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 |
---|---|---|---|---|---|---|---|---|---|
1760 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}q_{2}$ | 0.6309 | 0.7906 | 0.7979 | [M:[1.1293, 0.6853, 1.3147, 0.8147], q:[0.75, 0.4353], qb:[0.4353, 0.3793], phi:[0.5]] | [M:[[2], [-1], [1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | -2 | 3*t^2.444 + t^3. + 2*t^3.388 + t^3.556 + t^3.776 + 2*t^3.944 + 3*t^4.112 + 6*t^4.888 + 3*t^5.444 + 4*t^5.832 - 2*t^6. - 2*t^6.168 + 3*t^6.22 + 6*t^6.388 + 6*t^6.556 + 3*t^6.776 + 2*t^7.164 + 11*t^7.332 + t^7.552 - t^7.668 + 2*t^7.72 + 8*t^7.888 + 2*t^8.056 + 5*t^8.224 + 6*t^8.276 - 9*t^8.444 - 6*t^8.612 + 6*t^8.664 + 10*t^8.832 - t^4.5/y - t^6.944/y + t^7.112/y + (2*t^7.888)/y + t^8.056/y + (3*t^8.444)/y + (6*t^8.832)/y - t^4.5*y - t^6.944*y + t^7.112*y + 2*t^7.888*y + t^8.056*y + 3*t^8.444*y + 6*t^8.832*y | 3*g1*t^2.444 + t^3. + 2*g1^2*t^3.388 + t^3.556/g1 + g1^4*t^3.776 + 2*g1*t^3.944 + (3*t^4.112)/g1^2 + 6*g1^2*t^4.888 + 3*g1*t^5.444 + 4*g1^3*t^5.832 - 2*t^6. - (2*t^6.168)/g1^3 + 3*g1^5*t^6.22 + 6*g1^2*t^6.388 + (6*t^6.556)/g1 + 3*g1^4*t^6.776 + 2*g1^6*t^7.164 + 11*g1^3*t^7.332 + g1^8*t^7.552 - t^7.668/g1^3 + 2*g1^5*t^7.72 + 8*g1^2*t^7.888 + (2*t^8.056)/g1 + (5*t^8.224)/g1^4 + 6*g1^4*t^8.276 - 9*g1*t^8.444 - (6*t^8.612)/g1^2 + 6*g1^6*t^8.664 + 10*g1^3*t^8.832 - t^4.5/y - (g1*t^6.944)/y + t^7.112/(g1^2*y) + (2*g1^2*t^7.888)/y + t^8.056/(g1*y) + (3*g1*t^8.444)/y + (6*g1^3*t^8.832)/y - t^4.5*y - g1*t^6.944*y + (t^7.112*y)/g1^2 + 2*g1^2*t^7.888*y + (t^8.056*y)/g1 + 3*g1*t^8.444*y + 6*g1^3*t^8.832*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 |
---|---|---|---|---|---|---|---|---|
2765 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6467 | 0.8193 | 0.7892 | [M:[1.1186, 0.6907, 1.3093, 0.8093, 0.8093], q:[0.75, 0.4407], qb:[0.4407, 0.3686], phi:[0.5]] | 4*t^2.428 + t^3. + 2*t^3.356 + t^3.711 + 2*t^3.928 + 3*t^4.144 + 10*t^4.856 + 4*t^5.428 + 6*t^5.784 - 5*t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
259 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ | 0.6155 | 0.7629 | 0.8067 | [M:[1.1409, 0.6796, 1.3204], q:[0.75, 0.4296], qb:[0.4296, 0.3909], phi:[0.5]] | 2*t^2.461 + t^3. + 2*t^3.423 + 2*t^3.539 + t^3.845 + 2*t^3.961 + 3*t^4.077 + 3*t^4.923 + 2*t^5.461 + 2*t^5.884 - t^6. - t^4.5/y - t^4.5*y | detail |