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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57270 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ | 1.454 | 1.6426 | 0.8852 | [X:[1.3333], M:[0.9815], q:[0.4817, 0.5186], qb:[0.4998, 0.4998], phi:[0.3333]] | [X:[[0, 0]], M:[[-1, -1]], q:[[-1, -2], [1, 0]], qb:[[0, 1], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | 3*t^2.945 + t^3. + t^3.055 + 2*t^3.945 + t^4. + 2*t^4.055 + 2*t^4.945 + 2*t^5.055 + t^5.446 + 2*t^5.498 + t^5.557 + 5*t^5.889 + 3*t^5.945 - 2*t^6. + t^6.055 + t^6.446 + 2*t^6.498 + t^6.557 + 5*t^6.889 + 5*t^6.945 + 4*t^7. + 3*t^7.055 + t^7.111 + t^7.335 - t^7.443 + t^7.446 + 4*t^7.498 - 2*t^7.502 - t^7.554 + t^7.557 + t^7.668 + 8*t^7.889 + 2*t^7.945 + 8*t^8. + 2*t^8.055 + 4*t^8.111 + t^8.391 + 2*t^8.443 + t^8.446 + 2*t^8.498 - 2*t^8.554 + t^8.557 - t^8.612 + 7*t^8.834 + 9*t^8.889 - 8*t^8.945 - t^4./y - t^5./y - (3*t^6.945)/y - t^7./y - t^7.055/y - (3*t^7.945)/y - t^8./y - t^8.055/y + (3*t^8.889)/y + t^8.945/y - t^4.*y - t^5.*y - 3*t^6.945*y - t^7.*y - t^7.055*y - 3*t^7.945*y - t^8.*y - t^8.055*y + 3*t^8.889*y + t^8.945*y | (3*t^2.945)/(g1*g2) + t^3. + g1*g2*t^3.055 + (2*t^3.945)/(g1*g2) + t^4. + 2*g1*g2*t^4.055 + (2*t^4.945)/(g1*g2) + 2*g1*g2*t^5.055 + t^5.446/(g1*g2^4) + 2*g2^3*t^5.498 + (g1*t^5.557)/g2^2 + (5*t^5.889)/(g1^2*g2^2) + (3*t^5.945)/(g1*g2) - 2*t^6. + g1*g2*t^6.055 + t^6.446/(g1*g2^4) + 2*g2^3*t^6.498 + (g1*t^6.557)/g2^2 + (5*t^6.889)/(g1^2*g2^2) + (5*t^6.945)/(g1*g2) + 4*t^7. + 3*g1*g2*t^7.055 + g1^2*g2^2*t^7.111 + t^7.335/(g1^3*g2^6) - (g2^2*t^7.443)/g1 + t^7.446/(g1*g2^4) + 4*g2^3*t^7.498 - (2*t^7.502)/g2^3 - g1*g2^4*t^7.554 + (g1*t^7.557)/g2^2 + g1^3*t^7.668 + (8*t^7.889)/(g1^2*g2^2) + (2*t^7.945)/(g1*g2) + 8*t^8. + 2*g1*g2*t^8.055 + 4*g1^2*g2^2*t^8.111 + t^8.391/(g1^2*g2^5) + (2*g2^2*t^8.443)/g1 + t^8.446/(g1*g2^4) + 2*g2^3*t^8.498 - 2*g1*g2^4*t^8.554 + (g1*t^8.557)/g2^2 - (g1^2*t^8.612)/g2 + (7*t^8.834)/(g1^3*g2^3) + (9*t^8.889)/(g1^2*g2^2) - (8*t^8.945)/(g1*g2) - t^4./y - t^5./y - (3*t^6.945)/(g1*g2*y) - t^7./y - (g1*g2*t^7.055)/y - (3*t^7.945)/(g1*g2*y) - t^8./y - (g1*g2*t^8.055)/y + (3*t^8.889)/(g1^2*g2^2*y) + t^8.945/(g1*g2*y) - t^4.*y - t^5.*y - (3*t^6.945*y)/(g1*g2) - t^7.*y - g1*g2*t^7.055*y - (3*t^7.945*y)/(g1*g2) - t^8.*y - g1*g2*t^8.055*y + (3*t^8.889*y)/(g1^2*g2^2) + (t^8.945*y)/(g1*g2) |
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 |
---|---|---|---|---|---|---|---|---|
58131 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4443 | 1.6348 | 0.8835 | [X:[1.3333], M:[0.9524], q:[0.4921, 0.5873], qb:[0.4603, 0.4603], phi:[0.3333]] | 3*t^2.86 + t^3. + t^3.14 + 2*t^3.86 + t^4. + 2*t^4.14 + 2*t^4.86 + 4*t^5.14 + 6*t^5.71 + 3*t^5.86 - t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | {a: 3397/2352, c: 3845/2352, X1: 4/3, M1: 20/21, q1: 31/63, q2: 37/63, qb1: 29/63, qb2: 29/63, phi1: 1/3} |
58130 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4383 | 1.6247 | 0.8852 | [X:[1.3333], M:[1.0165], q:[0.5665, 0.5336], qb:[0.4499, 0.4499], phi:[0.3333]] | t^2.95 + t^3. + 3*t^3.05 + 2*t^3.95 + t^4. + 2*t^4.05 + 2*t^4.95 + 4*t^5.05 + t^5.9 + t^5.95 - t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
47886 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4552 | 1.6417 | 0.8864 | [X:[1.3445], M:[0.9482], q:[0.49, 0.5268], qb:[0.4916, 0.525], phi:[0.3278]] | t^2.845 + t^2.945 + t^2.95 + t^3.045 + t^3.055 + t^3.928 + t^4.028 + t^4.033 + t^4.038 + t^4.139 + t^4.911 + t^5.012 + t^5.022 + t^5.122 + t^5.504 + t^5.508 + t^5.608 + t^5.614 + t^5.689 + t^5.789 + t^5.794 + t^5.89 + t^5.895 + t^5.9 + t^5.99 + t^5.995 - 3*t^6. - t^3.983/y - t^4.967/y - t^3.983*y - t^4.967*y | detail |