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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6439 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ | 0.4849 | 0.5942 | 0.8159 | [X:[1.5, 1.4167, 1.3333], M:[0.5, 0.8333, 0.5833, 0.75, 1.25, 0.9167, 1.0, 0.8333], q:[1.0833, 0.4167], qb:[0.3333, 0.8333], phi:[0.3333]] | [X:[[0], [0], [0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 993/2048, c: 1217/2048, X1: 3/2, X2: 17/12, X3: 4/3, M1: 1/2, M2: 5/6, M3: 7/12, M4: 3/4, M5: 5/4, M6: 11/12, M7: 1, M8: 5/6, q1: 13/12, q2: 5/12, qb1: 1/3, qb2: 5/6, phi1: 1/3} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{7}$, ${ }X_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}q_{2}^{2}$ | ${}$ | -2 | t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^4.25 + 2*t^4.5 + t^4.75 + 3*t^5. + 3*t^5.25 + 4*t^5.5 - 2*t^6. - t^6.25 + 2*t^6.75 + t^7. + 2*t^7.25 + 5*t^7.5 + 3*t^7.75 + 5*t^8. + t^8.25 - 3*t^8.5 - 5*t^8.75 - t^4./y - (2*t^6.5)/y - t^6.75/y + t^7.25/y + (2*t^7.5)/y + (2*t^7.75)/y + (2*t^8.)/y + (3*t^8.25)/y + (2*t^8.5)/y + t^8.75/y - t^4.*y - 2*t^6.5*y - t^6.75*y + t^7.25*y + 2*t^7.5*y + 2*t^7.75*y + 2*t^8.*y + 3*t^8.25*y + 2*t^8.5*y + t^8.75*y | t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^4.25 + 2*t^4.5 + t^4.75 + 3*t^5. + 3*t^5.25 + 4*t^5.5 - 2*t^6. - t^6.25 + 2*t^6.75 + t^7. + 2*t^7.25 + 5*t^7.5 + 3*t^7.75 + 5*t^8. + t^8.25 - 3*t^8.5 - 5*t^8.75 - t^4./y - (2*t^6.5)/y - t^6.75/y + t^7.25/y + (2*t^7.5)/y + (2*t^7.75)/y + (2*t^8.)/y + (3*t^8.25)/y + (2*t^8.5)/y + t^8.75/y - t^4.*y - 2*t^6.5*y - t^6.75*y + t^7.25*y + 2*t^7.5*y + 2*t^7.75*y + 2*t^8.*y + 3*t^8.25*y + 2*t^8.5*y + t^8.75*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 |
---|---|---|---|---|---|---|---|---|---|
4815 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7251 | 0.9327 | 0.7774 | [M:[0.984, 0.7796, 0.9329, 0.8307, 1.1693, 0.7285, 0.6773, 0.7796], q:[0.6262, 0.3898], qb:[0.4409, 0.7796], phi:[0.4409]] | t^2.032 + t^2.185 + 2*t^2.339 + t^2.492 + t^2.645 + t^2.799 + t^2.952 + t^3.508 + t^4.064 + 2*t^4.217 + 4*t^4.371 + 4*t^4.524 + 5*t^4.677 + 4*t^4.831 + 5*t^4.984 + t^5.08 + 4*t^5.137 + 3*t^5.291 + t^5.444 + t^5.54 + 2*t^5.597 + t^5.693 + t^5.751 + t^5.847 + t^5.904 - 2*t^6. - t^4.323/y - t^4.323*y | detail |