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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55223 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6872 | 0.8981 | 0.7651 | [X:[1.375], M:[0.875, 0.75, 0.625, 0.75, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 11259/16384, c: 14715/16384, X1: 11/8, M1: 7/8, M2: 3/4, M3: 5/8, M4: 3/4, M5: 3/4, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$ | 2 | 4*t^2.25 + 3*t^2.62 + t^3. + t^3.38 + t^3.75 + 2*t^4.12 + 11*t^4.5 + 12*t^4.88 + 10*t^5.25 + 5*t^5.62 + 2*t^6. + 6*t^6.38 + 26*t^6.75 + 28*t^7.12 + 28*t^7.5 + 19*t^7.88 + 2*t^8.25 + 3*t^8.62 - t^4.5/y - (3*t^6.75)/y - t^7.12/y + (6*t^7.5)/y + (13*t^7.88)/y + (10*t^8.25)/y + (7*t^8.62)/y - t^4.5*y - 3*t^6.75*y - t^7.12*y + 6*t^7.5*y + 13*t^7.88*y + 10*t^8.25*y + 7*t^8.62*y | 4*t^2.25 + 3*t^2.62 + t^3. + t^3.38 + t^3.75 + 2*t^4.12 + 11*t^4.5 + 12*t^4.88 + 10*t^5.25 + 5*t^5.62 + 2*t^6. + 6*t^6.38 + 26*t^6.75 + 28*t^7.12 + 28*t^7.5 + 19*t^7.88 + 2*t^8.25 + 3*t^8.62 - t^4.5/y - (3*t^6.75)/y - t^7.12/y + (6*t^7.5)/y + (13*t^7.88)/y + (10*t^8.25)/y + (7*t^8.62)/y - t^4.5*y - 3*t^6.75*y - t^7.12*y + 6*t^7.5*y + 13*t^7.88*y + 10*t^8.25*y + 7*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 |
---|---|---|---|---|---|---|---|---|
56906 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7062 | 0.9328 | 0.7571 | [X:[1.375], M:[0.875, 0.75, 0.625, 0.75, 0.75, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | 5*t^2.25 + 3*t^2.62 + t^3. + t^3.38 + 2*t^4.12 + 16*t^4.5 + 15*t^4.88 + 11*t^5.25 + 6*t^5.62 - 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 11571/16384, c: 15283/16384, X1: 11/8, M1: 7/8, M2: 3/4, M3: 5/8, M4: 3/4, M5: 3/4, M6: 3/4, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2} |
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 |
---|---|---|---|---|---|---|---|---|---|
47048 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6682 | 0.8635 | 0.7738 | [X:[1.375], M:[0.875, 0.75, 0.625, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | 3*t^2.25 + 3*t^2.62 + t^3. + t^3.38 + 2*t^3.75 + 2*t^4.12 + 7*t^4.5 + 9*t^4.88 + 9*t^5.25 + 4*t^5.62 + 4*t^6. - t^4.5/y - t^4.5*y | detail | {a: 10947/16384, c: 14147/16384, X1: 11/8, M1: 7/8, M2: 3/4, M3: 5/8, M4: 3/4, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2} |