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 |
---|---|---|---|---|---|---|---|---|---|
56011 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6796 | 0.8597 | 0.7905 | [M:[1.0588, 0.7059, 0.8235, 1.1765, 0.7059], q:[0.5294, 0.4118], qb:[0.7647, 0.4118], phi:[0.4706]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 53421/78608, c: 33791/39304, M1: 18/17, M2: 12/17, M3: 14/17, M4: 20/17, M5: 12/17, q1: 9/17, q2: 7/17, qb1: 13/17, qb2: 7/17, phi1: 8/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 3 | 2*t^2.118 + t^2.471 + 2*t^2.824 + t^3.176 + 2*t^3.529 + 2*t^3.882 + 5*t^4.235 + 3*t^4.588 + 5*t^4.941 + 4*t^5.294 + 6*t^5.647 + 3*t^6. + 10*t^6.353 + 9*t^6.706 + 10*t^7.059 + 8*t^7.412 + 12*t^7.765 + 6*t^8.118 + 15*t^8.471 + 11*t^8.824 - t^4.412/y - (2*t^6.529)/y + t^7.235/y + (2*t^7.588)/y + (4*t^7.941)/y + (6*t^8.294)/y + (3*t^8.647)/y - t^4.412*y - 2*t^6.529*y + t^7.235*y + 2*t^7.588*y + 4*t^7.941*y + 6*t^8.294*y + 3*t^8.647*y | 2*t^2.118 + t^2.471 + 2*t^2.824 + t^3.176 + 2*t^3.529 + 2*t^3.882 + 5*t^4.235 + 3*t^4.588 + 5*t^4.941 + 4*t^5.294 + 6*t^5.647 + 3*t^6. + 10*t^6.353 + 9*t^6.706 + 10*t^7.059 + 8*t^7.412 + 12*t^7.765 + 6*t^8.118 + 15*t^8.471 + 11*t^8.824 - t^4.412/y - (2*t^6.529)/y + t^7.235/y + (2*t^7.588)/y + (4*t^7.941)/y + (6*t^8.294)/y + (3*t^8.647)/y - t^4.412*y - 2*t^6.529*y + t^7.235*y + 2*t^7.588*y + 4*t^7.941*y + 6*t^8.294*y + 3*t^8.647*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 |
---|---|---|---|---|---|---|---|---|
57891 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.685 | 0.8689 | 0.7884 | [M:[1.0588, 0.7059, 0.8235, 1.1765, 0.7059, 0.9412], q:[0.5294, 0.4118], qb:[0.7647, 0.4118], phi:[0.4706]] | 2*t^2.118 + t^2.471 + 3*t^2.824 + 2*t^3.529 + 2*t^3.882 + 5*t^4.235 + 3*t^4.588 + 7*t^4.941 + 3*t^5.294 + 8*t^5.647 + t^6. - t^4.412/y - t^4.412*y | detail | {a: 26925/39304, c: 17075/19652, M1: 18/17, M2: 12/17, M3: 14/17, M4: 20/17, M5: 12/17, M6: 16/17, q1: 9/17, q2: 7/17, qb1: 13/17, qb2: 7/17, phi1: 8/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
48485 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6809 | 0.8616 | 0.7903 | [M:[1.0544, 0.7282, 0.8369, 1.1631, 0.6903], q:[0.5082, 0.4374], qb:[0.7636, 0.3995], phi:[0.4728]] | t^2.071 + t^2.185 + t^2.511 + t^2.723 + t^2.837 + t^3.163 + t^3.489 + t^3.603 + t^3.815 + t^4.043 + 2*t^4.142 + 2*t^4.255 + t^4.369 + t^4.468 + t^4.582 + t^4.695 + t^4.794 + 2*t^4.908 + 2*t^5.022 + 2*t^5.234 + 2*t^5.348 + t^5.446 + 2*t^5.56 + 3*t^5.674 + t^5.886 - t^4.418/y - t^4.418*y | detail |