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 |
---|---|---|---|---|---|---|---|---|---|
50964 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6751 | 0.8593 | 0.7856 | [M:[0.7632, 0.8553, 1.1447, 0.7632, 0.7632, 0.671], q:[0.8553, 0.3816], qb:[0.7632, 0.4737], phi:[0.3816]] | [M:[[-2], [3], [-3], [-2], [-2], [-7]], q:[[3], [-1]], qb:[[-2], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | -2 | t^2.013 + 4*t^2.289 + t^2.566 + 2*t^3.434 + t^3.987 + t^4.026 + 4*t^4.303 + 11*t^4.579 + 5*t^4.855 + t^5.132 + 2*t^5.447 + 6*t^5.724 - 2*t^6. + t^6.039 + 2*t^6.276 + 4*t^6.316 + t^6.553 + 11*t^6.592 + 26*t^6.868 + 9*t^7.145 + 2*t^7.461 - t^7.697 + 6*t^7.737 + t^7.974 + 10*t^8.013 + t^8.053 - 11*t^8.289 + 4*t^8.329 - 4*t^8.566 + 11*t^8.605 + t^8.842 + 26*t^8.882 - t^4.145/y - t^6.158/y - (4*t^6.434)/y + (4*t^7.303)/y + (7*t^7.579)/y + (8*t^7.855)/y + t^8.132/y - t^8.171/y - (2*t^8.447)/y - (2*t^8.724)/y - t^4.145*y - t^6.158*y - 4*t^6.434*y + 4*t^7.303*y + 7*t^7.579*y + 8*t^7.855*y + t^8.132*y - t^8.171*y - 2*t^8.447*y - 2*t^8.724*y | t^2.013/g1^7 + (4*t^2.289)/g1^2 + g1^3*t^2.566 + (2*t^3.434)/g1^3 + g1^7*t^3.987 + t^4.026/g1^14 + (4*t^4.303)/g1^9 + (11*t^4.579)/g1^4 + 5*g1*t^4.855 + g1^6*t^5.132 + (2*t^5.447)/g1^10 + (6*t^5.724)/g1^5 - 2*t^6. + t^6.039/g1^21 + 2*g1^5*t^6.276 + (4*t^6.316)/g1^16 + g1^10*t^6.553 + (11*t^6.592)/g1^11 + (26*t^6.868)/g1^6 + (9*t^7.145)/g1 + (2*t^7.461)/g1^17 - g1^9*t^7.697 + (6*t^7.737)/g1^12 + g1^14*t^7.974 + (10*t^8.013)/g1^7 + t^8.053/g1^28 - (11*t^8.289)/g1^2 + (4*t^8.329)/g1^23 - 4*g1^3*t^8.566 + (11*t^8.605)/g1^18 + g1^8*t^8.842 + (26*t^8.882)/g1^13 - t^4.145/(g1*y) - t^6.158/(g1^8*y) - (4*t^6.434)/(g1^3*y) + (4*t^7.303)/(g1^9*y) + (7*t^7.579)/(g1^4*y) + (8*g1*t^7.855)/y + (g1^6*t^8.132)/y - t^8.171/(g1^15*y) - (2*t^8.447)/(g1^10*y) - (2*t^8.724)/(g1^5*y) - (t^4.145*y)/g1 - (t^6.158*y)/g1^8 - (4*t^6.434*y)/g1^3 + (4*t^7.303*y)/g1^9 + (7*t^7.579*y)/g1^4 + 8*g1*t^7.855*y + g1^6*t^8.132*y - (t^8.171*y)/g1^15 - (2*t^8.447*y)/g1^10 - (2*t^8.724*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
56267 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.6881 | 0.8804 | 0.7816 | [M:[0.7692, 0.8461, 1.1539, 0.7692, 0.7692, 0.6924, 0.8461], q:[0.8461, 0.3846], qb:[0.7692, 0.4615], phi:[0.3846]] | t^2.077 + 4*t^2.308 + 2*t^2.538 + t^3.462 + t^3.923 + t^4.154 + 4*t^4.385 + 12*t^4.615 + 9*t^4.846 + 3*t^5.077 + t^5.539 + 2*t^5.769 - 2*t^6. - t^4.154/y - t^4.154*y | detail | |
56265 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}^{2}$ | 0.6002 | 0.7609 | 0.7888 | [M:[0.8571, 0.7143, 1.2857, 0.8571, 0.8571, 1.0], q:[0.7143, 0.4286], qb:[0.8571, 0.2857], phi:[0.4286]] | t^2.143 + 4*t^2.571 + 2*t^3. + 2*t^3.857 + t^4.286 + 5*t^4.714 + 12*t^5.143 + 6*t^5.571 - t^4.286/y - t^4.286*y | detail | {a: 1647/2744, c: 261/343, M1: 6/7, M2: 5/7, M3: 9/7, M4: 6/7, M5: 6/7, M6: 1, q1: 5/7, q2: 3/7, qb1: 6/7, qb2: 2/7, 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 |
---|---|---|---|---|---|---|---|---|---|
48181 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6542 | 0.8179 | 0.7999 | [M:[0.7639, 0.8541, 1.1459, 0.7639, 0.7639], q:[0.8541, 0.382], qb:[0.7639, 0.4722], phi:[0.382]] | 4*t^2.292 + t^2.562 + 2*t^3.438 + 2*t^3.979 + 10*t^4.583 + 5*t^4.854 + t^5.125 + 6*t^5.729 - 3*t^6. - t^4.146/y - t^4.146*y | detail |