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 |
---|---|---|---|---|---|---|---|---|---|
468 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5243 | 0.6766 | 0.775 | [M:[1.1728, 0.8272, 0.7366, 0.7819], q:[0.3909, 1.2181], qb:[0.4362, 0.3909], phi:[0.3909]] | [M:[[3], [-3], [7], [2]], q:[[1], [-2]], qb:[[-4], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -3 | t^2.21 + 3*t^2.346 + 2*t^2.482 + t^3.518 + t^4.42 + 3*t^4.555 + 7*t^4.691 + 7*t^4.827 + 4*t^4.963 + t^5.728 + t^5.864 - 3*t^6. - 2*t^6.136 + t^6.629 + 3*t^6.765 + 7*t^6.901 + 14*t^7.037 + 12*t^7.173 + 8*t^7.309 + 5*t^7.445 + t^7.938 + t^8.074 - 3*t^8.21 - 11*t^8.346 - 14*t^8.482 - 6*t^8.617 + t^8.839 + 3*t^8.975 - t^4.173/y - t^6.383/y - (2*t^6.518)/y + (3*t^7.555)/y + (5*t^7.691)/y + (8*t^7.827)/y + (2*t^7.963)/y - t^8.592/y - t^8.728/y - t^4.173*y - t^6.383*y - 2*t^6.518*y + 3*t^7.555*y + 5*t^7.691*y + 8*t^7.827*y + 2*t^7.963*y - t^8.592*y - t^8.728*y | g1^7*t^2.21 + 3*g1^2*t^2.346 + (2*t^2.482)/g1^3 + g1^3*t^3.518 + g1^14*t^4.42 + 3*g1^9*t^4.555 + 7*g1^4*t^4.691 + (7*t^4.827)/g1 + (4*t^4.963)/g1^6 + g1^10*t^5.728 + g1^5*t^5.864 - 3*t^6. - (2*t^6.136)/g1^5 + g1^21*t^6.629 + 3*g1^16*t^6.765 + 7*g1^11*t^6.901 + 14*g1^6*t^7.037 + 12*g1*t^7.173 + (8*t^7.309)/g1^4 + (5*t^7.445)/g1^9 + g1^17*t^7.938 + g1^12*t^8.074 - 3*g1^7*t^8.21 - 11*g1^2*t^8.346 - (14*t^8.482)/g1^3 - (6*t^8.617)/g1^8 + g1^28*t^8.839 + 3*g1^23*t^8.975 - (g1*t^4.173)/y - (g1^8*t^6.383)/y - (2*g1^3*t^6.518)/y + (3*g1^9*t^7.555)/y + (5*g1^4*t^7.691)/y + (8*t^7.827)/(g1*y) + (2*t^7.963)/(g1^6*y) - (g1^15*t^8.592)/y - (g1^10*t^8.728)/y - g1*t^4.173*y - g1^8*t^6.383*y - 2*g1^3*t^6.518*y + 3*g1^9*t^7.555*y + 5*g1^4*t^7.691*y + (8*t^7.827*y)/g1 + (2*t^7.963*y)/g1^6 - g1^15*t^8.592*y - g1^10*t^8.728*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 |
---|---|---|---|---|---|---|---|---|
758 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ | 0.4865 | 0.6294 | 0.773 | [M:[1.2857, 0.7143, 1.0, 0.8571], q:[0.4286, 1.1429], qb:[0.2857, 0.4286], phi:[0.4286]] | 2*t^2.143 + 3*t^2.571 + t^3. + t^3.857 + 4*t^4.286 + 7*t^4.714 + 7*t^5.143 + t^5.571 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 1335/2744, c: 1727/2744, M1: 9/7, M2: 5/7, M3: 1, M4: 6/7, q1: 3/7, q2: 8/7, qb1: 2/7, qb2: 3/7, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
295 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5069 | 0.6453 | 0.7855 | [M:[1.1786, 0.8214, 0.75], q:[0.3929, 1.2143], qb:[0.4286, 0.3929], phi:[0.3929]] | t^2.25 + 2*t^2.357 + 2*t^2.464 + t^3.536 + t^3.643 + t^4.5 + 2*t^4.607 + 4*t^4.714 + 5*t^4.821 + 4*t^4.929 + t^5.786 + t^5.893 - t^6. - t^4.179/y - t^4.179*y | detail |