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 |
---|---|---|---|---|---|---|---|---|---|
243 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.5406 | 0.6835 | 0.791 | [M:[0.7143, 1.1429], q:[0.7857, 0.7857], qb:[0.5, 0.2143], phi:[0.4286]] | [M:[[0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2967/5488, c: 3751/5488, M1: 5/7, M2: 8/7, q1: 11/14, q2: 11/14, qb1: 1/2, qb2: 3/14, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 3 | 2*t^2.143 + t^2.571 + 2*t^3. + 2*t^3.429 + t^3.857 + 4*t^4.286 + 3*t^4.714 + 4*t^5.143 + 4*t^5.571 + 3*t^6. + 6*t^6.429 + 5*t^6.857 + 6*t^7.286 + 6*t^7.714 + 3*t^8.143 + 6*t^8.571 - t^4.286/y - t^6.429/y + t^7.286/y + (2*t^7.714)/y + (5*t^8.143)/y + (5*t^8.571)/y - t^4.286*y - t^6.429*y + t^7.286*y + 2*t^7.714*y + 5*t^8.143*y + 5*t^8.571*y | 2*t^2.143 + t^2.571 + 2*t^3. + 2*t^3.429 + t^3.857 + 4*t^4.286 + 3*t^4.714 + 4*t^5.143 + 4*t^5.571 + 3*t^6. + 6*t^6.429 + 5*t^6.857 + 6*t^7.286 + 6*t^7.714 + 3*t^8.143 + 6*t^8.571 - t^4.286/y - t^6.429/y + t^7.286/y + (2*t^7.714)/y + (5*t^8.143)/y + (5*t^8.571)/y - t^4.286*y - t^6.429*y + t^7.286*y + 2*t^7.714*y + 5*t^8.143*y + 5*t^8.571*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 |
---|---|---|---|---|---|---|---|---|
386 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.5204 | 0.6454 | 0.8063 | [M:[0.7143, 1.1429, 1.2857], q:[0.7857, 0.7857], qb:[0.5, 0.2143], phi:[0.4286]] | t^2.143 + t^2.571 + 2*t^3. + 2*t^3.429 + 2*t^3.857 + 2*t^4.286 + 2*t^4.714 + 2*t^5.143 + 2*t^5.571 + 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 51/98, c: 253/392, M1: 5/7, M2: 8/7, M3: 9/7, q1: 11/14, q2: 11/14, qb1: 1/2, qb2: 3/14, phi1: 3/7} |
1762 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 0.5609 | 0.7216 | 0.7773 | [M:[0.7143, 1.1429, 0.7143], q:[0.7857, 0.7857], qb:[0.5, 0.2143], phi:[0.4286]] | 3*t^2.143 + t^2.571 + 2*t^3. + 2*t^3.429 + 7*t^4.286 + 4*t^4.714 + 6*t^5.143 + 6*t^5.571 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 1539/2744, c: 495/686, M1: 5/7, M2: 8/7, M3: 5/7, q1: 11/14, q2: 11/14, qb1: 1/2, qb2: 3/14, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
149 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.5422 | 0.6869 | 0.7893 | [M:[0.7543, 1.1229], q:[0.7807, 0.7807], qb:[0.465, 0.2193], phi:[0.4386]] | t^2.053 + t^2.263 + t^2.631 + 2*t^3. + 2*t^3.369 + t^3.737 + 2*t^4.106 + t^4.316 + t^4.526 + 2*t^4.684 + t^4.894 + 2*t^5.053 + 2*t^5.263 + 2*t^5.421 + 2*t^5.631 + t^5.79 + 2*t^6. - t^4.316/y - t^4.316*y | detail |