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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56545 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}^{2}$ | 0.6232 | 0.8018 | 0.7773 | [M:[1.2857, 0.9107, 0.7143, 0.8036, 1.0, 0.7143, 0.8571], q:[0.4018, 0.3125], qb:[0.6875, 0.8839], phi:[0.4286]] | [M:[[0], [2], [0], [-2], [0], [0], [0]], q:[[-1], [1]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 54723/87808, c: 70403/87808, M1: 9/7, M2: 51/56, M3: 5/7, M4: 45/56, M5: 1, M6: 5/7, M7: 6/7, q1: 45/112, q2: 5/16, qb1: 11/16, qb2: 99/112, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | 2*t^2.143 + t^2.411 + 2*t^2.571 + t^2.732 + t^3. + t^3.161 + t^3.696 + 3*t^4.286 + 2*t^4.554 + 5*t^4.714 + t^4.821 + 2*t^4.875 + 2*t^4.982 + 6*t^5.143 + 4*t^5.304 + t^5.411 + t^5.464 + 2*t^5.571 + 2*t^5.732 + t^5.839 + t^5.893 - 2*t^6. + t^6.107 + t^6.268 + t^6.321 + 3*t^6.429 - t^6.589 + 3*t^6.696 + 5*t^6.857 + 2*t^6.964 + t^7.018 + 3*t^7.125 + t^7.232 + 10*t^7.286 + 3*t^7.393 + 7*t^7.446 + 5*t^7.554 + 2*t^7.607 + 9*t^7.714 + t^7.821 + 8*t^7.875 + 2*t^7.982 + 4*t^8.036 - 3*t^8.143 + t^8.196 + t^8.25 + 2*t^8.304 - 2*t^8.411 + 4*t^8.464 + t^8.518 - 3*t^8.571 + t^8.625 + t^8.679 - 5*t^8.732 + 3*t^8.839 + t^8.893 - t^4.286/y - t^6.429/y - t^6.696/y - (2*t^6.857)/y - t^7.018/y + t^7.286/y + (3*t^7.554)/y + (6*t^7.714)/y + (3*t^7.875)/y + (2*t^7.982)/y + (5*t^8.143)/y + (4*t^8.304)/y + t^8.411/y + (2*t^8.571)/y + (3*t^8.732)/y + t^8.839/y + t^8.893/y - t^4.286*y - t^6.429*y - t^6.696*y - 2*t^6.857*y - t^7.018*y + t^7.286*y + 3*t^7.554*y + 6*t^7.714*y + 3*t^7.875*y + 2*t^7.982*y + 5*t^8.143*y + 4*t^8.304*y + t^8.411*y + 2*t^8.571*y + 3*t^8.732*y + t^8.839*y + t^8.893*y | 2*t^2.143 + t^2.411/g1^2 + 2*t^2.571 + g1^2*t^2.732 + t^3. + g1^2*t^3.161 + t^3.696/g1^2 + 3*t^4.286 + (2*t^4.554)/g1^2 + 5*t^4.714 + t^4.821/g1^4 + 2*g1^2*t^4.875 + (2*t^4.982)/g1^2 + 6*t^5.143 + 4*g1^2*t^5.304 + t^5.411/g1^2 + g1^4*t^5.464 + 2*t^5.571 + 2*g1^2*t^5.732 + t^5.839/g1^2 + g1^4*t^5.893 - 2*t^6. + t^6.107/g1^4 + t^6.268/g1^2 + g1^4*t^6.321 + 3*t^6.429 - g1^2*t^6.589 + (3*t^6.696)/g1^2 + 5*t^6.857 + (2*t^6.964)/g1^4 + g1^2*t^7.018 + (3*t^7.125)/g1^2 + t^7.232/g1^6 + 10*t^7.286 + (3*t^7.393)/g1^4 + 7*g1^2*t^7.446 + (5*t^7.554)/g1^2 + 2*g1^4*t^7.607 + 9*t^7.714 + t^7.821/g1^4 + 8*g1^2*t^7.875 + (2*t^7.982)/g1^2 + 4*g1^4*t^8.036 - 3*t^8.143 + g1^6*t^8.196 + t^8.25/g1^4 + 2*g1^2*t^8.304 - (2*t^8.411)/g1^2 + 4*g1^4*t^8.464 + t^8.518/g1^6 - 3*t^8.571 + g1^6*t^8.625 + t^8.679/g1^4 - 5*g1^2*t^8.732 + (3*t^8.839)/g1^2 + g1^4*t^8.893 - t^4.286/y - t^6.429/y - t^6.696/(g1^2*y) - (2*t^6.857)/y - (g1^2*t^7.018)/y + t^7.286/y + (3*t^7.554)/(g1^2*y) + (6*t^7.714)/y + (3*g1^2*t^7.875)/y + (2*t^7.982)/(g1^2*y) + (5*t^8.143)/y + (4*g1^2*t^8.304)/y + t^8.411/(g1^2*y) + (2*t^8.571)/y + (3*g1^2*t^8.732)/y + t^8.839/(g1^2*y) + (g1^4*t^8.893)/y - t^4.286*y - t^6.429*y - (t^6.696*y)/g1^2 - 2*t^6.857*y - g1^2*t^7.018*y + t^7.286*y + (3*t^7.554*y)/g1^2 + 6*t^7.714*y + 3*g1^2*t^7.875*y + (2*t^7.982*y)/g1^2 + 5*t^8.143*y + 4*g1^2*t^8.304*y + (t^8.411*y)/g1^2 + 2*t^8.571*y + 3*g1^2*t^8.732*y + (t^8.839*y)/g1^2 + g1^4*t^8.893*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
54201 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6888 | 0.8814 | 0.7814 | [M:[1.1507, 0.7416, 0.8493, 0.7927, 0.685, 0.8493, 0.7672], q:[0.3964, 0.4529], qb:[0.862, 0.7544], phi:[0.3836]] | t^2.055 + t^2.225 + 2*t^2.301 + t^2.378 + 2*t^2.548 + t^3.529 + t^3.868 + t^4.11 + t^4.28 + 2*t^4.357 + t^4.433 + t^4.45 + 2*t^4.526 + 6*t^4.603 + 2*t^4.68 + t^4.756 + 2*t^4.773 + 5*t^4.849 + 2*t^4.926 + 3*t^5.096 + t^5.584 + t^5.83 + t^5.907 - 3*t^6. - t^4.151/y - t^4.151*y | detail |