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 |
---|---|---|---|---|---|---|---|---|---|
1383 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.6942 | 0.85 | 0.8166 | [M:[0.9652, 1.0116, 1.0348, 0.942, 0.9652, 1.058], q:[0.4826, 0.5522], qb:[0.4826, 0.5058], phi:[0.4942]] | [M:[[-6], [2], [6], [-10], [-6], [10]], q:[[-3], [9]], qb:[[-3], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | 2*t^2.896 + 2*t^2.965 + t^3.035 + t^3.104 + t^3.174 + 3*t^4.378 + 2*t^4.448 + t^4.517 + 2*t^4.587 + t^4.657 + t^4.796 + t^5.791 + 3*t^5.861 + 3*t^5.93 - 2*t^6. + 2*t^6.07 + 2*t^6.139 + t^6.278 + t^6.348 + 4*t^7.274 + 7*t^7.343 + 3*t^7.413 + 2*t^7.483 + 4*t^7.552 + 2*t^7.622 + 2*t^7.691 + 3*t^7.761 + t^7.831 + t^7.9 + t^7.97 + t^8.687 + 6*t^8.756 + 6*t^8.826 - 2*t^8.896 - 2*t^8.965 - t^4.483/y - t^7.378/y + t^7.587/y + t^8.791/y + (4*t^8.861)/y + (3*t^8.93)/y - t^4.483*y - t^7.378*y + t^7.587*y + t^8.791*y + 4*t^8.861*y + 3*t^8.93*y | (2*t^2.896)/g1^6 + (2*t^2.965)/g1^2 + g1^2*t^3.035 + g1^6*t^3.104 + g1^10*t^3.174 + (3*t^4.378)/g1^7 + (2*t^4.448)/g1^3 + g1*t^4.517 + 2*g1^5*t^4.587 + g1^9*t^4.657 + g1^17*t^4.796 + t^5.791/g1^12 + (3*t^5.861)/g1^8 + (3*t^5.93)/g1^4 - 2*t^6. + 2*g1^4*t^6.07 + 2*g1^8*t^6.139 + g1^16*t^6.278 + g1^20*t^6.348 + (4*t^7.274)/g1^13 + (7*t^7.343)/g1^9 + (3*t^7.413)/g1^5 + (2*t^7.483)/g1 + 4*g1^3*t^7.552 + 2*g1^7*t^7.622 + 2*g1^11*t^7.691 + 3*g1^15*t^7.761 + g1^19*t^7.831 + g1^23*t^7.9 + g1^27*t^7.97 + t^8.687/g1^18 + (6*t^8.756)/g1^14 + (6*t^8.826)/g1^10 - (2*t^8.896)/g1^6 - (2*t^8.965)/g1^2 - t^4.483/(g1*y) - t^7.378/(g1^7*y) + (g1^5*t^7.587)/y + t^8.791/(g1^12*y) + (4*t^8.861)/(g1^8*y) + (3*t^8.93)/(g1^4*y) - (t^4.483*y)/g1 - (t^7.378*y)/g1^7 + g1^5*t^7.587*y + (t^8.791*y)/g1^12 + (4*t^8.861*y)/g1^8 + (3*t^8.93*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
2451 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6984 | 0.8575 | 0.8144 | [M:[0.9443, 1.0186, 1.0557, 0.9071, 0.9443, 1.0929, 0.9443], q:[0.4721, 0.5836], qb:[0.4721, 0.5093], phi:[0.4907]] | 3*t^2.833 + 2*t^2.944 + t^3.056 + t^3.279 + 3*t^4.305 + 2*t^4.416 + t^4.528 + 2*t^4.639 + t^4.751 + t^4.974 + 4*t^5.666 + 5*t^5.777 + 4*t^5.889 - 4*t^6. - t^4.472/y - t^4.472*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
899 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.702 | 0.8645 | 0.812 | [M:[0.933, 1.0223, 1.067, 0.8883, 0.933], q:[0.4665, 0.6005], qb:[0.4665, 0.5112], phi:[0.4888]] | t^2.665 + 2*t^2.799 + 2*t^2.933 + t^3.067 + t^3.201 + 3*t^4.265 + 2*t^4.399 + t^4.534 + 2*t^4.668 + t^4.802 + t^5.07 + t^5.33 + 2*t^5.464 + 3*t^5.598 + 4*t^5.732 + 4*t^5.866 - 2*t^6. - t^4.466/y - t^4.466*y | detail |