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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5589 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{8}$ | 0.5649 | 0.7133 | 0.7919 | [X:[1.375], M:[0.75, 1.25, 0.625, 0.875, 0.75, 1.0, 0.75, 1.125], q:[0.8125, 0.3125], qb:[0.9375, 0.4375], phi:[0.375]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 9255/16384, c: 11687/16384, X1: 11/8, M1: 3/4, M2: 5/4, M3: 5/8, M4: 7/8, M5: 3/4, M6: 1, M7: 3/4, M8: 9/8, q1: 13/16, q2: 5/16, qb1: 15/16, qb2: 7/16, phi1: 3/8} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{8}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{7}q_{1}q_{2}$ | ${}M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | 1 | 4*t^2.25 + t^3. + 2*t^3.375 + t^3.75 + 9*t^4.5 + t^4.875 + 5*t^5.25 + 4*t^5.625 + t^6. + 2*t^6.375 + 17*t^6.75 + 8*t^7.5 + 6*t^7.875 - 2*t^8.25 + 2*t^8.625 - t^4.125/y - (3*t^6.375)/y + (6*t^7.5)/y + (3*t^7.875)/y + (4*t^8.25)/y + (2*t^8.625)/y - t^4.125*y - 3*t^6.375*y + 6*t^7.5*y + 3*t^7.875*y + 4*t^8.25*y + 2*t^8.625*y | 4*t^2.25 + t^3. + 2*t^3.375 + t^3.75 + 9*t^4.5 + t^4.875 + 5*t^5.25 + 4*t^5.625 + t^6. + 2*t^6.375 + 17*t^6.75 + 8*t^7.5 + 6*t^7.875 - 2*t^8.25 + 2*t^8.625 - t^4.125/y - (3*t^6.375)/y + (6*t^7.5)/y + (3*t^7.875)/y + (4*t^8.25)/y + (2*t^8.625)/y - t^4.125*y - 3*t^6.375*y + 6*t^7.5*y + 3*t^7.875*y + 4*t^8.25*y + 2*t^8.625*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 |
---|---|---|---|---|---|---|---|---|---|
4041 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.576 | 0.7323 | 0.7866 | [X:[1.375], M:[0.75, 1.25, 0.625, 0.875, 0.75, 1.0, 0.75], q:[0.8125, 0.3125], qb:[0.9375, 0.4375], phi:[0.375]] | 4*t^2.25 + t^2.625 + t^3. + t^3.375 + t^3.75 + 9*t^4.5 + 5*t^4.875 + 6*t^5.25 + t^5.625 + 2*t^6. - t^4.125/y - t^4.125*y | detail | {a: 4719/8192, c: 5999/8192, X1: 11/8, M1: 3/4, M2: 5/4, M3: 5/8, M4: 7/8, M5: 3/4, M6: 1, M7: 3/4, q1: 13/16, q2: 5/16, qb1: 15/16, qb2: 7/16, phi1: 3/8} |