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 |
---|---|---|---|---|---|---|---|---|---|
1531 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ | 0.5758 | 0.7217 | 0.7979 | [M:[0.8667, 1.0, 1.1333, 0.7333, 1.2667], q:[0.6333, 0.5], qb:[0.2333, 0.7667], phi:[0.4667]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 691/1200, c: 433/600, M1: 13/15, M2: 1, M3: 17/15, M4: 11/15, M5: 19/15, q1: 19/30, q2: 1/2, qb1: 7/30, qb2: 23/30, phi1: 7/15} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.2 + t^2.6 + 2*t^2.8 + t^3. + t^3.4 + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^4.8 + 2*t^5. + 2*t^5.2 + 2*t^5.4 + 4*t^5.6 + 2*t^5.8 - t^6. + 2*t^6.2 + 2*t^6.4 + 3*t^6.6 + 2*t^6.8 + 2*t^7. + 4*t^7.2 + t^7.4 + t^7.6 + 5*t^7.8 + 5*t^8. + 3*t^8.2 + 5*t^8.4 + t^8.6 - 2*t^8.8 - t^4.4/y - t^7.2/y + t^7.6/y + t^7.8/y + (2*t^8.)/y + t^8.2/y + (2*t^8.4)/y + (3*t^8.6)/y + (3*t^8.8)/y - t^4.4*y - t^7.2*y + t^7.6*y + t^7.8*y + 2*t^8.*y + t^8.2*y + 2*t^8.4*y + 3*t^8.6*y + 3*t^8.8*y | t^2.2 + t^2.6 + 2*t^2.8 + t^3. + t^3.4 + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^4.8 + 2*t^5. + 2*t^5.2 + 2*t^5.4 + 4*t^5.6 + 2*t^5.8 - t^6. + 2*t^6.2 + 2*t^6.4 + 3*t^6.6 + 2*t^6.8 + 2*t^7. + 4*t^7.2 + t^7.4 + t^7.6 + 5*t^7.8 + 5*t^8. + 3*t^8.2 + 5*t^8.4 + t^8.6 - 2*t^8.8 - t^4.4/y - t^7.2/y + t^7.6/y + t^7.8/y + (2*t^8.)/y + t^8.2/y + (2*t^8.4)/y + (3*t^8.6)/y + (3*t^8.8)/y - t^4.4*y - t^7.2*y + t^7.6*y + t^7.8*y + 2*t^8.*y + t^8.2*y + 2*t^8.4*y + 3*t^8.6*y + 3*t^8.8*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 |
---|---|---|---|---|---|---|---|---|
2618 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.564 | 0.7015 | 0.804 | [M:[0.8667, 1.0, 1.1333, 0.7333, 1.2667, 1.1333], q:[0.6333, 0.5], qb:[0.2333, 0.7667], phi:[0.4667]] | t^2.2 + 2*t^2.8 + t^3. + 2*t^3.4 + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + 2*t^5. + t^5.2 + 4*t^5.6 + 2*t^5.8 - 2*t^6. - t^4.4/y - t^4.4*y | detail | {a: 141/250, c: 1403/2000, M1: 13/15, M2: 1, M3: 17/15, M4: 11/15, M5: 19/15, M6: 17/15, q1: 19/30, q2: 1/2, qb1: 7/30, qb2: 23/30, phi1: 7/15} |
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 |
---|---|---|---|---|---|---|---|---|---|
983 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ | 0.6651 | 0.8215 | 0.8096 | [M:[1.0528, 0.7461, 0.9472, 0.8518, 1.1482], q:[0.5741, 0.3731], qb:[0.4788, 0.7751], phi:[0.4497]] | t^2.238 + t^2.555 + t^2.698 + t^2.841 + t^3.159 + t^3.445 + t^3.588 + t^3.905 + t^4.048 + t^4.191 + t^4.222 + t^4.477 + t^4.508 + 2*t^4.794 + t^4.937 + t^5.08 + t^5.111 + t^5.254 + 2*t^5.397 + t^5.54 + t^5.683 + t^5.826 + t^5.857 - t^6. - t^4.349/y - t^4.349*y | detail |