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 |
---|---|---|---|---|---|---|---|---|---|
46587 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.5664 | 0.6971 | 0.8125 | [M:[0.7273, 0.9091, 1.0909], q:[0.8182, 0.8182], qb:[0.2727, 0.6364], phi:[0.3636]] | [M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 12063/21296, c: 7423/10648, M1: 8/11, M2: 10/11, M3: 12/11, q1: 9/11, q2: 9/11, qb1: 3/11, qb2: 7/11, phi1: 4/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 2*t^2.182 + 2*t^2.727 + 2*t^3.273 + 5*t^4.364 + 5*t^4.909 + 5*t^5.455 + 6*t^6.545 + 7*t^7.091 + 8*t^7.636 - t^8.182 + 5*t^8.727 - t^4.091/y - (2*t^6.273)/y + t^7.364/y + (6*t^7.909)/y + (2*t^8.455)/y - t^4.091*y - 2*t^6.273*y + t^7.364*y + 6*t^7.909*y + 2*t^8.455*y | 2*t^2.182 + 2*t^2.727 + 2*t^3.273 + 5*t^4.364 + 5*t^4.909 + 5*t^5.455 + 6*t^6.545 + 7*t^7.091 + 8*t^7.636 - t^8.182 + 5*t^8.727 - t^4.091/y - (2*t^6.273)/y + t^7.364/y + (6*t^7.909)/y + (2*t^8.455)/y - t^4.091*y - 2*t^6.273*y + t^7.364*y + 6*t^7.909*y + 2*t^8.455*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 |
---|---|---|---|---|---|---|---|---|
48212 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ | 0.5748 | 0.7111 | 0.8082 | [M:[0.7273, 0.9091, 1.0909, 0.9091], q:[0.8182, 0.8182], qb:[0.2727, 0.6364], phi:[0.3636]] | 2*t^2.182 + 3*t^2.727 + t^3.273 + 5*t^4.364 + 7*t^4.909 + 6*t^5.455 - t^6. - t^4.091/y - t^4.091*y | detail | {a: 765/1331, c: 1893/2662, M1: 8/11, M2: 10/11, M3: 12/11, M4: 10/11, q1: 9/11, q2: 9/11, qb1: 3/11, qb2: 7/11, phi1: 4/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
46297 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.5775 | 0.715 | 0.8077 | [M:[0.8, 0.9333, 1.0667], q:[0.8, 0.8], qb:[0.2667, 0.5333], phi:[0.4]] | 3*t^2.4 + t^2.8 + 2*t^3.2 + 2*t^4. + t^4.4 + 7*t^4.8 + 2*t^5.2 + 5*t^5.6 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 231/400, c: 143/200, M1: 4/5, M2: 14/15, M3: 16/15, q1: 4/5, q2: 4/5, qb1: 4/15, qb2: 8/15, phi1: 2/5} |