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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58842 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.3323 | 1.551 | 0.859 | [X:[1.375], M:[0.875], q:[0.3611, 0.4861], qb:[0.6389, 0.2639], phi:[0.375]] | [X:[[0]], M:[[0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 5457/4096, c: 6353/4096, X1: 11/8, M1: 7/8, q1: 13/36, q2: 35/72, qb1: 23/36, qb2: 19/72, phi1: 3/8} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{5}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | ${}\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$ | 0 | 2*t^2.25 + t^2.62 + 2*t^3. + 2*t^3.38 + 3*t^4.12 + 5*t^4.5 + t^4.63 + t^4.75 + t^4.88 + t^5.12 + 6*t^5.25 + 6*t^5.62 + 3*t^5.75 + t^5.87 + t^6.25 + 9*t^6.38 + 12*t^6.75 + 4*t^6.88 + 3*t^7. + 3*t^7.12 - t^7.25 + 3*t^7.37 + 17*t^7.5 + t^7.75 + 11*t^7.88 + 9*t^8. + 4*t^8.12 + 3*t^8.25 - 2*t^8.38 + 2*t^8.5 + 22*t^8.62 + 4*t^8.75 - t^4.12/y - t^5.25/y - (2*t^6.38)/y - t^6.75/y - t^7.12/y - (2*t^7.5)/y + (2*t^7.88)/y + t^8.25/y + t^8.62/y - t^4.12*y - t^5.25*y - 2*t^6.38*y - t^6.75*y - t^7.12*y - 2*t^7.5*y + 2*t^7.88*y + t^8.25*y + t^8.62*y | 2*t^2.25 + t^2.62 + 2*t^3. + 2*t^3.38 + 3*t^4.12 + 5*t^4.5 + g1^3*t^4.63 + t^4.75/g1^3 + t^4.88 + t^5.12/g1^3 + 6*t^5.25 + 6*t^5.62 + 3*g1^3*t^5.75 + t^5.87/g1^3 + t^6.25/g1^3 + 9*t^6.38 + 12*t^6.75 + 4*g1^3*t^6.88 + (3*t^7.)/g1^3 + 3*t^7.12 - g1^3*t^7.25 + (3*t^7.37)/g1^3 + 17*t^7.5 + t^7.75/g1^3 + 11*t^7.88 + 9*g1^3*t^8. + (4*t^8.12)/g1^3 + 3*t^8.25 - 2*g1^3*t^8.38 + (2*t^8.5)/g1^3 + 22*t^8.62 + 4*g1^3*t^8.75 - t^4.12/y - t^5.25/y - (2*t^6.38)/y - t^6.75/y - t^7.12/y - (2*t^7.5)/y + (2*t^7.88)/y + t^8.25/y + t^8.62/y - t^4.12*y - t^5.25*y - 2*t^6.38*y - t^6.75*y - t^7.12*y - 2*t^7.5*y + 2*t^7.88*y + t^8.25*y + t^8.62*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 |
---|---|---|---|---|---|---|---|---|---|
57471 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4405 | 1.6827 | 0.8561 | [X:[], M:[0.875], q:[0.5, 0.375], qb:[0.5, 0.375], phi:[0.375]] | 2*t^2.25 + 3*t^2.62 + t^3. + t^3.38 + 2*t^3.75 + t^4.12 + 4*t^4.5 + 10*t^4.88 + 11*t^5.25 + 3*t^5.62 + 6*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 23601/16384, c: 27569/16384, M1: 7/8, q1: 1/2, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 3/8} |