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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4981 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6396 | 0.8434 | 0.7584 | [M:[0.9565, 1.1304, 1.0435, 0.8696, 0.7826, 0.6957, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 124515/194672, c: 82095/97336, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 18/23, M6: 16/23, M7: 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 |
---|---|---|---|---|
${}M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 2 | 2*t^2.087 + 2*t^2.348 + 2*t^2.609 + 2*t^3.13 + t^3.391 + t^3.652 + t^3.913 + 4*t^4.174 + 5*t^4.435 + 7*t^4.696 + 4*t^4.957 + 7*t^5.217 + 5*t^5.478 + 5*t^5.739 + 2*t^6. + 8*t^6.261 + 10*t^6.522 + 14*t^6.783 + 12*t^7.043 + 15*t^7.304 + 13*t^7.565 + 14*t^7.826 + 5*t^8.087 + 12*t^8.348 + 12*t^8.609 + 19*t^8.87 - t^4.565/y - t^6.652/y - t^6.913/y + (5*t^7.435)/y + (4*t^7.696)/y + (5*t^7.957)/y + (6*t^8.217)/y + (7*t^8.478)/y + (7*t^8.739)/y - t^4.565*y - t^6.652*y - t^6.913*y + 5*t^7.435*y + 4*t^7.696*y + 5*t^7.957*y + 6*t^8.217*y + 7*t^8.478*y + 7*t^8.739*y | 2*t^2.087 + 2*t^2.348 + 2*t^2.609 + 2*t^3.13 + t^3.391 + t^3.652 + t^3.913 + 4*t^4.174 + 5*t^4.435 + 7*t^4.696 + 4*t^4.957 + 7*t^5.217 + 5*t^5.478 + 5*t^5.739 + 2*t^6. + 8*t^6.261 + 10*t^6.522 + 14*t^6.783 + 12*t^7.043 + 15*t^7.304 + 13*t^7.565 + 14*t^7.826 + 5*t^8.087 + 12*t^8.348 + 12*t^8.609 + 19*t^8.87 - t^4.565/y - t^6.652/y - t^6.913/y + (5*t^7.435)/y + (4*t^7.696)/y + (5*t^7.957)/y + (6*t^8.217)/y + (7*t^8.478)/y + (7*t^8.739)/y - t^4.565*y - t^6.652*y - t^6.913*y + 5*t^7.435*y + 4*t^7.696*y + 5*t^7.957*y + 6*t^8.217*y + 7*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 |
---|---|---|---|---|---|---|---|---|
6559 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6512 | 0.8632 | 0.7544 | [M:[0.9565, 1.1304, 1.0435, 0.8696, 0.7826, 0.6957, 0.8696, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | 2*t^2.087 + 2*t^2.348 + 3*t^2.609 + 2*t^3.13 + t^3.652 + t^3.913 + 4*t^4.174 + 5*t^4.435 + 9*t^4.696 + 6*t^4.957 + 10*t^5.217 + 3*t^5.478 + 5*t^5.739 - t^4.565/y - t^4.565*y | detail | {a: 63387/97336, c: 42009/48668, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 18/23, M6: 16/23, M7: 20/23, M8: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
6561 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6602 | 0.883 | 0.7477 | [M:[0.9565, 1.1304, 1.0435, 0.8696, 0.7826, 0.6957, 0.8696, 0.6957], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | 3*t^2.087 + 2*t^2.348 + 2*t^2.609 + 2*t^3.13 + t^3.391 + t^3.652 + 7*t^4.174 + 7*t^4.435 + 9*t^4.696 + 4*t^4.957 + 9*t^5.217 + 6*t^5.478 + 6*t^5.739 - t^4.565/y - t^4.565*y | detail | {a: 64263/97336, c: 10744/12167, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 18/23, M6: 16/23, M7: 20/23, M8: 16/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
6560 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6571 | 0.8745 | 0.7514 | [M:[0.9565, 1.1304, 1.0435, 0.8696, 0.7826, 0.6957, 0.8696, 0.7826], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | 2*t^2.087 + 3*t^2.348 + 2*t^2.609 + 2*t^3.13 + t^3.391 + t^3.913 + 4*t^4.174 + 7*t^4.435 + 10*t^4.696 + 6*t^4.957 + 7*t^5.217 + 7*t^5.478 + 4*t^5.739 - t^4.565/y - t^4.565*y | detail | {a: 7995/12167, c: 10640/12167, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 18/23, M6: 16/23, M7: 20/23, M8: 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 |
---|---|---|---|---|---|---|---|---|---|
3122 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6448 | 0.8521 | 0.7567 | [M:[0.9472, 1.1583, 1.0528, 0.8417, 0.7362, 0.7374, 0.8417], q:[0.7368, 0.3159], qb:[0.4215, 0.4203], phi:[0.5264]] | 2*t^2.209 + 2*t^2.212 + 2*t^2.525 + 2*t^3.158 + t^3.471 + t^3.475 + t^4.101 + t^4.104 + t^4.108 + 3*t^4.417 + 4*t^4.421 + 3*t^4.424 + 4*t^4.734 + 4*t^4.737 + 3*t^5.05 + 4*t^5.367 + 4*t^5.37 + 2*t^5.68 + 6*t^5.683 + t^5.687 + t^5.996 - 2*t^6. - t^4.579/y - t^4.579*y | detail |