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 |
---|---|---|---|---|---|---|---|---|---|
4255 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{6}$ | 0.5849 | 0.7208 | 0.8115 | [X:[1.3043], M:[1.2174, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435, 0.9565], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 56931/97336, c: 17539/24334, X1: 30/23, M1: 28/23, M2: 24/23, M3: 18/23, M4: 16/23, M5: 22/23, M6: 24/23, M7: 22/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$ | ${}M_{6}M_{7}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 0 | t^2.348 + t^2.609 + 2*t^2.87 + t^3.13 + 2*t^3.652 + t^3.913 + t^4.174 + 2*t^4.435 + 2*t^4.957 + 2*t^5.217 + 3*t^5.478 + 3*t^5.739 + 2*t^6.261 + 2*t^6.522 + 2*t^6.783 + 3*t^7.043 + 3*t^7.304 + 2*t^7.565 + 3*t^7.826 + 6*t^8.087 + 3*t^8.348 + 2*t^8.609 - t^4.304/y - t^6.913/y + t^7.696/y + t^7.957/y + (2*t^8.217)/y + (3*t^8.478)/y + (2*t^8.739)/y - t^4.304*y - t^6.913*y + t^7.696*y + t^7.957*y + 2*t^8.217*y + 3*t^8.478*y + 2*t^8.739*y | t^2.348 + t^2.609 + 2*t^2.87 + t^3.13 + 2*t^3.652 + t^3.913 + t^4.174 + 2*t^4.435 + 2*t^4.957 + 2*t^5.217 + 3*t^5.478 + 3*t^5.739 + 2*t^6.261 + 2*t^6.522 + 2*t^6.783 + 3*t^7.043 + 3*t^7.304 + 2*t^7.565 + 3*t^7.826 + 6*t^8.087 + 3*t^8.348 + 2*t^8.609 - t^4.304/y - t^6.913/y + t^7.696/y + t^7.957/y + (2*t^8.217)/y + (3*t^8.478)/y + (2*t^8.739)/y - t^4.304*y - t^6.913*y + t^7.696*y + t^7.957*y + 2*t^8.217*y + 3*t^8.478*y + 2*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 |
---|---|---|---|---|---|---|---|---|
5736 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{8}$ | 0.6024 | 0.7518 | 0.8012 | [X:[1.3043], M:[1.2174, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435, 0.9565, 0.7826], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | 2*t^2.348 + t^2.609 + 2*t^2.87 + t^3.13 + t^3.652 + t^3.913 + t^4.174 + 2*t^4.435 + 2*t^4.696 + 3*t^4.957 + 4*t^5.217 + 4*t^5.478 + 3*t^5.739 - t^4.304/y - t^4.304*y | detail | {a: 117267/194672, c: 73181/97336, X1: 30/23, M1: 28/23, M2: 24/23, M3: 18/23, M4: 16/23, M5: 22/23, M6: 24/23, M7: 22/23, M8: 18/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
5735 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{6}$ + ${ }M_{6}M_{8}$ | 0.5889 | 0.7275 | 0.8095 | [X:[1.3043], M:[1.2174, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435, 0.9565, 0.9565], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | t^2.348 + t^2.609 + 3*t^2.87 + 2*t^3.652 + t^3.913 + t^4.174 + 2*t^4.435 + 2*t^4.957 + 3*t^5.217 + 3*t^5.478 + 5*t^5.739 - 2*t^6. - t^4.304/y - t^4.304*y | detail | {a: 114651/194672, c: 70815/97336, X1: 30/23, M1: 28/23, M2: 24/23, M3: 18/23, M4: 16/23, M5: 22/23, M6: 24/23, M7: 22/23, M8: 22/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
5737 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{6}$ + ${ }M_{8}X_{1}$ | 0.6055 | 0.7604 | 0.7963 | [X:[1.3043], M:[1.2174, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435, 0.9565, 0.6957], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | t^2.087 + t^2.348 + t^2.609 + 2*t^2.87 + t^3.13 + 2*t^3.652 + 2*t^4.174 + 3*t^4.435 + t^4.696 + 4*t^4.957 + 3*t^5.217 + 3*t^5.478 + 5*t^5.739 - t^4.304/y - t^4.304*y | detail | {a: 117873/194672, c: 74013/97336, X1: 30/23, M1: 28/23, M2: 24/23, M3: 18/23, M4: 16/23, M5: 22/23, M6: 24/23, M7: 22/23, M8: 16/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, 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 |
---|---|---|---|---|---|---|---|---|---|
2255 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ | 0.6786 | 0.8465 | 0.8017 | [X:[1.3592], M:[1.0164, 1.1714, 0.9836, 0.6408, 0.8286, 0.7511, 0.8286], q:[0.7735, 0.3979], qb:[0.5857, 0.4307], phi:[0.4531]] | t^2.253 + 2*t^2.486 + t^2.718 + t^2.951 + t^3.049 + t^3.612 + t^3.845 + t^3.943 + t^4.078 + t^4.31 + t^4.408 + t^4.507 + 2*t^4.739 + t^4.873 + 4*t^4.972 + 3*t^5.204 + t^5.302 + 2*t^5.437 + t^5.535 + t^5.669 + t^5.767 + t^5.866 - 2*t^6. - t^4.359/y - t^4.359*y | detail |