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 |
---|---|---|---|---|---|---|---|---|---|
904 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6959 | 0.8526 | 0.8162 | [M:[0.9533, 1.0156, 1.0467, 0.9222, 1.0156], q:[0.4922, 0.5545], qb:[0.4611, 0.5233], phi:[0.4922]] | [M:[[-6], [2], [6], [-10], [2]], q:[[-1], [7]], qb:[[-5], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$ | ${}$ | -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 | t^2.767/g1^10 + t^2.86/g1^6 + 4*g1^2*t^3.047 + g1^6*t^3.14 + t^4.243/g1^11 + t^4.337/g1^7 + (2*t^4.43)/g1^3 + 2*g1*t^4.523 + 2*g1^5*t^4.617 + g1^9*t^4.71 + g1^13*t^4.804 + t^5.533/g1^20 + t^5.626/g1^16 + (2*t^5.813)/g1^8 + (2*t^5.907)/g1^4 - 3*t^6. + 6*g1^4*t^6.093 + 2*g1^8*t^6.187 + t^7.01/g1^21 + (2*t^7.103)/g1^17 + (2*t^7.196)/g1^13 + (4*t^7.29)/g1^9 + (3*t^7.383)/g1^5 + (4*t^7.477)/g1 + 4*g1^3*t^7.57 + 4*g1^7*t^7.663 + 2*g1^11*t^7.757 + 3*g1^15*t^7.85 + g1^19*t^7.944 + t^8.3/g1^30 + t^8.393/g1^26 + t^8.486/g1^22 + (3*t^8.58)/g1^18 + (3*t^8.673)/g1^14 - t^8.767/g1^10 + t^8.86/g1^6 + (2*t^8.953)/g1^2 - t^4.477/(g1*y) - t^7.243/(g1^11*y) + t^7.43/(g1^3*y) - (g1*t^7.523)/y + (g1^9*t^7.71)/y + t^8.626/(g1^16*y) + (4*t^8.813)/(g1^8*y) + (5*t^8.907)/(g1^4*y) - (t^4.477*y)/g1 - (t^7.243*y)/g1^11 + (t^7.43*y)/g1^3 - g1*t^7.523*y + g1^9*t^7.71*y + (t^8.626*y)/g1^16 + (4*t^8.813*y)/g1^8 + (5*t^8.907*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
2080 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.6008 | 0.7354 | 0.817 | [X:[1.3846], M:[0.7692, 1.0769, 1.2308, 0.6154, 1.0769], q:[0.4615, 0.7692], qb:[0.3077, 0.6154], 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: 10/13, M2: 14/13, M3: 16/13, M4: 8/13, M5: 14/13, q1: 6/13, q2: 10/13, qb1: 4/13, qb2: 8/13, 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 |
---|---|---|---|---|---|---|---|---|---|
581 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 0.6975 | 0.8554 | 0.8154 | [M:[0.9459, 1.018, 1.0541, 0.9098], q:[0.491, 0.5631], qb:[0.4549, 0.5271], 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 |