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 |
---|---|---|---|---|---|---|---|---|---|
3917 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6793 | 0.8824 | 0.7698 | [M:[1.125, 0.75, 0.75, 0.875, 0.875, 0.875], q:[0.75, 0.375], qb:[0.5, 0.375], phi:[0.5]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 5565/8192, c: 7229/8192, M1: 9/8, M2: 3/4, M3: 3/4, M4: 7/8, M5: 7/8, M6: 7/8, q1: 3/4, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$ | 1 | 3*t^2.25 + 4*t^2.625 + t^3. + 2*t^3.75 + 2*t^4.125 + 7*t^4.5 + 12*t^4.875 + 13*t^5.25 + 2*t^5.625 + t^6. + 8*t^6.375 + 17*t^6.75 + 22*t^7.125 + 30*t^7.5 + 22*t^7.875 - 2*t^8.625 - t^4.5/y - (2*t^6.75)/y - (2*t^7.125)/y + (3*t^7.5)/y + (14*t^7.875)/y + (11*t^8.25)/y + (4*t^8.625)/y - t^4.5*y - 2*t^6.75*y - 2*t^7.125*y + 3*t^7.5*y + 14*t^7.875*y + 11*t^8.25*y + 4*t^8.625*y | 3*t^2.25 + 4*t^2.625 + t^3. + 2*t^3.75 + 2*t^4.125 + 7*t^4.5 + 12*t^4.875 + 13*t^5.25 + 2*t^5.625 + t^6. + 8*t^6.375 + 17*t^6.75 + 22*t^7.125 + 30*t^7.5 + 22*t^7.875 - 2*t^8.625 - t^4.5/y - (2*t^6.75)/y - (2*t^7.125)/y + (3*t^7.5)/y + (14*t^7.875)/y + (11*t^8.25)/y + (4*t^8.625)/y - t^4.5*y - 2*t^6.75*y - 2*t^7.125*y + 3*t^7.5*y + 14*t^7.875*y + 11*t^8.25*y + 4*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 |
---|---|---|---|---|---|---|---|---|
5487 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6984 | 0.9171 | 0.7615 | [M:[1.125, 0.75, 0.75, 0.875, 0.875, 0.875, 0.75], q:[0.75, 0.375], qb:[0.5, 0.375], phi:[0.5]] | 4*t^2.25 + 4*t^2.625 + t^3. + t^3.75 + 2*t^4.125 + 11*t^4.5 + 16*t^4.875 + 14*t^5.25 + 2*t^5.625 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 5721/8192, c: 7513/8192, M1: 9/8, M2: 3/4, M3: 3/4, M4: 7/8, M5: 7/8, M6: 7/8, M7: 3/4, q1: 3/4, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 1/2} |
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 |
---|---|---|---|---|---|---|---|---|---|
3645 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6798 | 0.8846 | 0.7686 | [M:[1.1378, 0.7244, 0.75, 0.8878, 0.8622, 0.8622], q:[0.75, 0.3622], qb:[0.5, 0.3878], phi:[0.5]] | t^2.173 + 2*t^2.25 + 2*t^2.587 + 2*t^2.663 + t^3. + t^3.673 + t^3.75 + t^4.087 + t^4.163 + t^4.347 + 2*t^4.423 + 4*t^4.5 + 2*t^4.76 + 6*t^4.837 + 4*t^4.913 + 4*t^5.173 + 6*t^5.25 + 3*t^5.327 + t^5.587 + t^5.663 + t^5.847 + 2*t^5.923 - t^6. - t^4.5/y - t^4.5*y | detail |