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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5172 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6418 | 0.8456 | 0.759 | [M:[0.9565, 1.1304, 0.9565, 0.8696, 0.6957, 0.8696, 0.8696], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 124947/194672, c: 82311/97336, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 16/23, M6: 20/23, M7: 20/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$ | 0 | 2*t^2.087 + t^2.348 + 3*t^2.609 + 2*t^2.87 + 2*t^3.652 + t^3.913 + 4*t^4.174 + 3*t^4.435 + 7*t^4.696 + 7*t^4.957 + 8*t^5.217 + 5*t^5.478 + 4*t^5.739 + 8*t^6.261 + 9*t^6.522 + 12*t^6.783 + 13*t^7.043 + 17*t^7.304 + 14*t^7.565 + 18*t^7.826 + 8*t^8.087 + 9*t^8.348 + 4*t^8.609 + 13*t^8.87 - t^4.565/y - t^6.652/y - t^7.174/y + t^7.435/y + (7*t^7.696)/y + (9*t^7.957)/y + (5*t^8.217)/y + (7*t^8.478)/y + (4*t^8.739)/y - t^4.565*y - t^6.652*y - t^7.174*y + t^7.435*y + 7*t^7.696*y + 9*t^7.957*y + 5*t^8.217*y + 7*t^8.478*y + 4*t^8.739*y | 2*t^2.087 + t^2.348 + 3*t^2.609 + 2*t^2.87 + 2*t^3.652 + t^3.913 + 4*t^4.174 + 3*t^4.435 + 7*t^4.696 + 7*t^4.957 + 8*t^5.217 + 5*t^5.478 + 4*t^5.739 + 8*t^6.261 + 9*t^6.522 + 12*t^6.783 + 13*t^7.043 + 17*t^7.304 + 14*t^7.565 + 18*t^7.826 + 8*t^8.087 + 9*t^8.348 + 4*t^8.609 + 13*t^8.87 - t^4.565/y - t^6.652/y - t^7.174/y + t^7.435/y + (7*t^7.696)/y + (9*t^7.957)/y + (5*t^8.217)/y + (7*t^8.478)/y + (4*t^8.739)/y - t^4.565*y - t^6.652*y - t^7.174*y + t^7.435*y + 7*t^7.696*y + 9*t^7.957*y + 5*t^8.217*y + 7*t^8.478*y + 4*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 |
---|---|---|---|---|---|---|---|---|
6721 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6624 | 0.8853 | 0.7483 | [M:[0.9565, 1.1304, 0.9565, 0.8696, 0.6957, 0.8696, 0.8696, 0.6957], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | 3*t^2.087 + t^2.348 + 3*t^2.609 + 2*t^2.87 + 2*t^3.652 + 7*t^4.174 + 4*t^4.435 + 10*t^4.696 + 9*t^4.957 + 8*t^5.217 + 5*t^5.478 + 6*t^5.739 - 2*t^6. - t^4.565/y - t^4.565*y | detail | {a: 64479/97336, c: 10771/12167, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 16/23, M6: 20/23, M7: 20/23, M8: 16/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, 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 |
---|---|---|---|---|---|---|---|---|---|
3495 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6302 | 0.8259 | 0.7631 | [M:[0.9565, 1.1304, 0.9565, 0.8696, 0.6957, 0.8696], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | 2*t^2.087 + t^2.348 + 2*t^2.609 + 2*t^2.87 + t^3.391 + 2*t^3.652 + t^3.913 + 4*t^4.174 + 3*t^4.435 + 5*t^4.696 + 6*t^4.957 + 5*t^5.217 + 5*t^5.478 + 5*t^5.739 + 2*t^6. - t^4.565/y - t^4.565*y | detail | {a: 7668/12167, c: 20097/24334, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 16/23, M6: 20/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |