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 |
---|---|---|---|---|---|---|---|---|---|
56662 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{2}$ | 0.4642 | 0.5814 | 0.7984 | [X:[1.75, 1.5], M:[0.25, 1.25, 0.875, 0.5, 1.0, 0.875], q:[0.8125, 0.9375], qb:[0.1875, 0.5625], phi:[0.375]] | [X:[[0], [0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 7605/16384, c: 9525/16384, X1: 7/4, X2: 3/2, M1: 1/4, M2: 5/4, M3: 7/8, M4: 1/2, M5: 1, M6: 7/8, q1: 13/16, q2: 15/16, qb1: 3/16, qb2: 9/16, phi1: 3/8} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -5 | 2*t^2.25 + 2*t^2.62 + t^3. + t^4.12 + 6*t^4.5 + t^4.88 + 5*t^5.25 + 2*t^5.62 - 5*t^6. + t^6.38 + 10*t^6.75 + 3*t^7.12 + 3*t^7.5 + 4*t^7.88 - 7*t^8.25 - 5*t^8.62 - t^4.12/y - (2*t^6.75)/y + (3*t^7.5)/y + (4*t^7.88)/y + (3*t^8.25)/y + (2*t^8.62)/y - t^4.12*y - 2*t^6.75*y + 3*t^7.5*y + 4*t^7.88*y + 3*t^8.25*y + 2*t^8.62*y | 2*t^2.25 + 2*t^2.62 + t^3. + t^4.12 + 6*t^4.5 + t^4.88 + 5*t^5.25 + 2*t^5.62 - 5*t^6. + t^6.38 + 10*t^6.75 + 3*t^7.12 + 3*t^7.5 + 4*t^7.88 - 7*t^8.25 - 5*t^8.62 - t^4.12/y - (2*t^6.75)/y + (3*t^7.5)/y + (4*t^7.88)/y + (3*t^8.25)/y + (2*t^8.62)/y - t^4.12*y - 2*t^6.75*y + 3*t^7.5*y + 4*t^7.88*y + 3*t^8.25*y + 2*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 |
---|---|---|---|---|---|---|---|---|---|
55052 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6556 | 0.8224 | 0.7972 | [X:[1.5546], M:[0.4454, 1.1849, 0.7773, 0.8909, 0.7394, 0.7773], q:[0.7962, 0.7583], qb:[0.4644, 0.3508], phi:[0.4076]] | t^2.22 + 2*t^2.33 + t^2.45 + t^2.67 + t^3.33 + t^3.44 + t^3.55 + t^4.01 + t^4.44 + 3*t^4.55 + 5*t^4.66 + t^4.78 + 3*t^4.89 + 2*t^5. + t^5.35 + t^5.55 + 2*t^5.66 + 5*t^5.77 + 2*t^5.89 - 2*t^6. - t^4.22/y - t^4.22*y | detail |