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 |
---|---|---|---|---|---|---|---|---|---|
46757 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.644 | 0.7868 | 0.8184 | [X:[1.4286], M:[0.5714, 1.1429, 0.7143], q:[0.7857, 0.6429], qb:[0.3571, 0.5], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1767/2744, c: 2159/2744, X1: 10/7, M1: 4/7, M2: 8/7, M3: 5/7, q1: 11/14, q2: 9/14, qb1: 5/14, qb2: 1/2, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | t^2.143 + t^2.571 + t^3. + 4*t^3.429 + t^3.857 + 4*t^4.286 + 2*t^4.714 + 2*t^5.143 + 3*t^5.571 + 2*t^6. + 4*t^6.429 + 8*t^6.857 + 4*t^7.286 + 10*t^7.714 + 3*t^8.143 + 5*t^8.571 - t^4.286/y - t^6.429/y + t^7.714/y + (2*t^8.143)/y + (4*t^8.571)/y - t^4.286*y - t^6.429*y + t^7.714*y + 2*t^8.143*y + 4*t^8.571*y | t^2.143 + t^2.571 + t^3. + 4*t^3.429 + t^3.857 + 4*t^4.286 + 2*t^4.714 + 2*t^5.143 + 3*t^5.571 + 2*t^6. + 4*t^6.429 + 8*t^6.857 + 4*t^7.286 + 10*t^7.714 + 3*t^8.143 + 5*t^8.571 - t^4.286/y - t^6.429/y + t^7.714/y + (2*t^8.143)/y + (4*t^8.571)/y - t^4.286*y - t^6.429*y + t^7.714*y + 2*t^8.143*y + 4*t^8.571*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 |
---|---|---|---|---|---|---|---|---|
48180 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6642 | 0.8249 | 0.8052 | [X:[1.4286], M:[0.5714, 1.1429, 0.7143, 0.7143], q:[0.7857, 0.6429], qb:[0.3571, 0.5], phi:[0.4286]] | 2*t^2.143 + t^2.571 + t^3. + 4*t^3.429 + 6*t^4.286 + 3*t^4.714 + 3*t^5.143 + 7*t^5.571 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 3645/5488, c: 4527/5488, X1: 10/7, M1: 4/7, M2: 8/7, M3: 5/7, M4: 5/7, q1: 11/14, q2: 9/14, qb1: 5/14, qb2: 1/2, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
46181 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.688 | 0.8542 | 0.8054 | [M:[0.6814, 1.1062, 0.7876], q:[0.7766, 0.5421], qb:[0.4579, 0.4359], phi:[0.4469]] | t^2.044 + t^2.363 + t^2.681 + t^2.934 + t^3. + t^3.319 + t^3.703 + t^3.956 + t^4.022 + 2*t^4.088 + t^4.275 + t^4.341 + t^4.407 + t^4.593 + 2*t^4.725 + t^4.978 + 2*t^5.044 + t^5.297 + 3*t^5.363 + t^5.615 + t^5.681 + t^5.868 - t^4.341/y - t^4.341*y | detail |