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 |
---|---|---|---|---|---|---|---|---|---|
46310 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6056 | 0.7795 | 0.7769 | [M:[0.9565, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | [M:[[0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 7368/12167, c: 9484/12167, M1: 22/23, M2: 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 |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}q_{2}\tilde{q}_{1}^{3}$, ${ 2}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 3 | t^2.087 + t^2.348 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.391 + 2*t^3.652 + 2*t^3.913 + 2*t^4.174 + 2*t^4.435 + 3*t^4.696 + 3*t^4.957 + 5*t^5.217 + 3*t^5.478 + 3*t^5.739 + 3*t^6. + 5*t^6.261 + 6*t^6.522 + 6*t^6.783 + 6*t^7.043 + 7*t^7.304 + 7*t^7.565 + 9*t^7.826 + 6*t^8.087 + 6*t^8.348 + 4*t^8.609 + 6*t^8.87 - t^4.565/y - t^7.174/y + t^7.435/y + (2*t^7.696)/y + (4*t^7.957)/y + (3*t^8.217)/y + (4*t^8.478)/y + (5*t^8.739)/y - t^4.565*y - t^7.174*y + t^7.435*y + 2*t^7.696*y + 4*t^7.957*y + 3*t^8.217*y + 4*t^8.478*y + 5*t^8.739*y | t^2.087 + t^2.348 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.391 + 2*t^3.652 + 2*t^3.913 + 2*t^4.174 + 2*t^4.435 + 3*t^4.696 + 3*t^4.957 + 5*t^5.217 + 3*t^5.478 + 3*t^5.739 + 3*t^6. + 5*t^6.261 + 6*t^6.522 + 6*t^6.783 + 6*t^7.043 + 7*t^7.304 + 7*t^7.565 + 9*t^7.826 + 6*t^8.087 + 6*t^8.348 + 4*t^8.609 + 6*t^8.87 - t^4.565/y - t^7.174/y + t^7.435/y + (2*t^7.696)/y + (4*t^7.957)/y + (3*t^8.217)/y + (4*t^8.478)/y + (5*t^8.739)/y - t^4.565*y - t^7.174*y + t^7.435*y + 2*t^7.696*y + 4*t^7.957*y + 3*t^8.217*y + 4*t^8.478*y + 5*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 |
---|---|---|---|---|---|---|---|---|
46686 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ | 0.6172 | 0.7992 | 0.7722 | [M:[0.9565, 0.8696, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.087 + t^2.348 + 3*t^2.609 + t^2.87 + t^3.13 + 2*t^3.652 + 2*t^3.913 + 2*t^4.174 + 2*t^4.435 + 4*t^4.696 + 4*t^4.957 + 8*t^5.217 + 3*t^5.478 + 3*t^5.739 + t^6. - t^4.565/y - t^4.565*y | detail | {a: 120147/194672, c: 77795/97336, M1: 22/23, M2: 20/23, M3: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
46398 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6262 | 0.8191 | 0.7645 | [M:[0.9565, 0.8696, 0.6957], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | 2*t^2.087 + t^2.348 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.391 + 2*t^3.652 + t^3.913 + 4*t^4.174 + 3*t^4.435 + 5*t^4.696 + 4*t^4.957 + 6*t^5.217 + 4*t^5.478 + 5*t^5.739 + 3*t^6. - t^4.565/y - t^4.565*y | detail | {a: 121899/194672, c: 79729/97336, M1: 22/23, M2: 20/23, M3: 16/23, 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 |
---|---|---|---|---|---|---|---|---|---|
46064 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6107 | 0.7887 | 0.7743 | [M:[0.9465, 0.8395], q:[0.7366, 0.3169], qb:[0.4238, 0.4157], phi:[0.5267]] | t^2.198 + t^2.222 + 2*t^2.519 + t^2.84 + t^3.16 + t^3.457 + t^3.481 + t^3.778 + t^3.802 + t^4.074 + t^4.099 + t^4.123 + t^4.395 + t^4.42 + t^4.444 + 2*t^4.716 + 2*t^4.741 + 4*t^5.037 + t^5.062 + 3*t^5.358 + t^5.383 + t^5.655 + 3*t^5.679 + 2*t^5.976 + t^6. - t^4.58/y - t^4.58*y | detail |