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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4223 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6523 | 0.8107 | 0.8047 | [M:[1.2, 1.0667, 1.0, 0.8, 1.0667, 0.8, 0.8667], q:[0.7667, 0.3667], qb:[0.4333, 0.5667], phi:[0.4667]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1957/3000, c: 304/375, M1: 6/5, M2: 16/15, M3: 1, M4: 4/5, M5: 16/15, M6: 4/5, M7: 13/15, q1: 23/30, q2: 11/30, qb1: 13/30, qb2: 17/30, phi1: 7/15} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$ | ${}M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0 | 2*t^2.4 + t^2.6 + t^3. + 2*t^3.2 + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + 2*t^5. + t^5.2 + t^5.4 + 4*t^5.6 + t^5.8 + 3*t^6.2 + 5*t^6.4 + 2*t^6.6 + 2*t^6.8 + 2*t^7. + 7*t^7.2 + 4*t^7.4 + 3*t^7.6 + 3*t^7.8 + 7*t^8. + 2*t^8.2 + t^8.4 + t^8.6 + 8*t^8.8 - t^4.4/y - t^6.8/y - t^7./y + t^7.2/y - t^7.6/y + (2*t^7.8)/y + (3*t^8.)/y + (2*t^8.4)/y + (5*t^8.6)/y + (2*t^8.8)/y - t^4.4*y - t^6.8*y - t^7.*y + t^7.2*y - t^7.6*y + 2*t^7.8*y + 3*t^8.*y + 2*t^8.4*y + 5*t^8.6*y + 2*t^8.8*y | 2*t^2.4 + t^2.6 + t^3. + 2*t^3.2 + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + 2*t^5. + t^5.2 + t^5.4 + 4*t^5.6 + t^5.8 + 3*t^6.2 + 5*t^6.4 + 2*t^6.6 + 2*t^6.8 + 2*t^7. + 7*t^7.2 + 4*t^7.4 + 3*t^7.6 + 3*t^7.8 + 7*t^8. + 2*t^8.2 + t^8.4 + t^8.6 + 8*t^8.8 - t^4.4/y - t^6.8/y - t^7./y + t^7.2/y - t^7.6/y + (2*t^7.8)/y + (3*t^8.)/y + (2*t^8.4)/y + (5*t^8.6)/y + (2*t^8.8)/y - t^4.4*y - t^6.8*y - t^7.*y + t^7.2*y - t^7.6*y + 2*t^7.8*y + 3*t^8.*y + 2*t^8.4*y + 5*t^8.6*y + 2*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 |
---|---|---|---|---|---|---|---|---|
5719 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{4}M_{8}$ | 0.6358 | 0.7817 | 0.8134 | [M:[1.2, 1.0667, 1.0, 0.8, 1.0667, 0.8, 0.8667, 1.2], q:[0.7667, 0.3667], qb:[0.4333, 0.5667], phi:[0.4667]] | t^2.4 + t^2.6 + t^3. + 2*t^3.2 + 2*t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 2*t^4.8 + t^5. + t^5.2 + 2*t^5.6 + t^5.8 - t^4.4/y - t^4.4*y | detail | {a: 763/1200, c: 469/600, M1: 6/5, M2: 16/15, M3: 1, M4: 4/5, M5: 16/15, M6: 4/5, M7: 13/15, M8: 6/5, q1: 23/30, q2: 11/30, qb1: 13/30, qb2: 17/30, 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 |
---|---|---|---|---|---|---|---|---|---|
2219 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.6405 | 0.7905 | 0.8102 | [M:[1.2, 1.0667, 1.0, 0.8, 1.0667, 0.8], q:[0.7667, 0.3667], qb:[0.4333, 0.5667], phi:[0.4667]] | 2*t^2.4 + t^3. + 2*t^3.2 + t^3.4 + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + t^5.4 + 3*t^5.6 + t^5.8 - t^4.4/y - t^4.4*y | detail | {a: 1281/2000, c: 1581/2000, M1: 6/5, M2: 16/15, M3: 1, M4: 4/5, M5: 16/15, M6: 4/5, q1: 23/30, q2: 11/30, qb1: 13/30, qb2: 17/30, phi1: 7/15} |