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 |
---|---|---|---|---|---|---|---|---|---|
46794 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.5498 | 0.6748 | 0.8147 | [M:[0.9, 1.1, 1.0], q:[0.6, 0.5], qb:[0.3, 1.0], phi:[0.4]] | [M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2199/4000, c: 2699/4000, M1: 9/10, M2: 11/10, M3: 1, q1: 3/5, q2: 1/2, qb1: 3/10, qb2: 1, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 1 | 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + t^3.9 + t^4.2 + t^4.5 + 4*t^4.8 + t^5.1 + 2*t^5.4 + 2*t^5.7 + t^6. + t^6.3 + 2*t^6.6 + 2*t^6.9 + 5*t^7.2 + 2*t^7.5 + 3*t^7.8 + 2*t^8.1 + t^8.4 + t^8.7 - t^4.2/y - t^6.6/y + (2*t^7.8)/y + (2*t^8.1)/y + (2*t^8.4)/y + (3*t^8.7)/y - t^4.2*y - t^6.6*y + 2*t^7.8*y + 2*t^8.1*y + 2*t^8.4*y + 3*t^8.7*y | 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + t^3.9 + t^4.2 + t^4.5 + 4*t^4.8 + t^5.1 + 2*t^5.4 + 2*t^5.7 + t^6. + t^6.3 + 2*t^6.6 + 2*t^6.9 + 5*t^7.2 + 2*t^7.5 + 3*t^7.8 + 2*t^8.1 + t^8.4 + t^8.7 - t^4.2/y - t^6.6/y + (2*t^7.8)/y + (2*t^8.1)/y + (2*t^8.4)/y + (3*t^8.7)/y - t^4.2*y - t^6.6*y + 2*t^7.8*y + 2*t^8.1*y + 2*t^8.4*y + 3*t^8.7*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 |
---|---|---|---|---|---|---|---|---|
46975 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.5588 | 0.6901 | 0.8098 | [M:[0.9, 1.1, 1.0, 0.9], q:[0.6, 0.5], qb:[0.3, 1.0], phi:[0.4]] | 2*t^2.4 + 2*t^2.7 + t^3. + t^3.6 + t^3.9 + t^4.2 + t^4.5 + 4*t^4.8 + 3*t^5.1 + 4*t^5.4 + t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 17883/32000, c: 22083/32000, M1: 9/10, M2: 11/10, M3: 1, M4: 9/10, q1: 3/5, q2: 1/2, qb1: 3/10, qb2: 1, phi1: 2/5} |
48276 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.5663 | 0.7038 | 0.8046 | [M:[0.9, 1.1, 1.0, 0.8], q:[0.6, 0.5], qb:[0.3, 1.0], phi:[0.4]] | 3*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.9 + t^4.2 + t^4.5 + 7*t^4.8 + 2*t^5.1 + 3*t^5.4 + 3*t^5.7 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 453/800, c: 563/800, M1: 9/10, M2: 11/10, M3: 1, M4: 4/5, q1: 3/5, q2: 1/2, qb1: 3/10, qb2: 1, phi1: 2/5} |
47269 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.5333 | 0.6458 | 0.8258 | [M:[0.9, 1.1, 1.0, 1.2], q:[0.6, 0.5], qb:[0.3, 1.0], phi:[0.4]] | t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + t^3.9 + t^4.2 + t^4.5 + 2*t^4.8 + t^5.4 + t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 2133/4000, c: 2583/4000, M1: 9/10, M2: 11/10, M3: 1, M4: 6/5, q1: 3/5, q2: 1/2, qb1: 3/10, qb2: 1, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
46322 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.5526 | 0.6831 | 0.809 | [M:[0.9176, 1.0824, 1.0], q:[0.6264, 0.456], qb:[0.2912, 0.956], phi:[0.4176]] | t^2.242 + t^2.506 + t^2.753 + t^3. + t^3.247 + t^3.494 + t^3.742 + t^3.989 + t^4.236 + t^4.483 + 2*t^4.747 + t^4.994 + t^5.011 + t^5.242 + t^5.489 + t^5.506 + t^5.736 + t^5.753 + t^5.983 - t^4.253/y - t^4.253*y | detail |