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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4623 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}X_{1}$ | 0.6095 | 0.7583 | 0.8037 | [X:[1.3333], M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 0.9524], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 5017/8232, c: 3121/4116, X1: 4/3, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 20/21, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | -1 | t^2.286 + t^2.571 + 2*t^2.857 + 2*t^3.429 + 2*t^3.714 + 3*t^4. + t^4.286 + t^4.571 + t^4.857 + 3*t^5.143 + 2*t^5.429 + 3*t^5.714 - t^6. + 5*t^6.286 + 4*t^6.571 + 7*t^6.857 + 2*t^7.143 + 5*t^7.429 + 4*t^7.714 + 8*t^8. + 2*t^8.286 + 2*t^8.571 - 3*t^8.857 - t^4.429/y - t^7.286/y + t^7.571/y + t^7.857/y + (2*t^8.143)/y + (2*t^8.429)/y + (3*t^8.714)/y - t^4.429*y - t^7.286*y + t^7.571*y + t^7.857*y + 2*t^8.143*y + 2*t^8.429*y + 3*t^8.714*y | t^2.286 + t^2.571 + 2*t^2.857 + 2*t^3.429 + 2*t^3.714 + 3*t^4. + t^4.286 + t^4.571 + t^4.857 + 3*t^5.143 + 2*t^5.429 + 3*t^5.714 - t^6. + 5*t^6.286 + 4*t^6.571 + 7*t^6.857 + 2*t^7.143 + 5*t^7.429 + 4*t^7.714 + 8*t^8. + 2*t^8.286 + 2*t^8.571 - 3*t^8.857 - t^4.429/y - t^7.286/y + t^7.571/y + t^7.857/y + (2*t^8.143)/y + (2*t^8.429)/y + (3*t^8.714)/y - t^4.429*y - t^7.286*y + t^7.571*y + t^7.857*y + 2*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 |
---|---|---|---|---|---|---|---|---|
6187 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}X_{1}$ + ${ }M_{2}M_{8}$ | 0.5969 | 0.7368 | 0.8101 | [X:[1.3333], M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 0.9524, 1.1429], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]] | t^2.286 + 2*t^2.857 + 3*t^3.429 + 2*t^3.714 + 3*t^4. + t^4.286 + t^4.571 + 2*t^5.143 + 4*t^5.714 - 3*t^6. - t^4.429/y - t^4.429*y | detail | {a: 9827/16464, c: 6065/8232, X1: 4/3, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 20/21, M8: 8/7, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21} |
6189 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}X_{1}$ + ${ }M_{3}M_{8}$ | 0.622 | 0.7798 | 0.7977 | [X:[1.3333], M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 0.9524, 0.8571], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]] | t^2.286 + 2*t^2.571 + 2*t^2.857 + t^3.429 + 2*t^3.714 + 3*t^4. + t^4.286 + t^4.571 + 2*t^4.857 + 5*t^5.143 + 4*t^5.429 + 2*t^5.714 - t^6. - t^4.429/y - t^4.429*y | detail | {a: 209/336, c: 131/168, X1: 4/3, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 20/21, M8: 6/7, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, 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 |
---|---|---|---|---|---|---|---|---|---|
2556 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.7194 | 0.9002 | 0.7992 | [M:[1.087, 0.739, 0.8475, 0.9785, 1.0215, 0.8045, 0.913], q:[0.5435, 0.3695], qb:[0.609, 0.652], phi:[0.4565]] | t^2.217 + t^2.413 + t^2.543 + 2*t^2.739 + t^2.935 + t^3.065 + t^3.587 + t^4.109 + t^4.305 + 2*t^4.434 + 2*t^4.63 + t^4.76 + 2*t^4.827 + 4*t^4.956 + t^5.023 + t^5.085 + 3*t^5.152 + 3*t^5.282 + t^5.349 + 4*t^5.478 + t^5.607 + t^5.674 + 2*t^5.804 - 2*t^6. - t^4.37/y - t^4.37*y | detail | {a: 1723997/2396304, c: 1078525/1198152, M1: 1262/1161, M2: 286/387, M3: 328/387, M4: 1136/1161, M5: 1186/1161, M6: 934/1161, M7: 1060/1161, q1: 631/1161, q2: 143/387, qb1: 707/1161, qb2: 757/1161, phi1: 530/1161} |