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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60954 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{6}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.2122 | 1.3893 | 0.8725 | [X:[1.3333, 1.3333], M:[0.8333], q:[0.3889, 0.8889], qb:[0.4444, 0.2778], phi:[0.3333]] | [X:[[0], [0]], M:[[0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 931/768, c: 1067/768, X1: 4/3, X2: 4/3, M1: 5/6, q1: 7/18, q2: 8/9, qb1: 4/9, qb2: 5/18, phi1: 1/3} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | ${}\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 3 | 2*t^2.5 + 2*t^3. + t^3.5 + 5*t^4. + 2*t^4.5 + 5*t^5. + 4*t^5.5 + 3*t^6. + 9*t^6.5 + 10*t^7. + 11*t^7.5 + 19*t^8. + 8*t^8.5 - t^4./y - t^5./y - (2*t^6.5)/y - t^7./y - (2*t^7.5)/y - (3*t^8.)/y + (4*t^8.5)/y - t^4.*y - t^5.*y - 2*t^6.5*y - t^7.*y - 2*t^7.5*y - 3*t^8.*y + 4*t^8.5*y | 2*t^2.5 + 2*t^3. + t^3.5 + 5*t^4. + 2*t^4.5 + 5*t^5. + 4*t^5.5 + 3*t^6. + 9*t^6.5 + 10*t^7. + 11*t^7.5 + 19*t^8. + 8*t^8.5 - t^4./y - t^5./y - (2*t^6.5)/y - t^7./y - (2*t^7.5)/y - (3*t^8.)/y + (4*t^8.5)/y - t^4.*y - t^5.*y - 2*t^6.5*y - t^7.*y - 2*t^7.5*y - 3*t^8.*y + 4*t^8.5*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 |
---|---|---|---|---|---|---|---|---|---|
57913 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{6}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ | 1.2747 | 1.4518 | 0.878 | [X:[1.3333, 1.3333], M:[0.8333], q:[0.2778, 0.7778], qb:[0.5556, 0.3889], phi:[0.3333]] | 2*t^2.5 + 2*t^3. + t^3.5 + 4*t^4. + t^4.5 + 6*t^5. + 5*t^5.5 + 4*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | {a: 979/768, c: 1115/768, X1: 4/3, X2: 4/3, M1: 5/6, q1: 5/18, q2: 7/9, qb1: 5/9, qb2: 7/18, phi1: 1/3} |