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 |
---|---|---|---|---|---|---|---|---|---|
4642 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{3}^{2}$ | 0.6702 | 0.8243 | 0.813 | [M:[1.0667, 0.8, 1.0, 0.8667, 1.1333, 0.7333, 1.2667], q:[0.5333, 0.4], qb:[0.4667, 0.7333], phi:[0.4667]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 4021/6000, c: 2473/3000, M1: 16/15, M2: 4/5, M3: 1, M4: 13/15, M5: 17/15, M6: 11/15, M7: 19/15, q1: 8/15, q2: 2/5, qb1: 7/15, qb2: 11/15, phi1: 7/15} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -1 | t^2.4 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + 2*t^3.8 + t^4. + 2*t^4.2 + t^4.4 + t^4.6 + 2*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + 2*t^5.6 + 2*t^5.8 - t^6. + 2*t^6.2 + 2*t^6.4 + 4*t^6.6 + 4*t^6.8 + 3*t^7. + 5*t^7.2 + t^7.4 + 6*t^7.6 + 2*t^7.8 + 5*t^8. + 4*t^8.2 + t^8.4 + 4*t^8.6 - t^4.4/y - t^6.8/y + (2*t^8.)/y + t^8.2/y + (2*t^8.4)/y + (2*t^8.6)/y + (3*t^8.8)/y - t^4.4*y - t^6.8*y + 2*t^8.*y + t^8.2*y + 2*t^8.4*y + 2*t^8.6*y + 3*t^8.8*y | t^2.4 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + 2*t^3.8 + t^4. + 2*t^4.2 + t^4.4 + t^4.6 + 2*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + 2*t^5.6 + 2*t^5.8 - t^6. + 2*t^6.2 + 2*t^6.4 + 4*t^6.6 + 4*t^6.8 + 3*t^7. + 5*t^7.2 + t^7.4 + 6*t^7.6 + 2*t^7.8 + 5*t^8. + 4*t^8.2 + t^8.4 + 4*t^8.6 - t^4.4/y - t^6.8/y + (2*t^8.)/y + t^8.2/y + (2*t^8.4)/y + (2*t^8.6)/y + (3*t^8.8)/y - t^4.4*y - t^6.8*y + 2*t^8.*y + t^8.2*y + 2*t^8.4*y + 2*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 |
---|---|---|---|---|---|---|---|---|
6231 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{3}^{2}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.664 | 0.814 | 0.8157 | [M:[1.0667, 0.8, 1.0, 0.8667, 1.1333, 0.7333, 1.2667, 1.0667], q:[0.5333, 0.4], qb:[0.4667, 0.7333], phi:[0.4667]] | t^2.4 + t^2.6 + t^3. + 2*t^3.2 + t^3.4 + 2*t^3.8 + t^4. + 2*t^4.2 + t^4.4 + t^4.6 + 2*t^4.8 + t^5. + t^5.2 + 2*t^5.6 + 2*t^5.8 - 2*t^6. - t^4.4/y - t^4.4*y | detail | {a: 83/125, c: 407/500, M1: 16/15, M2: 4/5, M3: 1, M4: 13/15, M5: 17/15, M6: 11/15, M7: 19/15, M8: 16/15, q1: 8/15, q2: 2/5, qb1: 7/15, qb2: 11/15, 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 |
---|---|---|---|---|---|---|---|---|---|
2551 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ | 0.6953 | 0.8589 | 0.8095 | [M:[1.0882, 0.7354, 0.8386, 0.985, 1.015, 0.8086, 1.1914], q:[0.5441, 0.3677], qb:[0.6173, 0.6473], phi:[0.4559]] | t^2.206 + t^2.516 + t^2.735 + t^2.955 + t^3.045 + t^3.265 + 2*t^3.574 + t^4.103 + t^4.323 + 2*t^4.413 + t^4.632 + t^4.722 + t^4.852 + 2*t^4.942 + t^5.032 + t^5.071 + t^5.161 + 2*t^5.251 + 2*t^5.471 + t^5.561 + 3*t^5.78 - 2*t^6. - t^4.368/y - t^4.368*y | detail |