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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5582 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{9}q_{1}q_{2}$ | 0.758 | 0.985 | 0.7695 | [M:[0.9746, 1.1224, 0.9746, 0.6836, 0.8776, 0.7806, 0.6836, 0.6836, 0.7806], q:[0.7806, 0.4388], qb:[0.5866, 0.4388], phi:[0.4388]] | [M:[[9], [-4], [9], [-6], [4], [-1], [-6], [-6], [-1]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{9}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{4}M_{9}$, ${ }M_{7}M_{9}$, ${ }M_{8}M_{9}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{6}M_{9}$, ${ }M_{9}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{8}$, ${ }M_{5}M_{9}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{9}$, ${ }M_{3}M_{9}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}$ | -5 | 3*t^2.051 + 2*t^2.342 + 2*t^2.633 + 2*t^2.924 + 7*t^4.102 + 8*t^4.393 + 9*t^4.684 + t^4.836 + 10*t^4.975 + 7*t^5.266 + 2*t^5.557 + 3*t^5.848 - 5*t^6. + 13*t^6.152 - 2*t^6.291 + 18*t^6.443 - t^6.582 + 25*t^6.734 - 2*t^6.873 + 3*t^6.887 + 30*t^7.025 + 2*t^7.178 + 24*t^7.316 + t^7.469 + 16*t^7.607 - 2*t^7.76 + 16*t^7.898 - 19*t^8.051 + 8*t^8.189 + 21*t^8.203 - 20*t^8.342 + 3*t^8.48 + 32*t^8.494 - 17*t^8.633 + 4*t^8.771 + 48*t^8.785 - 20*t^8.924 + 7*t^8.938 - t^4.316/y - (3*t^6.367)/y - (2*t^6.658)/y - t^6.949/y + (3*t^7.102)/y - (2*t^7.24)/y + (8*t^7.393)/y + (8*t^7.684)/y + (12*t^7.975)/y + (8*t^8.266)/y - (6*t^8.418)/y + (4*t^8.557)/y - (6*t^8.709)/y + t^8.848/y - t^4.316*y - 3*t^6.367*y - 2*t^6.658*y - t^6.949*y + 3*t^7.102*y - 2*t^7.24*y + 8*t^7.393*y + 8*t^7.684*y + 12*t^7.975*y + 8*t^8.266*y - 6*t^8.418*y + 4*t^8.557*y - 6*t^8.709*y + t^8.848*y | (3*t^2.051)/g1^6 + (2*t^2.342)/g1 + 2*g1^4*t^2.633 + 2*g1^9*t^2.924 + (7*t^4.102)/g1^12 + (8*t^4.393)/g1^7 + (9*t^4.684)/g1^2 + t^4.836/g1^20 + 10*g1^3*t^4.975 + 7*g1^8*t^5.266 + 2*g1^13*t^5.557 + 3*g1^18*t^5.848 - 5*t^6. + (13*t^6.152)/g1^18 - 2*g1^5*t^6.291 + (18*t^6.443)/g1^13 - g1^10*t^6.582 + (25*t^6.734)/g1^8 - 2*g1^15*t^6.873 + (3*t^6.887)/g1^26 + (30*t^7.025)/g1^3 + (2*t^7.178)/g1^21 + 24*g1^2*t^7.316 + t^7.469/g1^16 + 16*g1^7*t^7.607 - (2*t^7.76)/g1^11 + 16*g1^12*t^7.898 - (19*t^8.051)/g1^6 + 8*g1^17*t^8.189 + (21*t^8.203)/g1^24 - (20*t^8.342)/g1 + 3*g1^22*t^8.48 + (32*t^8.494)/g1^19 - 17*g1^4*t^8.633 + 4*g1^27*t^8.771 + (48*t^8.785)/g1^14 - 20*g1^9*t^8.924 + (7*t^8.938)/g1^32 - (g1^2*t^4.316)/y - (3*t^6.367)/(g1^4*y) - (2*g1*t^6.658)/y - (g1^6*t^6.949)/y + (3*t^7.102)/(g1^12*y) - (2*g1^11*t^7.24)/y + (8*t^7.393)/(g1^7*y) + (8*t^7.684)/(g1^2*y) + (12*g1^3*t^7.975)/y + (8*g1^8*t^8.266)/y - (6*t^8.418)/(g1^10*y) + (4*g1^13*t^8.557)/y - (6*t^8.709)/(g1^5*y) + (g1^18*t^8.848)/y - g1^2*t^4.316*y - (3*t^6.367*y)/g1^4 - 2*g1*t^6.658*y - g1^6*t^6.949*y + (3*t^7.102*y)/g1^12 - 2*g1^11*t^7.24*y + (8*t^7.393*y)/g1^7 + (8*t^7.684*y)/g1^2 + 12*g1^3*t^7.975*y + 8*g1^8*t^8.266*y - (6*t^8.418*y)/g1^10 + 4*g1^13*t^8.557*y - (6*t^8.709*y)/g1^5 + g1^18*t^8.848*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4035 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7404 | 0.9536 | 0.7764 | [M:[0.9728, 1.1232, 0.9728, 0.6848, 0.8768, 0.7808, 0.6848, 0.6848], q:[0.7808, 0.4384], qb:[0.5888, 0.4384], phi:[0.4384]] | 3*t^2.054 + t^2.342 + 2*t^2.63 + 2*t^2.918 + t^3.658 + 7*t^4.109 + 5*t^4.397 + 7*t^4.685 + t^4.848 + 8*t^4.973 + 5*t^5.261 + 2*t^5.549 + 3*t^5.712 + 3*t^5.837 - 4*t^6. - t^4.315/y - t^4.315*y | detail | {a: 1173671/1585176, c: 755813/792588, M1: 250/257, M2: 866/771, M3: 250/257, M4: 176/257, M5: 676/771, M6: 602/771, M7: 176/257, M8: 176/257, q1: 602/771, q2: 338/771, qb1: 454/771, qb2: 338/771, phi1: 338/771} |