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 |
---|---|---|---|---|---|---|---|---|---|
3410 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.6756 | 0.8512 | 0.7937 | [M:[0.8571, 1.0476, 1.1429, 0.7619, 0.7619], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 227/336, c: 143/168, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 16/21, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$ | ${}M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0 | 2*t^2.286 + 2*t^2.571 + t^2.857 + t^3.143 + t^3.429 + t^3.714 + 2*t^4. + 3*t^4.286 + 3*t^4.571 + 4*t^4.857 + 5*t^5.143 + 4*t^5.429 + 3*t^5.714 + 4*t^6.286 + 9*t^6.571 + 9*t^6.857 + 7*t^7.143 + 6*t^7.429 + 10*t^7.714 + 8*t^8. + 2*t^8.286 + 5*t^8.571 + 8*t^8.857 - t^4.429/y - (2*t^6.714)/y + t^7.571/y + (4*t^7.857)/y + (5*t^8.143)/y + (4*t^8.429)/y + (4*t^8.714)/y - t^4.429*y - 2*t^6.714*y + t^7.571*y + 4*t^7.857*y + 5*t^8.143*y + 4*t^8.429*y + 4*t^8.714*y | 2*t^2.286 + 2*t^2.571 + t^2.857 + t^3.143 + t^3.429 + t^3.714 + 2*t^4. + 3*t^4.286 + 3*t^4.571 + 4*t^4.857 + 5*t^5.143 + 4*t^5.429 + 3*t^5.714 + 4*t^6.286 + 9*t^6.571 + 9*t^6.857 + 7*t^7.143 + 6*t^7.429 + 10*t^7.714 + 8*t^8. + 2*t^8.286 + 5*t^8.571 + 8*t^8.857 - t^4.429/y - (2*t^6.714)/y + t^7.571/y + (4*t^7.857)/y + (5*t^8.143)/y + (4*t^8.429)/y + (4*t^8.714)/y - t^4.429*y - 2*t^6.714*y + t^7.571*y + 4*t^7.857*y + 5*t^8.143*y + 4*t^8.429*y + 4*t^8.714*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 |
---|---|---|---|---|---|---|---|---|
3895 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ | 0.68 | 0.8586 | 0.792 | [M:[0.8571, 1.0476, 1.1429, 0.7619, 0.7619, 0.9524], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]] | 2*t^2.286 + 2*t^2.571 + 2*t^2.857 + t^3.429 + t^3.714 + 2*t^4. + 3*t^4.286 + 3*t^4.571 + 4*t^4.857 + 7*t^5.143 + 4*t^5.429 + 3*t^5.714 - t^6. - t^4.429/y - t^4.429*y | detail | {a: 933/1372, c: 589/686, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 16/21, M6: 20/21, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21} |
3896 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6941 | 0.8846 | 0.7847 | [M:[0.8571, 1.0476, 1.1429, 0.7619, 0.7619, 0.7619], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]] | 3*t^2.286 + 2*t^2.571 + t^2.857 + t^3.143 + t^3.429 + 2*t^4. + 3*t^4.286 + 6*t^4.571 + 6*t^4.857 + 6*t^5.143 + 5*t^5.429 + 4*t^5.714 - 2*t^6. - t^4.429/y - t^4.429*y | detail | {a: 2857/4116, c: 3641/4116, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 16/21, M6: 16/21, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21} |
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 |
---|---|---|---|---|---|---|---|---|---|
2850 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6802 | 0.8591 | 0.7917 | [M:[0.8326, 1.0558, 1.1674, 0.721, 0.721], q:[0.4035, 0.764], qb:[0.4291, 0.5151], phi:[0.4721]] | 2*t^2.163 + t^2.498 + t^2.756 + t^2.833 + t^3.167 + t^3.502 + t^3.579 + t^3.914 + t^3.991 + t^4.172 + t^4.249 + 3*t^4.326 + t^4.507 + 2*t^4.661 + 2*t^4.919 + 3*t^4.996 + t^5.253 + 3*t^5.33 + t^5.511 + t^5.588 + 3*t^5.665 + t^5.742 - t^6. - t^4.416/y - t^4.416*y | detail |