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 |
---|---|---|---|---|---|---|---|---|---|
1679 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{6}$ | 0.5858 | 0.7171 | 0.817 | [M:[0.9, 1.2, 0.7, 0.8, 1.0, 1.3], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 18747/32000, c: 22947/32000, M1: 9/10, M2: 6/5, M3: 7/10, M4: 4/5, M5: 1, M6: 13/10, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}q_{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}q_{1}q_{2}$ | ${}\phi_{1}\tilde{q}_{1}^{2}$ | 1 | 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 2*t^3.9 + t^4.2 + 4*t^4.8 + 2*t^5.1 + 2*t^5.4 + t^5.7 + t^6. + 4*t^6.3 + 3*t^6.6 + 5*t^7.2 + 3*t^7.5 + 5*t^7.8 + 2*t^8.1 + 2*t^8.7 - t^4.2/y - t^6.6/y - t^6.9/y + t^7.5/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 - t^6.9*y + t^7.5*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 + 2*t^3.9 + t^4.2 + 4*t^4.8 + 2*t^5.1 + 2*t^5.4 + t^5.7 + t^6. + 4*t^6.3 + 3*t^6.6 + 5*t^7.2 + 3*t^7.5 + 5*t^7.8 + 2*t^8.1 + 2*t^8.7 - t^4.2/y - t^6.6/y - t^6.9/y + t^7.5/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 - t^6.9*y + t^7.5*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 |
---|---|---|---|---|---|---|---|---|
4068 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ | 0.5949 | 0.7324 | 0.8123 | [M:[0.9, 1.2, 0.7, 0.8, 1.0, 1.3, 0.9], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]] | 2*t^2.4 + 2*t^2.7 + t^3. + t^3.6 + 2*t^3.9 + t^4.2 + 4*t^4.8 + 4*t^5.1 + 4*t^5.4 - t^4.2/y - t^4.2*y | detail | {a: 9519/16000, c: 11719/16000, M1: 9/10, M2: 6/5, M3: 7/10, M4: 4/5, M5: 1, M6: 13/10, M7: 9/10, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, 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 |
---|---|---|---|---|---|---|---|---|---|
1080 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.6064 | 0.7564 | 0.8017 | [M:[0.9, 1.2, 0.7, 0.8, 1.0], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]] | t^2.1 + 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + t^3.9 + 2*t^4.2 + 2*t^4.5 + 5*t^4.8 + 3*t^5.1 + 3*t^5.4 + 2*t^5.7 + 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 4851/8000, c: 6051/8000, M1: 9/10, M2: 6/5, M3: 7/10, M4: 4/5, M5: 1, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, phi1: 2/5} |