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 |
---|---|---|---|---|---|---|---|---|---|
4127 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}X_{1}$ | 0.6008 | 0.7421 | 0.8096 | [X:[1.3913], M:[1.1304, 1.1304, 0.7826, 0.8696, 1.0435, 0.9565, 0.6087], q:[0.7826, 0.2609], qb:[0.6087, 0.6087], phi:[0.4348]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 14619/24334, c: 36115/48668, X1: 32/23, M1: 26/23, M2: 26/23, M3: 18/23, M4: 20/23, M5: 24/23, M6: 22/23, M7: 14/23, q1: 18/23, q2: 6/23, qb1: 14/23, qb2: 14/23, phi1: 10/23} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{1}\phi_{1}^{2}$ | -2 | t^2.348 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.391 + 2*t^3.913 + 2*t^4.174 + t^4.696 + 3*t^4.957 + 4*t^5.217 + 3*t^5.478 + 3*t^5.739 - 2*t^6. + t^6.261 + 4*t^6.522 + 4*t^6.783 + t^7.043 + t^7.304 + 5*t^7.565 + 7*t^7.826 + 7*t^8.087 + 3*t^8.348 - 4*t^8.609 - t^8.87 - t^4.304/y - t^6.652/y + (3*t^7.957)/y + (2*t^8.217)/y + (3*t^8.478)/y + (3*t^8.739)/y - t^4.304*y - t^6.652*y + 3*t^7.957*y + 2*t^8.217*y + 3*t^8.478*y + 3*t^8.739*y | t^2.348 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.391 + 2*t^3.913 + 2*t^4.174 + t^4.696 + 3*t^4.957 + 4*t^5.217 + 3*t^5.478 + 3*t^5.739 - 2*t^6. + t^6.261 + 4*t^6.522 + 4*t^6.783 + t^7.043 + t^7.304 + 5*t^7.565 + 7*t^7.826 + 7*t^8.087 + 3*t^8.348 - 4*t^8.609 - t^8.87 - t^4.304/y - t^6.652/y + (3*t^7.957)/y + (2*t^8.217)/y + (3*t^8.478)/y + (3*t^8.739)/y - t^4.304*y - t^6.652*y + 3*t^7.957*y + 2*t^8.217*y + 3*t^8.478*y + 3*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 |
---|---|---|---|---|---|---|---|---|
5630 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}X_{1}$ + ${ }M_{3}M_{8}$ | 0.5833 | 0.711 | 0.8204 | [X:[1.3913], M:[1.1304, 1.1304, 0.7826, 0.8696, 1.0435, 0.9565, 0.6087, 1.2174], q:[0.7826, 0.2609], qb:[0.6087, 0.6087], phi:[0.4348]] | 2*t^2.609 + t^2.87 + t^3.13 + t^3.391 + t^3.652 + 2*t^3.913 + 2*t^4.174 + t^4.957 + 3*t^5.217 + 2*t^5.478 + 2*t^5.739 - 2*t^6. - t^4.304/y - t^4.304*y | detail | {a: 113547/194672, c: 69205/97336, X1: 32/23, M1: 26/23, M2: 26/23, M3: 18/23, M4: 20/23, M5: 24/23, M6: 22/23, M7: 14/23, M8: 28/23, q1: 18/23, q2: 6/23, qb1: 14/23, qb2: 14/23, phi1: 10/23} |
5633 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}X_{1}$ + ${ }M_{5}M_{8}$ | 0.6048 | 0.7488 | 0.8077 | [X:[1.3913], M:[1.1304, 1.1304, 0.7826, 0.8696, 1.0435, 0.9565, 0.6087, 0.9565], q:[0.7826, 0.2609], qb:[0.6087, 0.6087], phi:[0.4348]] | t^2.348 + 2*t^2.609 + 2*t^2.87 + t^3.391 + 2*t^3.913 + 2*t^4.174 + t^4.696 + 3*t^4.957 + 5*t^5.217 + 4*t^5.478 + 3*t^5.739 - 3*t^6. - t^4.304/y - t^4.304*y | detail | {a: 117741/194672, c: 72889/97336, X1: 32/23, M1: 26/23, M2: 26/23, M3: 18/23, M4: 20/23, M5: 24/23, M6: 22/23, M7: 14/23, M8: 22/23, q1: 18/23, q2: 6/23, qb1: 14/23, qb2: 14/23, phi1: 10/23} |
5631 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}X_{1}$ + ${ }M_{6}M_{8}$ | 0.5967 | 0.7353 | 0.8115 | [X:[1.3913], M:[1.1304, 1.1304, 0.7826, 0.8696, 1.0435, 0.9565, 0.6087, 1.0435], q:[0.7826, 0.2609], qb:[0.6087, 0.6087], phi:[0.4348]] | t^2.348 + 2*t^2.609 + 2*t^3.13 + t^3.391 + 2*t^3.913 + 2*t^4.174 + t^4.696 + 3*t^4.957 + 3*t^5.217 + 2*t^5.478 + 4*t^5.739 - 3*t^6. - t^4.304/y - t^4.304*y | detail | {a: 116163/194672, c: 71571/97336, X1: 32/23, M1: 26/23, M2: 26/23, M3: 18/23, M4: 20/23, M5: 24/23, M6: 22/23, M7: 14/23, M8: 24/23, q1: 18/23, q2: 6/23, qb1: 14/23, qb2: 14/23, phi1: 10/23} |
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 |
---|---|---|---|---|---|---|---|---|---|
2151 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7044 | 0.8881 | 0.7931 | [M:[1.0862, 1.0862, 1.0258, 0.9138, 0.6898, 0.8018, 0.7413], q:[0.7716, 0.4267], qb:[0.4871, 0.4871], phi:[0.4569]] | t^2.069 + t^2.224 + t^2.405 + 2*t^2.741 + t^3.077 + t^3.259 + t^3.776 + 2*t^4.112 + t^4.139 + 4*t^4.293 + t^4.448 + t^4.475 + t^4.629 + 3*t^4.811 + 2*t^4.965 + 3*t^5.147 + t^5.301 + t^5.328 + 5*t^5.483 + t^5.664 + t^5.845 - 2*t^6. - t^4.371/y - t^4.371*y | detail |