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 |
---|---|---|---|---|---|---|---|---|---|
57586 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.7078 | 0.9082 | 0.7793 | [M:[1.2, 0.9549, 0.8, 0.8516, 0.6967, 0.8, 0.7484], q:[0.4258, 0.3742], qb:[0.6193, 0.7742], phi:[0.4516]] | [M:[[0], [-6], [0], [-2], [4], [0], [2]], q:[[-1], [1]], qb:[[7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{5}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{5}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -1 | t^2.09 + t^2.245 + 2*t^2.4 + t^2.555 + t^2.71 + t^2.865 + t^2.98 + t^3.6 + 2*t^4.18 + 2*t^4.335 + 4*t^4.49 + 3*t^4.645 + 5*t^4.8 + 4*t^4.955 + 2*t^5.071 + 4*t^5.11 + t^5.226 + 2*t^5.265 + 2*t^5.38 + t^5.42 + t^5.535 + t^5.574 + 2*t^5.69 + t^5.729 + t^5.845 + t^5.961 - t^6. - t^6.155 + 2*t^6.271 + 3*t^6.426 + 6*t^6.58 - t^6.62 + 6*t^6.735 - t^6.774 + 8*t^6.89 + 9*t^7.045 + 3*t^7.161 + 10*t^7.2 + 3*t^7.316 + 7*t^7.355 + 5*t^7.471 + 6*t^7.51 + 3*t^7.626 + 6*t^7.665 + 6*t^7.78 + 4*t^7.82 + 3*t^7.935 + 3*t^7.974 + 2*t^8.051 + 2*t^8.129 + t^8.206 - 4*t^8.245 + 2*t^8.284 + 4*t^8.361 - 4*t^8.4 + t^8.439 + 4*t^8.516 - 5*t^8.555 + t^8.594 + 9*t^8.671 - 5*t^8.71 + 7*t^8.826 - 6*t^8.865 + t^8.941 + 9*t^8.98 - t^4.355/y - t^6.445/y - t^6.6/y - t^6.755/y - t^6.91/y - t^7.065/y - t^7.22/y + t^7.335/y + (3*t^7.49)/y + (4*t^7.645)/y + (4*t^7.8)/y + (5*t^7.955)/y + t^8.071/y + (4*t^8.11)/y + t^8.226/y + (4*t^8.265)/y + (2*t^8.38)/y + t^8.42/y + t^8.574/y + t^8.69/y - t^4.355*y - t^6.445*y - t^6.6*y - t^6.755*y - t^6.91*y - t^7.065*y - t^7.22*y + t^7.335*y + 3*t^7.49*y + 4*t^7.645*y + 4*t^7.8*y + 5*t^7.955*y + t^8.071*y + 4*t^8.11*y + t^8.226*y + 4*t^8.265*y + 2*t^8.38*y + t^8.42*y + t^8.574*y + t^8.69*y | g1^4*t^2.09 + g1^2*t^2.245 + 2*t^2.4 + t^2.555/g1^2 + t^2.71/g1^4 + t^2.865/g1^6 + g1^8*t^2.98 + t^3.6 + 2*g1^8*t^4.18 + 2*g1^6*t^4.335 + 4*g1^4*t^4.49 + 3*g1^2*t^4.645 + 5*t^4.8 + (4*t^4.955)/g1^2 + 2*g1^12*t^5.071 + (4*t^5.11)/g1^4 + g1^10*t^5.226 + (2*t^5.265)/g1^6 + 2*g1^8*t^5.38 + t^5.42/g1^8 + g1^6*t^5.535 + t^5.574/g1^10 + 2*g1^4*t^5.69 + t^5.729/g1^12 + g1^2*t^5.845 + g1^16*t^5.961 - t^6. - t^6.155/g1^2 + 2*g1^12*t^6.271 + 3*g1^10*t^6.426 + 6*g1^8*t^6.58 - t^6.62/g1^8 + 6*g1^6*t^6.735 - t^6.774/g1^10 + 8*g1^4*t^6.89 + 9*g1^2*t^7.045 + 3*g1^16*t^7.161 + 10*t^7.2 + 3*g1^14*t^7.316 + (7*t^7.355)/g1^2 + 5*g1^12*t^7.471 + (6*t^7.51)/g1^4 + 3*g1^10*t^7.626 + (6*t^7.665)/g1^6 + 6*g1^8*t^7.78 + (4*t^7.82)/g1^8 + 3*g1^6*t^7.935 + (3*t^7.974)/g1^10 + 2*g1^20*t^8.051 + (2*t^8.129)/g1^12 + g1^18*t^8.206 - 4*g1^2*t^8.245 + (2*t^8.284)/g1^14 + 4*g1^16*t^8.361 - 4*t^8.4 + t^8.439/g1^16 + 4*g1^14*t^8.516 - (5*t^8.555)/g1^2 + t^8.594/g1^18 + 9*g1^12*t^8.671 - (5*t^8.71)/g1^4 + 7*g1^10*t^8.826 - (6*t^8.865)/g1^6 + g1^24*t^8.941 + 9*g1^8*t^8.98 - t^4.355/(g1^2*y) - (g1^2*t^6.445)/y - t^6.6/y - t^6.755/(g1^2*y) - t^6.91/(g1^4*y) - t^7.065/(g1^6*y) - t^7.22/(g1^8*y) + (g1^6*t^7.335)/y + (3*g1^4*t^7.49)/y + (4*g1^2*t^7.645)/y + (4*t^7.8)/y + (5*t^7.955)/(g1^2*y) + (g1^12*t^8.071)/y + (4*t^8.11)/(g1^4*y) + (g1^10*t^8.226)/y + (4*t^8.265)/(g1^6*y) + (2*g1^8*t^8.38)/y + t^8.42/(g1^8*y) + t^8.574/(g1^10*y) + (g1^4*t^8.69)/y - (t^4.355*y)/g1^2 - g1^2*t^6.445*y - t^6.6*y - (t^6.755*y)/g1^2 - (t^6.91*y)/g1^4 - (t^7.065*y)/g1^6 - (t^7.22*y)/g1^8 + g1^6*t^7.335*y + 3*g1^4*t^7.49*y + 4*g1^2*t^7.645*y + 4*t^7.8*y + (5*t^7.955*y)/g1^2 + g1^12*t^8.071*y + (4*t^8.11*y)/g1^4 + g1^10*t^8.226*y + (4*t^8.265*y)/g1^6 + 2*g1^8*t^8.38*y + (t^8.42*y)/g1^8 + (t^8.574*y)/g1^10 + g1^4*t^8.69*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 |
---|---|---|---|---|---|---|---|---|
58933 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.7078 | 0.9078 | 0.7797 | [M:[1.2, 0.95, 0.8, 0.85, 0.7, 0.8, 0.75], q:[0.425, 0.375], qb:[0.625, 0.775], phi:[0.45]] | t^2.1 + t^2.25 + 2*t^2.4 + t^2.55 + t^2.7 + t^2.85 + t^3. + t^3.6 + 2*t^4.2 + 2*t^4.35 + 4*t^4.5 + 3*t^4.65 + 5*t^4.8 + 4*t^4.95 + 6*t^5.1 + 3*t^5.25 + 3*t^5.4 + 2*t^5.55 + 3*t^5.7 + t^5.85 - t^4.35/y - t^4.35*y | detail | {a: 453/640, c: 581/640, M1: 6/5, M2: 19/20, M3: 4/5, M4: 17/20, M5: 7/10, M6: 4/5, M7: 3/4, q1: 17/40, q2: 3/8, qb1: 5/8, qb2: 31/40, phi1: 9/20} |
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 |
---|---|---|---|---|---|---|---|---|---|
55917 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6888 | 0.8731 | 0.7889 | [M:[1.2, 0.9495, 0.8, 0.8498, 0.7003, 0.8], q:[0.4249, 0.3751], qb:[0.6255, 0.7751], phi:[0.4498]] | t^2.101 + 2*t^2.4 + t^2.55 + t^2.699 + t^2.849 + t^3.002 + t^3.6 + t^3.75 + 2*t^4.202 + t^4.351 + 3*t^4.501 + t^4.65 + 4*t^4.8 + 3*t^4.95 + 3*t^5.099 + 2*t^5.103 + 2*t^5.249 + t^5.398 + 2*t^5.402 + t^5.548 + t^5.551 + t^5.697 + 2*t^5.701 + t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail |