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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3504 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.619 | 0.8038 | 0.7701 | [M:[0.9565, 1.1304, 1.0435, 0.8696, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 15063/24334, c: 39119/48668, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 18/23, M6: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | 2 | t^2.087 + 2*t^2.348 + 2*t^2.609 + 2*t^3.13 + t^3.391 + t^3.652 + 2*t^3.913 + 2*t^4.174 + 3*t^4.435 + 5*t^4.696 + 4*t^4.957 + 5*t^5.217 + 4*t^5.478 + 4*t^5.739 + 2*t^6. + 6*t^6.261 + 7*t^6.522 + 7*t^6.783 + 10*t^7.043 + 9*t^7.304 + 9*t^7.565 + 11*t^7.826 + 5*t^8.087 + 7*t^8.348 + 7*t^8.609 + 9*t^8.87 - t^4.565/y - t^6.913/y - t^7.174/y + (3*t^7.435)/y + (2*t^7.696)/y + (5*t^7.957)/y + (4*t^8.217)/y + (5*t^8.478)/y + (7*t^8.739)/y - t^4.565*y - t^6.913*y - t^7.174*y + 3*t^7.435*y + 2*t^7.696*y + 5*t^7.957*y + 4*t^8.217*y + 5*t^8.478*y + 7*t^8.739*y | t^2.087 + 2*t^2.348 + 2*t^2.609 + 2*t^3.13 + t^3.391 + t^3.652 + 2*t^3.913 + 2*t^4.174 + 3*t^4.435 + 5*t^4.696 + 4*t^4.957 + 5*t^5.217 + 4*t^5.478 + 4*t^5.739 + 2*t^6. + 6*t^6.261 + 7*t^6.522 + 7*t^6.783 + 10*t^7.043 + 9*t^7.304 + 9*t^7.565 + 11*t^7.826 + 5*t^8.087 + 7*t^8.348 + 7*t^8.609 + 9*t^8.87 - t^4.565/y - t^6.913/y - t^7.174/y + (3*t^7.435)/y + (2*t^7.696)/y + (5*t^7.957)/y + (4*t^8.217)/y + (5*t^8.478)/y + (7*t^8.739)/y - t^4.565*y - t^6.913*y - t^7.174*y + 3*t^7.435*y + 2*t^7.696*y + 5*t^7.957*y + 4*t^8.217*y + 5*t^8.478*y + 7*t^8.739*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 |
---|---|---|---|---|---|---|---|---|
5190 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6306 | 0.8235 | 0.7657 | [M:[0.9565, 1.1304, 1.0435, 0.8696, 0.7826, 0.8696, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.087 + 2*t^2.348 + 3*t^2.609 + 2*t^3.13 + t^3.652 + 2*t^3.913 + 2*t^4.174 + 3*t^4.435 + 6*t^4.696 + 6*t^4.957 + 8*t^5.217 + 3*t^5.478 + 4*t^5.739 - t^4.565/y - t^4.565*y | detail | {a: 122763/194672, c: 80161/97336, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 18/23, M6: 20/23, M7: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
5191 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6365 | 0.8349 | 0.7624 | [M:[0.9565, 1.1304, 1.0435, 0.8696, 0.7826, 0.8696, 0.7826], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.087 + 3*t^2.348 + 2*t^2.609 + 2*t^3.13 + t^3.391 + 2*t^3.913 + 2*t^4.174 + 4*t^4.435 + 8*t^4.696 + 6*t^4.957 + 5*t^5.217 + 6*t^5.478 + 4*t^5.739 - t^4.565/y - t^4.565*y | detail | {a: 123909/194672, c: 81263/97336, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 18/23, M6: 20/23, M7: 18/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
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 |
---|---|---|---|---|---|---|---|---|---|
2918 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6264 | 0.8129 | 0.7706 | [M:[0.9842, 1.0474, 1.0158, 0.9526, 0.7618, 0.7934], q:[0.7461, 0.2697], qb:[0.4605, 0.4921], phi:[0.5079]] | t^2.191 + 2*t^2.286 + t^2.38 + t^2.858 + 2*t^3.047 + t^3.142 + t^3.714 + t^3.809 + t^4.287 + 2*t^4.382 + 3*t^4.476 + 4*t^4.571 + 2*t^4.666 + t^4.76 + t^5.049 + 2*t^5.143 + 3*t^5.238 + 4*t^5.333 + 3*t^5.428 + t^5.522 + t^5.716 + t^5.905 - t^4.524/y - t^4.524*y | detail |