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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6054 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{1}M_{4}$ | 0.5786 | 0.7505 | 0.771 | [X:[1.25], M:[1.25, 0.75, 1.25, 0.75, 1.25, 0.75, 0.75, 0.75], q:[0.375, 0.375], qb:[0.375, 0.875], phi:[0.5]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1185/2048, c: 1537/2048, X1: 5/4, M1: 5/4, M2: 3/4, M3: 5/4, M4: 3/4, M5: 5/4, M6: 3/4, M7: 3/4, M8: 3/4, q1: 3/8, q2: 3/8, qb1: 3/8, qb2: 7/8, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{8}\phi_{1}q_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{7}\phi_{1}q_{1}q_{2}$, ${ }M_{8}\phi_{1}q_{1}q_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}X_{1}$, ${ }M_{4}X_{1}$, ${ }M_{7}X_{1}$, ${ }M_{8}X_{1}$ | 16 | 4*t^2.25 + t^3. + 8*t^3.75 + 7*t^4.5 + 7*t^5.25 + 16*t^6. + 13*t^6.75 + 28*t^7.5 + 7*t^8.25 - t^4.5/y - t^6.75/y + (6*t^7.5)/y + (5*t^8.25)/y - t^4.5*y - t^6.75*y + 6*t^7.5*y + 5*t^8.25*y | 4*t^2.25 + t^3. + 8*t^3.75 + 7*t^4.5 + 7*t^5.25 + 16*t^6. + 13*t^6.75 + 28*t^7.5 + 7*t^8.25 - t^4.5/y - t^6.75/y + (6*t^7.5)/y + (5*t^8.25)/y - t^4.5*y - t^6.75*y + 6*t^7.5*y + 5*t^8.25*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 |
---|---|---|---|---|---|---|---|---|---|
4560 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ | 0.5918 | 0.7596 | 0.7791 | [X:[1.3527], M:[1.1286, 0.7967, 1.2033, 0.722, 1.278, 0.6473, 0.8714, 0.722], q:[0.473, 0.3983], qb:[0.3236, 0.8797], phi:[0.4813]] | 2*t^2.166 + t^2.39 + t^2.614 + t^2.888 + t^3.386 + 2*t^3.61 + 2*t^3.834 + 2*t^4.058 + t^4.282 + 2*t^4.332 + t^4.556 + 2*t^4.78 + t^5.004 + 3*t^5.054 + t^5.228 + 2*t^5.278 + 2*t^5.502 + t^5.552 + 3*t^5.776 + t^6. - t^4.444/y - t^4.444*y | detail |