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 |
---|---|---|---|---|---|---|---|---|---|
56935 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6967 | 0.8748 | 0.7964 | [M:[1.0944, 0.7167, 0.7167, 1.0944, 0.9056, 0.9056, 0.9806], q:[0.5097, 0.3959], qb:[0.7736, 0.5097], phi:[0.4528]] | [M:[[4], [-12], [-12], [4], [-4], [-4], [-22]], q:[[11], [-15]], qb:[[1], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$ | ${}$ | -5 | 2*t^2.15 + 3*t^2.717 + t^2.942 + t^3.508 + t^3.734 + 2*t^4.075 + 3*t^4.3 + 3*t^4.417 + 6*t^4.867 + 2*t^5.092 + 6*t^5.433 + 3*t^5.659 + 3*t^5.884 - 5*t^6. + 6*t^6.225 - 2*t^6.341 + 8*t^6.45 + 3*t^6.567 + t^6.675 + 3*t^6.792 + 9*t^7.017 + 6*t^7.133 + 4*t^7.242 - 3*t^7.358 + t^7.467 + 12*t^7.583 - 5*t^7.7 + 7*t^7.809 - t^7.925 + 5*t^8.034 + 2*t^8.15 - 2*t^8.266 + 10*t^8.375 - 2*t^8.492 + 14*t^8.6 - 12*t^8.717 + 3*t^8.826 + 5*t^8.833 + 7*t^8.942 - t^4.358/y - (2*t^6.508)/y - t^7.075/y + t^7.417/y + t^7.642/y + (6*t^7.867)/y + (2*t^8.092)/y + (2*t^8.208)/y + (3*t^8.433)/y + (2*t^8.659)/y + (2*t^8.884)/y - t^4.358*y - 2*t^6.508*y - t^7.075*y + t^7.417*y + t^7.642*y + 6*t^7.867*y + 2*t^8.092*y + 2*t^8.208*y + 3*t^8.433*y + 2*t^8.659*y + 2*t^8.884*y | (2*t^2.15)/g1^12 + (3*t^2.717)/g1^4 + t^2.942/g1^22 + t^3.508/g1^14 + t^3.734/g1^32 + (2*t^4.075)/g1^6 + (3*t^4.3)/g1^24 + 3*g1^20*t^4.417 + (6*t^4.867)/g1^16 + (2*t^5.092)/g1^34 + (6*t^5.433)/g1^8 + (3*t^5.659)/g1^26 + (3*t^5.884)/g1^44 - 5*t^6. + (6*t^6.225)/g1^18 - 2*g1^26*t^6.341 + (8*t^6.45)/g1^36 + 3*g1^8*t^6.567 + t^6.675/g1^54 + (3*t^6.792)/g1^10 + (9*t^7.017)/g1^28 + 6*g1^16*t^7.133 + (4*t^7.242)/g1^46 - (3*t^7.358)/g1^2 + t^7.467/g1^64 + (12*t^7.583)/g1^20 - 5*g1^24*t^7.7 + (7*t^7.809)/g1^38 - g1^6*t^7.925 + (5*t^8.034)/g1^56 + (2*t^8.15)/g1^12 - 2*g1^32*t^8.266 + (10*t^8.375)/g1^30 - 2*g1^14*t^8.492 + (14*t^8.6)/g1^48 - (12*t^8.717)/g1^4 + (3*t^8.826)/g1^66 + 5*g1^40*t^8.833 + (7*t^8.942)/g1^22 - t^4.358/(g1^2*y) - (2*t^6.508)/(g1^14*y) - t^7.075/(g1^6*y) + (g1^20*t^7.417)/y + (g1^2*t^7.642)/y + (6*t^7.867)/(g1^16*y) + (2*t^8.092)/(g1^34*y) + (2*g1^10*t^8.208)/y + (3*t^8.433)/(g1^8*y) + (2*t^8.659)/(g1^26*y) + (2*t^8.884)/(g1^44*y) - (t^4.358*y)/g1^2 - (2*t^6.508*y)/g1^14 - (t^7.075*y)/g1^6 + g1^20*t^7.417*y + g1^2*t^7.642*y + (6*t^7.867*y)/g1^16 + (2*t^8.092*y)/g1^34 + 2*g1^10*t^8.208*y + (3*t^8.433*y)/g1^8 + (2*t^8.659*y)/g1^26 + (2*t^8.884*y)/g1^44 |
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 |
---|---|---|---|---|---|---|---|---|
58813 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ | 0.6873 | 0.8555 | 0.8033 | [M:[1.0769, 0.7692, 0.7692, 1.0769, 0.9231, 0.9231, 1.0769], q:[0.4615, 0.4615], qb:[0.7692, 0.4615], phi:[0.4615]] | 2*t^2.308 + 3*t^2.769 + t^3.231 + t^3.692 + 6*t^4.154 + 3*t^4.615 + 6*t^5.077 + 8*t^5.538 - 4*t^6. - t^4.385/y - t^4.385*y | detail | {a: 24159/35152, c: 15037/17576, M1: 14/13, M2: 10/13, M3: 10/13, M4: 14/13, M5: 12/13, M6: 12/13, M7: 14/13, q1: 6/13, q2: 6/13, qb1: 10/13, qb2: 6/13, phi1: 6/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
55277 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{6}$ | 0.697 | 0.8721 | 0.7992 | [M:[1.0862, 0.7414, 0.7414, 1.0862, 0.9138, 0.9138], q:[0.4871, 0.4267], qb:[0.7716, 0.4871], phi:[0.4569]] | 2*t^2.224 + 3*t^2.741 + t^2.923 + t^3.595 + t^3.931 + 2*t^4.112 + 3*t^4.293 + 3*t^4.448 + 6*t^4.965 + 2*t^5.147 + 6*t^5.483 + 3*t^5.664 + t^5.845 - 5*t^6. - t^4.371/y - t^4.371*y | detail |