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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4646 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{7}$ | 0.5999 | 0.7711 | 0.778 | [M:[1.1304, 0.9565, 0.8696, 1.2174, 0.7826, 0.7826, 1.1304], q:[0.3913, 0.4783], qb:[0.7391, 0.3043], phi:[0.5217]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 116775/194672, c: 75051/97336, M1: 26/23, M2: 22/23, M3: 20/23, M4: 28/23, M5: 18/23, M6: 18/23, M7: 26/23, q1: 9/23, q2: 11/23, qb1: 17/23, qb2: 7/23, phi1: 12/23} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}^{3}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{5}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$ | 1 | t^2.087 + 2*t^2.348 + t^2.87 + t^3.13 + 3*t^3.391 + t^3.652 + 2*t^3.913 + 2*t^4.174 + 3*t^4.435 + 3*t^4.696 + t^4.957 + 3*t^5.217 + 4*t^5.478 + 5*t^5.739 + t^6. + 5*t^6.261 + 5*t^6.522 + 9*t^6.783 + 6*t^7.043 + 5*t^7.304 + 7*t^7.565 + 7*t^7.826 + 6*t^8.087 + 3*t^8.348 + 7*t^8.609 + 6*t^8.87 - t^4.565/y - t^6.913/y + t^7.174/y + (2*t^7.435)/y + t^7.696/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 + 2*t^7.435*y + t^7.696*y + 4*t^8.217*y + 5*t^8.478*y + 7*t^8.739*y | t^2.087 + 2*t^2.348 + t^2.87 + t^3.13 + 3*t^3.391 + t^3.652 + 2*t^3.913 + 2*t^4.174 + 3*t^4.435 + 3*t^4.696 + t^4.957 + 3*t^5.217 + 4*t^5.478 + 5*t^5.739 + t^6. + 5*t^6.261 + 5*t^6.522 + 9*t^6.783 + 6*t^7.043 + 5*t^7.304 + 7*t^7.565 + 7*t^7.826 + 6*t^8.087 + 3*t^8.348 + 7*t^8.609 + 6*t^8.87 - t^4.565/y - t^6.913/y + t^7.174/y + (2*t^7.435)/y + t^7.696/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 + 2*t^7.435*y + t^7.696*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 |
---|---|---|---|---|---|---|---|---|
6214 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6173 | 0.8021 | 0.7696 | [M:[1.1304, 0.9565, 0.8696, 1.2174, 0.7826, 0.7826, 1.1304, 0.7826], q:[0.3913, 0.4783], qb:[0.7391, 0.3043], phi:[0.5217]] | t^2.087 + 3*t^2.348 + t^2.87 + t^3.13 + 3*t^3.391 + 2*t^3.913 + 2*t^4.174 + 4*t^4.435 + 6*t^4.696 + t^4.957 + 4*t^5.217 + 5*t^5.478 + 7*t^5.739 - t^6. - t^4.565/y - t^4.565*y | detail | {a: 30045/48668, c: 19519/24334, M1: 26/23, M2: 22/23, M3: 20/23, M4: 28/23, M5: 18/23, M6: 18/23, M7: 26/23, M8: 18/23, q1: 9/23, q2: 11/23, qb1: 17/23, qb2: 7/23, 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 |
---|---|---|---|---|---|---|---|---|---|
2574 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6115 | 0.7908 | 0.7732 | [M:[1.1304, 0.9565, 0.8696, 1.2174, 0.7826, 0.7826], q:[0.3913, 0.4783], qb:[0.7391, 0.3043], phi:[0.5217]] | t^2.087 + 2*t^2.348 + t^2.609 + t^2.87 + t^3.13 + 2*t^3.391 + t^3.652 + 2*t^3.913 + 2*t^4.174 + 3*t^4.435 + 4*t^4.696 + 3*t^4.957 + 4*t^5.217 + 4*t^5.478 + 4*t^5.739 + 3*t^6. - t^4.565/y - t^4.565*y | detail | {a: 59517/97336, c: 38487/48668, M1: 26/23, M2: 22/23, M3: 20/23, M4: 28/23, M5: 18/23, M6: 18/23, q1: 9/23, q2: 11/23, qb1: 17/23, qb2: 7/23, phi1: 12/23} |