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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47250 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6959 | 0.8526 | 0.8162 | [M:[1.0156, 0.9222, 0.9533, 1.0467, 1.0156], q:[0.5233, 0.4611], qb:[0.5545, 0.4922], phi:[0.4922]] | [M:[[-2], [10], [6], [-6], [-2]], q:[[-3], [5]], qb:[[-7], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.767 + t^2.86 + 4*t^3.047 + t^3.14 + t^4.243 + t^4.337 + 2*t^4.43 + 2*t^4.523 + 2*t^4.617 + t^4.71 + t^4.804 + t^5.533 + t^5.626 + 2*t^5.813 + 2*t^5.907 - 3*t^6. + 6*t^6.093 + 2*t^6.187 + t^7.01 + 2*t^7.103 + 2*t^7.196 + 4*t^7.29 + 3*t^7.383 + 4*t^7.477 + 4*t^7.57 + 4*t^7.663 + 2*t^7.757 + 3*t^7.85 + t^7.944 + t^8.3 + t^8.393 + t^8.486 + 3*t^8.58 + 3*t^8.673 - t^8.767 + t^8.86 + 2*t^8.953 - t^4.477/y - t^7.243/y + t^7.43/y - t^7.523/y + t^7.71/y + t^8.626/y + (4*t^8.813)/y + (5*t^8.907)/y - t^4.477*y - t^7.243*y + t^7.43*y - t^7.523*y + t^7.71*y + t^8.626*y + 4*t^8.813*y + 5*t^8.907*y | g1^10*t^2.767 + g1^6*t^2.86 + (4*t^3.047)/g1^2 + t^3.14/g1^6 + g1^11*t^4.243 + g1^7*t^4.337 + 2*g1^3*t^4.43 + (2*t^4.523)/g1 + (2*t^4.617)/g1^5 + t^4.71/g1^9 + t^4.804/g1^13 + g1^20*t^5.533 + g1^16*t^5.626 + 2*g1^8*t^5.813 + 2*g1^4*t^5.907 - 3*t^6. + (6*t^6.093)/g1^4 + (2*t^6.187)/g1^8 + g1^21*t^7.01 + 2*g1^17*t^7.103 + 2*g1^13*t^7.196 + 4*g1^9*t^7.29 + 3*g1^5*t^7.383 + 4*g1*t^7.477 + (4*t^7.57)/g1^3 + (4*t^7.663)/g1^7 + (2*t^7.757)/g1^11 + (3*t^7.85)/g1^15 + t^7.944/g1^19 + g1^30*t^8.3 + g1^26*t^8.393 + g1^22*t^8.486 + 3*g1^18*t^8.58 + 3*g1^14*t^8.673 - g1^10*t^8.767 + g1^6*t^8.86 + 2*g1^2*t^8.953 - (g1*t^4.477)/y - (g1^11*t^7.243)/y + (g1^3*t^7.43)/y - t^7.523/(g1*y) + t^7.71/(g1^9*y) + (g1^16*t^8.626)/y + (4*g1^8*t^8.813)/y + (5*g1^4*t^8.907)/y - g1*t^4.477*y - g1^11*t^7.243*y + g1^3*t^7.43*y - (t^7.523*y)/g1 + (t^7.71*y)/g1^9 + g1^16*t^8.626*y + 4*g1^8*t^8.813*y + 5*g1^4*t^8.907*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 |
---|---|---|---|---|---|---|---|---|
50996 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.7012 | 0.8624 | 0.8131 | [M:[1.0226, 0.8868, 0.9321, 1.0679, 1.0226, 0.9321], q:[0.534, 0.4434], qb:[0.5793, 0.4887], phi:[0.4887]] | t^2.66 + 2*t^2.796 + 4*t^3.068 + t^4.126 + t^4.262 + 2*t^4.398 + 2*t^4.534 + 2*t^4.67 + t^4.806 + t^4.942 + t^5.321 + 2*t^5.457 + 2*t^5.592 + 2*t^5.728 + 5*t^5.864 - 4*t^6. - t^4.466/y - t^4.466*y | detail | |
55495 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}X_{1}$ | 0.6008 | 0.7354 | 0.817 | [X:[1.3846], M:[1.0769, 0.6154, 0.7692, 1.2308, 1.0769], q:[0.6154, 0.3077], qb:[0.7692, 0.4615], phi:[0.4615]] | t^2.308 + 5*t^3.231 + 2*t^3.692 + 3*t^4.154 + 2*t^4.615 + 3*t^5.538 - 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 1320/2197, c: 6463/8788, X1: 18/13, M1: 14/13, M2: 8/13, M3: 10/13, M4: 16/13, M5: 14/13, q1: 8/13, q2: 4/13, qb1: 10/13, qb2: 6/13, phi1: 6/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
46490 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6975 | 0.8554 | 0.8154 | [M:[1.018, 0.9098, 0.9459, 1.0541], q:[0.5271, 0.4549], qb:[0.5631, 0.491], phi:[0.491]] | t^2.729 + t^2.838 + t^2.946 + 3*t^3.054 + t^3.162 + t^4.202 + t^4.311 + 2*t^4.419 + 2*t^4.527 + 2*t^4.635 + t^4.743 + t^4.852 + t^5.459 + t^5.567 + t^5.675 + 2*t^5.784 + 2*t^5.892 - t^4.473/y - t^4.473*y | detail |