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 |
---|---|---|---|---|---|---|---|---|---|
4448 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}X_{2}$ | 0.5208 | 0.6488 | 0.8028 | [X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 0.8571, 1.1429, 0.7619], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]] | [X:[[0], [0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 25/48, c: 109/168, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 6/7, M6: 8/7, M7: 16/21, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$ | ${}M_{5}M_{6}$ | -2 | 2*t^2.286 + 2*t^2.571 + t^3.143 + t^3.429 + 2*t^4.286 + 4*t^4.571 + 3*t^4.857 + 2*t^5.143 + 2*t^5.429 + 3*t^5.714 - 2*t^6. - 2*t^6.286 + 6*t^6.571 + 7*t^6.857 + 2*t^7.143 + 2*t^7.429 + 6*t^7.714 + 2*t^8. - 5*t^8.286 - 5*t^8.571 + 7*t^8.857 - t^4.143/y - t^6.429/y - t^6.714/y + (2*t^7.571)/y + (5*t^7.857)/y + t^8.143/y + (2*t^8.429)/y + (3*t^8.714)/y - t^4.143*y - t^6.429*y - t^6.714*y + 2*t^7.571*y + 5*t^7.857*y + t^8.143*y + 2*t^8.429*y + 3*t^8.714*y | 2*t^2.286 + 2*t^2.571 + t^3.143 + t^3.429 + 2*t^4.286 + 4*t^4.571 + 3*t^4.857 + 2*t^5.143 + 2*t^5.429 + 3*t^5.714 - 2*t^6. - 2*t^6.286 + 6*t^6.571 + 7*t^6.857 + 2*t^7.143 + 2*t^7.429 + 6*t^7.714 + 2*t^8. - 5*t^8.286 - 5*t^8.571 + 7*t^8.857 - t^4.143/y - t^6.429/y - t^6.714/y + (2*t^7.571)/y + (5*t^7.857)/y + t^8.143/y + (2*t^8.429)/y + (3*t^8.714)/y - t^4.143*y - t^6.429*y - t^6.714*y + 2*t^7.571*y + 5*t^7.857*y + t^8.143*y + 2*t^8.429*y + 3*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 |
---|---|---|---|---|---|---|---|---|
5954 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}X_{2}$ + ${ }M_{6}M_{8}$ | 0.5334 | 0.6703 | 0.7958 | [X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 0.8571, 1.1429, 0.7619, 0.8571], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]] | 2*t^2.286 + 3*t^2.571 + t^3.143 + 2*t^4.286 + 4*t^4.571 + 5*t^4.857 + 5*t^5.143 + 2*t^5.429 + 2*t^5.714 - 4*t^6. - t^4.143/y - t^4.143*y | detail | {a: 4391/8232, c: 2759/4116, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 6/7, M6: 8/7, M7: 16/21, M8: 6/7, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21} |
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 |
---|---|---|---|---|---|---|---|---|---|
2411 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.6728 | 0.8548 | 0.7871 | [X:[1.5604], M:[0.4396, 1.1868, 0.7802, 0.8792, 0.7802, 0.6812, 0.8132], q:[0.7967, 0.7637], qb:[0.4561, 0.3571], phi:[0.4066]] | t^2.043 + 2*t^2.341 + 2*t^2.44 + t^2.638 + t^3.362 + t^3.461 + t^3.758 + t^4.087 + 2*t^4.384 + 2*t^4.483 + t^4.582 + 5*t^4.681 + 3*t^4.78 + 4*t^4.879 + 2*t^4.978 + t^5.077 + t^5.275 + t^5.406 + t^5.505 + t^5.703 + 6*t^5.802 + t^5.901 - 3*t^6. - t^4.22/y - t^4.22*y | detail |