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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3872 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}M_{7}$ | 0.6347 | 0.7812 | 0.8125 | [X:[1.3115], M:[0.7283, 0.808, 0.6885, 0.8478, 1.1522, 0.7682, 1.2717], q:[0.8677, 0.404], qb:[0.4438, 0.7482], phi:[0.3841]] | [X:[[28]], M:[[-18], [2], [-28], [12], [-12], [-8], [18]], q:[[17], [1]], qb:[[11], [-13]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$ | ${}$ | -1 | 2*t^2.304 + t^2.424 + t^2.543 + t^3.457 + t^3.576 + 2*t^3.815 + t^3.934 + 3*t^4.609 + 2*t^4.728 + 4*t^4.848 + t^4.967 + t^5.087 + t^5.761 + t^5.881 - t^6. + 3*t^6.119 + 3*t^6.239 + 3*t^6.358 + t^6.478 + 4*t^6.913 + 2*t^7.033 + 5*t^7.152 + 2*t^7.272 + 3*t^7.391 + 3*t^7.63 + 2*t^7.749 + t^7.869 + t^8.066 - 3*t^8.304 + 6*t^8.663 + 4*t^8.782 + 3*t^8.902 - t^4.152/y - (2*t^6.457)/y - t^6.576/y + t^7.609/y + (3*t^7.728)/y + (4*t^7.848)/y + t^7.967/y - t^8.761/y + t^8.881/y - t^4.152*y - 2*t^6.457*y - t^6.576*y + t^7.609*y + 3*t^7.728*y + 4*t^7.848*y + t^7.967*y - t^8.761*y + t^8.881*y | (2*t^2.304)/g1^8 + g1^2*t^2.424 + g1^12*t^2.543 + t^3.457/g1^12 + t^3.576/g1^2 + 2*g1^18*t^3.815 + g1^28*t^3.934 + (3*t^4.609)/g1^16 + (2*t^4.728)/g1^6 + 4*g1^4*t^4.848 + g1^14*t^4.967 + g1^24*t^5.087 + t^5.761/g1^20 + t^5.881/g1^10 - t^6. + 3*g1^10*t^6.119 + 3*g1^20*t^6.239 + 3*g1^30*t^6.358 + g1^40*t^6.478 + (4*t^6.913)/g1^24 + (2*t^7.033)/g1^14 + (5*t^7.152)/g1^4 + 2*g1^6*t^7.272 + 3*g1^16*t^7.391 + 3*g1^36*t^7.63 + 2*g1^46*t^7.749 + g1^56*t^7.869 + t^8.066/g1^28 - (3*t^8.304)/g1^8 + 6*g1^22*t^8.663 + 4*g1^32*t^8.782 + 3*g1^42*t^8.902 - t^4.152/(g1^4*y) - (2*t^6.457)/(g1^12*y) - t^6.576/(g1^2*y) + t^7.609/(g1^16*y) + (3*t^7.728)/(g1^6*y) + (4*g1^4*t^7.848)/y + (g1^14*t^7.967)/y - t^8.761/(g1^20*y) + t^8.881/(g1^10*y) - (t^4.152*y)/g1^4 - (2*t^6.457*y)/g1^12 - (t^6.576*y)/g1^2 + (t^7.609*y)/g1^16 + (3*t^7.728*y)/g1^6 + 4*g1^4*t^7.848*y + g1^14*t^7.967*y - (t^8.761*y)/g1^20 + (t^8.881*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|---|
3393 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ | 0.6548 | 0.8185 | 0.8 | [X:[1.3333], M:[0.7143, 0.8095, 0.6667, 0.8571, 1.1429, 0.7619], q:[0.881, 0.4048], qb:[0.4524, 0.7381], phi:[0.381]] | t^2.143 + 2*t^2.286 + t^2.429 + t^2.571 + t^3.429 + t^3.571 + t^3.857 + t^4. + t^4.286 + 2*t^4.429 + 4*t^4.571 + 3*t^4.714 + 4*t^4.857 + t^5. + t^5.143 + t^5.571 + 2*t^5.714 + t^5.857 - t^4.143/y - t^4.143*y | detail | {a: 55/84, c: 275/336, X1: 4/3, M1: 5/7, M2: 17/21, M3: 2/3, M4: 6/7, M5: 8/7, M6: 16/21, q1: 37/42, q2: 17/42, qb1: 19/42, qb2: 31/42, phi1: 8/21} |