.7038, 0.7038], q:[0.5308], qb:[0.5308], phi:[0.2346]] | 3*t^2.111 + t^3.185 + 6*t^4.223 + t^4.592 + 3*t^5.296 - 4*t^6. - t^3.704/y - (3*t^5.815)/y - t^3.704*y - 3*t^5.815*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 |
---|---|---|---|---|---|---|---|---|---|
104 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4925 | 0.5698 | 0.8643 | [X:[1.5254], M:[0.7119, 0.7119], q:[0.8813, 0.4067], qb:[0.8813, 0.8813], phi:[0.2373]] | 2*t^2.136 + t^3.152 + t^3.864 + 3*t^4.272 + t^4.576 + 2*t^5.288 - 2*t^6. - t^3.712/y - (2*t^5.848)/y - t^3.712*y - 2*t^5.848*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
8 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.4723 | 0.5327 | 0.8867 | [X:[1.5173], M:[0.7241], q:[0.5173], qb:[0.5173], phi:[0.2414]] | t^2.172 + t^3.104 + 2*t^3.828 + t^4.345 + t^4.552 + t^5.276 - 2*t^6. - t^3.724/y - t^5.896/y - t^3.724*y - t^5.896*y | detail |