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 |
---|---|---|---|---|---|---|---|---|---|
46440 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.6363 | 0.7702 | 0.8261 | [X:[1.4286], M:[0.5714, 1.1429, 0.8571], 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: 873/1372, c: 4227/5488, X1: 10/7, M1: 4/7, M2: 8/7, M3: 6/7, 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 |
---|---|---|---|---|
${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}M_{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 3 | 2*t^2.571 + t^3. + 3*t^3.429 + 2*t^3.857 + 3*t^4.286 + t^4.714 + 3*t^5.143 + 3*t^6. + 2*t^6.429 + 6*t^6.857 + 5*t^7.286 + 9*t^7.714 + 3*t^8.143 + 4*t^8.571 - t^4.286/y - t^6.857/y + t^7.714/y + t^8.143/y + (2*t^8.571)/y - t^4.286*y - t^6.857*y + t^7.714*y + t^8.143*y + 2*t^8.571*y | 2*t^2.571 + t^3. + 3*t^3.429 + 2*t^3.857 + 3*t^4.286 + t^4.714 + 3*t^5.143 + 3*t^6. + 2*t^6.429 + 6*t^6.857 + 5*t^7.286 + 9*t^7.714 + 3*t^8.143 + 4*t^8.571 - t^4.286/y - t^6.857/y + t^7.714/y + t^8.143/y + (2*t^8.571)/y - t^4.286*y - t^6.857*y + t^7.714*y + t^8.143*y + 2*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 |
---|---|---|---|---|---|---|---|---|
46906 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6489 | 0.7917 | 0.8196 | [X:[1.4286], M:[0.5714, 1.1429, 0.8571, 0.8571], q:[0.7857, 0.6429], qb:[0.3571, 0.5], phi:[0.4286]] | 3*t^2.571 + t^3. + 2*t^3.429 + 2*t^3.857 + 3*t^4.286 + t^4.714 + 6*t^5.143 + t^5.571 + 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 3561/5488, c: 4345/5488, X1: 10/7, M1: 4/7, M2: 8/7, M3: 6/7, M4: 6/7, 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 |
---|---|---|---|---|---|---|---|---|---|
46216 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.6804 | 0.8399 | 0.81 | [M:[0.6836, 1.1055, 0.8945], q:[0.7764, 0.5401], qb:[0.4599, 0.4346], phi:[0.4473]] | t^2.051 + 2*t^2.684 + t^2.924 + t^3. + t^3.633 + t^3.709 + t^3.949 + t^4.025 + 2*t^4.101 + t^4.266 + t^4.342 + t^4.582 + 2*t^4.734 + t^4.975 + t^5.051 + 3*t^5.367 + 2*t^5.608 + 2*t^5.684 + t^5.848 - t^6. - t^4.342/y - t^4.342*y | detail |