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 |
---|---|---|---|---|---|---|---|---|---|
2765 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 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]] | [M:[[2], [-1], [1], [1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}$ | -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. + 4*t^6.139 - 2*t^6.216 + 8*t^6.356 + 8*t^6.572 + 3*t^6.711 - 2*t^6.928 + 2*t^7.067 - t^7.144 + 20*t^7.284 + t^7.423 - 2*t^7.5 + 2*t^7.639 - 4*t^7.716 + 12*t^7.856 + 2*t^8.072 + 12*t^8.211 + 5*t^8.289 - 20*t^8.428 + 10*t^8.567 - 8*t^8.644 + 18*t^8.784 - t^4.5/y - (2*t^6.928)/y + t^7.144/y + (5*t^7.856)/y + (2*t^8.072)/y + (4*t^8.428)/y + (8*t^8.784)/y - t^4.5*y - 2*t^6.928*y + t^7.144*y + 5*t^7.856*y + 2*t^8.072*y + 4*t^8.428*y + 8*t^8.784*y | 4*g1*t^2.428 + t^3. + 2*g1^2*t^3.356 + g1^4*t^3.711 + 2*g1*t^3.928 + (3*t^4.144)/g1^2 + 10*g1^2*t^4.856 + 4*g1*t^5.428 + 6*g1^3*t^5.784 - 5*t^6. + 4*g1^5*t^6.139 - (2*t^6.216)/g1^3 + 8*g1^2*t^6.356 + (8*t^6.572)/g1 + 3*g1^4*t^6.711 - 2*g1*t^6.928 + 2*g1^6*t^7.067 - t^7.144/g1^2 + 20*g1^3*t^7.284 + g1^8*t^7.423 - 2*t^7.5 + 2*g1^5*t^7.639 - (4*t^7.716)/g1^3 + 12*g1^2*t^7.856 + (2*t^8.072)/g1 + 12*g1^4*t^8.211 + (5*t^8.289)/g1^4 - 20*g1*t^8.428 + 10*g1^6*t^8.567 - (8*t^8.644)/g1^2 + 18*g1^3*t^8.784 - t^4.5/y - (2*g1*t^6.928)/y + t^7.144/(g1^2*y) + (5*g1^2*t^7.856)/y + (2*t^8.072)/(g1*y) + (4*g1*t^8.428)/y + (8*g1^3*t^8.784)/y - t^4.5*y - 2*g1*t^6.928*y + (t^7.144*y)/g1^2 + 5*g1^2*t^7.856*y + (2*t^8.072*y)/g1 + 4*g1*t^8.428*y + 8*g1^3*t^8.784*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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. - t^4.5/y - t^4.5*y | detail |