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 |
---|---|---|---|---|---|---|---|---|---|
95 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4583 | 0.5 | 0.9167 | [X:[1.5556], M:[0.8889], q:[0.8889, 0.8889], qb:[0.4444, 0.8889], phi:[0.2222]] | [X:[[4]], M:[[-8]], q:[[1], [1]], qb:[[5], [1]], phi:[[-2]]] | 1 | {a: 11/24, c: 1/2, X1: 14/9, M1: 8/9, q1: 8/9, q2: 8/9, qb1: 4/9, qb2: 8/9, phi1: 2/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$ | ${}$ | -4 | t^2.667 + 3*t^4. + t^4.667 + t^5.333 - 4*t^6. + t^7.333 + 7*t^8. - t^8.667 - t^3.667/y - t^6.333/y + t^7./y - t^3.667*y - t^6.333*y + t^7.*y | t^2.667/g1^8 + 3*g1^6*t^4. + g1^4*t^4.667 + t^5.333/g1^16 - 4*t^6. + t^7.333/g1^4 + t^8./g1^24 + t^8./g1^6 + 5*g1^12*t^8. - t^8.667/g1^8 - t^3.667/(g1^2*y) - t^6.333/(g1^10*y) + (g1^6*t^7.)/y - (t^3.667*y)/g1^2 - (t^6.333*y)/g1^10 + g1^6*t^7.*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 |
---|---|---|---|---|---|---|---|---|
153 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ | 0.4526 | 0.4995 | 0.9062 | [X:[1.5], M:[1.0], q:[0.875, 0.875], qb:[0.375, 0.875], phi:[0.25]] | t^3. + 3*t^3.75 + t^4.5 - 3*t^6. - t^3.75/y - t^3.75*y | detail | {a: 927/2048, c: 1023/2048, X1: 3/2, M1: 1, q1: 7/8, q2: 7/8, qb1: 3/8, qb2: 7/8, phi1: 1/4} |
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 |
---|---|---|---|---|---|---|---|---|---|
2 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 0.4583 | 0.5 | 0.9167 | [X:[1.5556], M:[0.8889], q:[0.5556], qb:[0.5556], phi:[0.2222]] | t^2.667 + 3*t^4. + t^4.667 + t^5.333 - 4*t^6. - t^3.667/y - t^3.667*y | detail | {a: 11/24, c: 1/2, X1: 14/9, M1: 8/9, q1: 5/9, qb1: 5/9, phi1: 2/9} |
75484 | SU2adj2nf1 | ${}\phi_{1}^{2}$ + ${ }\phi_{2}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 0.4583 | 0.5 | 0.9167 | [X:[1.5556], M:[0.8889], q:[0.5556], qb:[0.5556], phi:[1.0, 0.2222], S:[], Sb:[], A:[], Ab:[]] | t^2.667 + 3*t^4. + t^4.667 + t^5.333 - 4*t^6. - t^3.667/y - t^3.667*y | detail | {a: 11/24, c: 1/2, X1: 14/9, M1: 8/9, q1: 5/9, qb1: 5/9, phi1: 1, phi2: 2/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
63 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6281 | 0.7582 | 0.8284 | [M:[0.6941], q:[0.8224, 0.8224], qb:[0.4753, 0.4589], phi:[0.3553]] | t^2.082 + t^2.132 + t^2.803 + t^3.819 + 2*t^3.844 + t^3.868 + 2*t^3.893 + t^4.165 + t^4.214 + t^4.263 + t^4.885 + 2*t^4.934 + t^5.605 + t^5.901 + 2*t^5.926 + t^5.951 + 2*t^5.975 - 2*t^6. - t^4.066/y - t^4.066*y | detail |