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 |
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6403 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{6}M_{7}$ + ${ }M_{7}M_{9}$ | 0.6583 | 0.8208 | 0.802 | [M:[0.8889, 0.7111, 0.7556, 0.8444, 1.1556, 0.7556, 1.2444, 1.2889, 0.7556], q:[0.7556, 0.3556], qb:[0.4889, 0.8], phi:[0.4]] | [M:[[2], [-2], [-1], [1], [-1], [-1], [1], [2], [-1]], q:[[-1], [-1]], qb:[[2], [0]], phi:[[0]]] | 1 | {a: 11849/18000, c: 7387/9000, M1: 8/9, M2: 32/45, M3: 34/45, M4: 38/45, M5: 52/45, M6: 34/45, M7: 56/45, M8: 58/45, M9: 34/45, q1: 34/45, q2: 16/45, qb1: 22/45, qb2: 4/5, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{9}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{9}$, ${ }M_{9}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{9}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{9}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{9}\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{9}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | 2*t^2.267 + t^2.4 + t^2.533 + t^2.667 + t^3.333 + t^3.467 + t^3.867 + t^4.133 + 4*t^4.533 + 3*t^4.667 + 2*t^4.8 + 4*t^4.933 + 2*t^5.067 + t^5.333 + t^5.6 + 4*t^5.733 + t^5.867 - 2*t^6. + 2*t^6.133 + t^6.4 + 2*t^6.533 + 2*t^6.667 + 6*t^6.8 + 5*t^6.933 + 3*t^7.067 + 5*t^7.2 + 5*t^7.333 + 2*t^7.467 + 3*t^7.6 + t^7.733 + 2*t^7.867 + 8*t^8. + 2*t^8.133 - 4*t^8.267 + t^8.4 - 2*t^8.533 - 3*t^8.667 + 3*t^8.8 + 3*t^8.933 - t^4.2/y - (2*t^6.467)/y - t^6.6/y - t^6.867/y + (2*t^7.533)/y + (2*t^7.667)/y + (3*t^7.8)/y + (5*t^7.933)/y + t^8.067/y + t^8.2/y + (2*t^8.6)/y - t^4.2*y - 2*t^6.467*y - t^6.6*y - t^6.867*y + 2*t^7.533*y + 2*t^7.667*y + 3*t^7.8*y + 5*t^7.933*y + t^8.067*y + t^8.2*y + 2*t^8.6*y | (2*t^2.267)/g1 + t^2.4 + g1*t^2.533 + g1^2*t^2.667 + t^3.333/g1^2 + t^3.467/g1 + g1^2*t^3.867 + g1^4*t^4.133 + (4*t^4.533)/g1^2 + (3*t^4.667)/g1 + 2*t^4.8 + 4*g1*t^4.933 + 2*g1^2*t^5.067 + g1^4*t^5.333 + t^5.6/g1^3 + (4*t^5.733)/g1^2 + t^5.867/g1 - 2*t^6. + 2*g1*t^6.133 + g1^3*t^6.4 + 2*g1^4*t^6.533 + t^6.667/g1^4 + g1^5*t^6.667 + (5*t^6.8)/g1^3 + g1^6*t^6.8 + (5*t^6.933)/g1^2 + (3*t^7.067)/g1 + 5*t^7.2 + 5*g1*t^7.333 + 2*g1^2*t^7.467 + 3*g1^3*t^7.6 + g1^4*t^7.733 + (2*t^7.867)/g1^4 + (6*t^8.)/g1^3 + 2*g1^6*t^8. + (2*t^8.133)/g1^2 - (5*t^8.267)/g1 + g1^8*t^8.267 + t^8.4 - 2*g1*t^8.533 - 3*g1^2*t^8.667 + 3*g1^3*t^8.8 + t^8.933/g1^5 + 2*g1^4*t^8.933 - t^4.2/y - (2*t^6.467)/(g1*y) - t^6.6/y - (g1^2*t^6.867)/y + (2*t^7.533)/(g1^2*y) + (2*t^7.667)/(g1*y) + (3*t^7.8)/y + (5*g1*t^7.933)/y + (g1^2*t^8.067)/y + (g1^3*t^8.2)/y + (2*t^8.6)/(g1^3*y) - t^4.2*y - (2*t^6.467*y)/g1 - t^6.6*y - g1^2*t^6.867*y + (2*t^7.533*y)/g1^2 + (2*t^7.667*y)/g1 + 3*t^7.8*y + 5*g1*t^7.933*y + g1^2*t^8.067*y + g1^3*t^8.2*y + (2*t^8.6*y)/g1^3 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4799 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{6}M_{7}$ | 0.6396 | 0.787 | 0.8126 | [M:[0.8811, 0.7189, 0.7595, 0.8405, 1.1595, 0.7595, 1.2405, 1.2811], q:[0.7595, 0.3595], qb:[0.4811, 0.8], phi:[0.4]] | t^2.278 + t^2.4 + t^2.522 + t^2.643 + t^3.357 + t^3.478 + t^3.722 + t^3.843 + t^4.087 + 2*t^4.557 + 2*t^4.678 + t^4.8 + 3*t^4.922 + 2*t^5.043 + t^5.287 + 3*t^5.757 + t^5.878 - t^6. - t^4.2/y - t^4.2*y | detail |