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 |
---|---|---|---|---|---|---|---|---|---|
55202 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ | 0.5941 | 0.7399 | 0.8029 | [M:[0.75, 0.9167, 1.25, 1.0, 0.8333], q:[0.7917, 0.4583], qb:[0.2917, 0.7917], phi:[0.4167]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1825/3072, c: 2273/3072, M1: 3/4, M2: 11/12, M3: 5/4, M4: 1, M5: 5/6, q1: 19/24, q2: 11/24, qb1: 7/24, qb2: 19/24, phi1: 5/12} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.75 + t^4. + t^4.5 + 3*t^4.75 + 4*t^5. + 3*t^5.25 + 3*t^5.5 + t^5.75 + t^6. + 4*t^6.25 + 3*t^6.5 + t^6.75 + t^7. + 3*t^7.25 + 8*t^7.5 + 7*t^7.75 + 4*t^8. + t^8.5 + 3*t^8.75 - t^4.25/y - (2*t^6.75)/y - t^7./y + t^7.5/y + (4*t^7.75)/y + (2*t^8.)/y + (3*t^8.25)/y + (3*t^8.5)/y + (3*t^8.75)/y - t^4.25*y - 2*t^6.75*y - t^7.*y + t^7.5*y + 4*t^7.75*y + 2*t^8.*y + 3*t^8.25*y + 3*t^8.5*y + 3*t^8.75*y | t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.75 + t^4. + t^4.5 + 3*t^4.75 + 4*t^5. + 3*t^5.25 + 3*t^5.5 + t^5.75 + t^6. + 4*t^6.25 + 3*t^6.5 + t^6.75 + t^7. + 3*t^7.25 + 8*t^7.5 + 7*t^7.75 + 4*t^8. + t^8.5 + 3*t^8.75 - t^4.25/y - (2*t^6.75)/y - t^7./y + t^7.5/y + (4*t^7.75)/y + (2*t^8.)/y + (3*t^8.25)/y + (3*t^8.5)/y + (3*t^8.75)/y - t^4.25*y - 2*t^6.75*y - t^7.*y + t^7.5*y + 4*t^7.75*y + 2*t^8.*y + 3*t^8.25*y + 3*t^8.5*y + 3*t^8.75*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 |
---|---|---|---|---|---|---|---|---|
56852 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{2}M_{6}$ | 0.5864 | 0.7271 | 0.8066 | [M:[0.75, 0.9167, 1.25, 1.0, 0.8333, 1.0833], q:[0.7917, 0.4583], qb:[0.2917, 0.7917], phi:[0.4167]] | t^2.25 + 2*t^2.5 + t^3. + 2*t^3.25 + 2*t^3.75 + t^4. + t^4.5 + 3*t^4.75 + 3*t^5. + t^5.25 + 3*t^5.5 + 2*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 1201/2048, c: 1489/2048, M1: 3/4, M2: 11/12, M3: 5/4, M4: 1, M5: 5/6, M6: 13/12, q1: 19/24, q2: 11/24, qb1: 7/24, qb2: 19/24, phi1: 5/12} |
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 |
---|---|---|---|---|---|---|---|---|---|
46860 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6548 | 0.8265 | 0.7923 | [M:[0.8275, 0.7357, 1.1725, 0.6898, 0.7816], q:[0.8046, 0.3679], qb:[0.4597, 0.8046], phi:[0.3908]] | t^2.069 + t^2.207 + 2*t^2.345 + t^2.483 + t^3.38 + 2*t^3.517 + t^3.793 + t^4.139 + t^4.277 + 3*t^4.414 + 3*t^4.552 + 4*t^4.69 + 3*t^4.828 + t^4.965 + t^5.449 + 3*t^5.587 + 3*t^5.725 + 4*t^5.862 - t^4.172/y - t^4.172*y | detail |