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 |
---|---|---|---|---|---|---|---|---|---|
3655 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}q_{2}$ | 0.6563 | 0.8438 | 0.7778 | [M:[1.0833, 0.8333, 0.75, 0.9167, 0.9167], q:[0.75, 0.4167], qb:[0.5, 0.3333], phi:[0.5]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 21/32, c: 27/32, M1: 13/12, M2: 5/6, M3: 3/4, M4: 11/12, M5: 11/12, q1: 3/4, q2: 5/12, qb1: 1/2, qb2: 1/3, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{2}$ | ${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | 2*t^2.25 + 2*t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 4*t^4.75 + 7*t^5. + 6*t^5.25 + 4*t^5.5 + 2*t^5.75 + t^6. + 4*t^6.25 + 5*t^6.5 + 9*t^6.75 + 8*t^7. + 10*t^7.25 + 13*t^7.5 + 11*t^7.75 + 10*t^8. + 4*t^8.25 + 3*t^8.5 + t^8.75 - t^4.5/y - t^6.75/y - t^7./y - t^7.25/y + t^7.5/y + (5*t^7.75)/y + (6*t^8.)/y + (7*t^8.25)/y + (3*t^8.5)/y + (4*t^8.75)/y - t^4.5*y - t^6.75*y - t^7.*y - t^7.25*y + t^7.5*y + 5*t^7.75*y + 6*t^8.*y + 7*t^8.25*y + 3*t^8.5*y + 4*t^8.75*y | 2*t^2.25 + 2*t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 4*t^4.75 + 7*t^5. + 6*t^5.25 + 4*t^5.5 + 2*t^5.75 + t^6. + 4*t^6.25 + 5*t^6.5 + 9*t^6.75 + 8*t^7. + 10*t^7.25 + 13*t^7.5 + 11*t^7.75 + 10*t^8. + 4*t^8.25 + 3*t^8.5 + t^8.75 - t^4.5/y - t^6.75/y - t^7./y - t^7.25/y + t^7.5/y + (5*t^7.75)/y + (6*t^8.)/y + (7*t^8.25)/y + (3*t^8.5)/y + (4*t^8.75)/y - t^4.5*y - t^6.75*y - t^7.*y - t^7.25*y + t^7.5*y + 5*t^7.75*y + 6*t^8.*y + 7*t^8.25*y + 3*t^8.5*y + 4*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 |
---|---|---|---|---|---|---|---|---|
3929 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6706 | 0.8685 | 0.7721 | [M:[1.0833, 0.8333, 0.75, 0.9167, 0.9167, 0.8333], q:[0.75, 0.4167], qb:[0.5, 0.3333], phi:[0.5]] | 2*t^2.25 + 3*t^2.5 + 2*t^2.75 + t^3. + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 6*t^4.75 + 10*t^5. + 8*t^5.25 + 5*t^5.5 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 515/768, c: 667/768, M1: 13/12, M2: 5/6, M3: 3/4, M4: 11/12, M5: 11/12, M6: 5/6, q1: 3/4, q2: 5/12, qb1: 1/2, qb2: 1/3, phi1: 1/2} |
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 |
---|---|---|---|---|---|---|---|---|---|
3234 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6703 | 0.8704 | 0.7701 | [M:[1.1508, 0.6985, 0.75, 0.8492, 0.8492], q:[0.75, 0.3492], qb:[0.5, 0.4008], phi:[0.5]] | t^2.095 + 2*t^2.25 + 2*t^2.548 + t^2.702 + t^3. + t^3.298 + t^3.595 + t^3.75 + t^4.048 + t^4.191 + t^4.202 + 2*t^4.345 + 4*t^4.5 + 2*t^4.643 + 5*t^4.798 + 2*t^4.952 + 4*t^5.095 + 4*t^5.25 + t^5.393 + t^5.405 + 3*t^5.548 + t^5.691 + 4*t^5.845 - t^4.5/y - t^4.5*y | detail |