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 |
---|---|---|---|---|---|---|---|---|---|
60631 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0073 | 1.0807 | 0.932 | [X:[1.6082, 1.4122], M:[0.7837, 0.9796], q:[0.5755, 0.5755], qb:[0.4449, 1.2286], phi:[0.1959]] | [X:[[0, 2], [0, 3]], M:[[0, -4], [0, -5]], q:[[-1, 1], [-1, 1]], qb:[[1, 4], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }M_{2}^{2}$ | ${}$ | -3 | t^2.35 + t^2.94 + t^3.06 + 2*t^4.24 + t^4.7 + t^5.29 + 3*t^5.41 + 2*t^5.77 + t^5.88 - 3*t^6. + t^6.12 + t^6.59 + 2*t^6.94 + t^7.05 + 2*t^7.3 - 2*t^7.53 + t^7.64 + 6*t^7.76 + t^8.23 - t^8.35 + 4*t^8.47 - 2*t^8.71 + t^8.82 + 2*t^8.83 - 2*t^8.94 + t^7.76/y^2 - t^8.94/y^2 - t^3.59/y - t^4.18/y - t^5.94/y - (2*t^6.53)/y - t^6.65/y - t^7.11/y + t^7.24/y - t^7.82/y + t^8.41/y - (2*t^8.88)/y - t^3.59*y - t^4.18*y - t^5.94*y - 2*t^6.53*y - t^6.65*y - t^7.11*y + t^7.24*y - t^7.82*y + t^8.41*y - 2*t^8.88*y + t^7.76*y^2 - t^8.94*y^2 | t^2.35/g2^4 + t^2.94/g2^5 + g2^5*t^3.06 + 2*g2^3*t^4.24 + t^4.7/g2^8 + t^5.29/g2^9 + 3*g2*t^5.41 + (g2^2*t^5.77)/g1^3 + g1^3*g2^9*t^5.77 + t^5.88/g2^10 - 3*t^6. + g2^10*t^6.12 + t^6.59/g2 + t^6.94/g1^3 + g1^3*g2^7*t^6.94 + t^7.05/g2^12 + 2*g2^8*t^7.3 - t^7.53/(g1^3*g2) - g1^3*g2^6*t^7.53 + t^7.64/g2^13 + (6*t^7.76)/g2^3 + t^8.23/g2^14 - t^8.35/g2^4 + 4*g2^6*t^8.47 - t^8.71/(g1^3*g2^3) - g1^3*g2^4*t^8.71 + t^8.82/g2^15 + (g2^7*t^8.83)/g1^3 + g1^3*g2^14*t^8.83 - (2*t^8.94)/g2^5 + t^7.76/(g2^3*y^2) - t^8.94/(g2^5*y^2) - t^3.59/(g2*y) - t^4.18/(g2^2*y) - t^5.94/(g2^5*y) - (2*t^6.53)/(g2^6*y) - (g2^4*t^6.65)/y - t^7.11/(g2^7*y) + (g2^3*t^7.24)/y - (g2^2*t^7.82)/y + (g2*t^8.41)/y - (2*t^8.88)/(g2^10*y) - (t^3.59*y)/g2 - (t^4.18*y)/g2^2 - (t^5.94*y)/g2^5 - (2*t^6.53*y)/g2^6 - g2^4*t^6.65*y - (t^7.11*y)/g2^7 + g2^3*t^7.24*y - g2^2*t^7.82*y + g2*t^8.41*y - (2*t^8.88*y)/g2^10 + (t^7.76*y^2)/g2^3 - (t^8.94*y^2)/g2^5 |
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 |
---|---|---|---|---|---|---|---|---|
61020 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 1.0114 | 1.0855 | 0.9317 | [X:[1.6267, 1.44], M:[0.7467, 0.9333, 0.9333], q:[0.5956, 0.5956], qb:[0.4711, 1.2178], phi:[0.1867]] | t^2.24 + 2*t^2.8 + 2*t^4.32 + t^4.48 + 2*t^5.04 + 2*t^5.44 + 3*t^5.6 + 2*t^5.92 - 4*t^6. - t^3.56/y - t^4.12/y - t^5.8/y - t^3.56*y - t^4.12*y - t^5.8*y | detail | {a: 30341/30000, c: 16283/15000, X1: 122/75, X2: 36/25, M1: 56/75, M2: 14/15, M3: 14/15, q1: 134/225, q2: 134/225, qb1: 106/225, qb2: 274/225, phi1: 14/75} |
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 |
---|---|---|---|---|---|---|---|---|---|
57429 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.1368 | 1.272 | 0.8937 | [X:[1.5384], M:[0.9232, 0.6831], q:[0.4215, 0.8923], qb:[0.4246, 0.8769], phi:[0.2308]] | t^2.049 + t^2.077 + t^2.538 + t^2.77 + t^3.895 + t^3.923 + t^4.099 + t^4.127 + t^4.154 + t^4.587 + 2*t^4.615 + t^4.819 + t^4.847 + t^5.076 + 2*t^5.308 + t^5.539 + 2*t^5.87 + 2*t^5.898 + t^5.944 + t^5.972 - 2*t^6. - t^3.692/y - t^4.385/y - t^5.742/y - t^5.77/y - t^3.692*y - t^4.385*y - t^5.742*y - t^5.77*y | detail |