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 |
---|---|---|---|---|---|---|---|---|---|
51267 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{6}$ | 0.6942 | 0.85 | 0.8166 | [M:[1.0348, 1.0116, 0.9652, 0.9652, 1.0116, 0.9884], q:[0.4826, 0.4826], qb:[0.5058, 0.5522], phi:[0.4942]] | [M:[[6], [2], [-6], [-6], [2], [-2]], q:[[-3], [-3]], qb:[[1], [9]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}M_{1}M_{4}$ | -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 |
---|---|---|---|---|---|---|---|---|
56258 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ | 0.6984 | 0.8575 | 0.8144 | [M:[1.0557, 1.0186, 0.9443, 0.9443, 1.0186, 0.9814, 0.9443], q:[0.4721, 0.4721], qb:[0.5093, 0.5836], 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 | |
56257 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6954 | 0.852 | 0.8161 | [M:[1.0419, 1.014, 0.9581, 0.9581, 1.014, 0.986, 0.986], q:[0.4791, 0.4791], qb:[0.507, 0.5628], phi:[0.493]] | 2*t^2.874 + 3*t^2.958 + t^3.126 + t^3.209 + 3*t^4.353 + 2*t^4.437 + t^4.521 + 2*t^4.605 + t^4.688 + t^4.856 + t^5.749 + 5*t^5.833 + 4*t^5.916 - 4*t^6. - t^4.479/y - t^4.479*y | detail | |
56256 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6538 | 0.8082 | 0.8089 | [M:[1.1765, 1.0588, 0.8235, 0.8235, 1.0588, 0.9412], q:[0.4118, 0.4118], qb:[0.5294, 0.7647], phi:[0.4706]] | 2*t^2.471 + 2*t^2.824 + t^3.176 + t^3.529 + 4*t^3.882 + 2*t^4.235 + t^4.588 + 3*t^4.941 + 4*t^5.294 + 3*t^5.647 - t^6. - t^4.412/y - t^4.412*y | detail | {a: 25695/39304, c: 7941/9826, M1: 20/17, M2: 18/17, M3: 14/17, M4: 14/17, M5: 18/17, M6: 16/17, q1: 7/17, q2: 7/17, qb1: 9/17, qb2: 13/17, phi1: 8/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
47051 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6952 | 0.8535 | 0.8145 | [M:[1.0257, 1.0461, 0.9743, 0.9368, 1.0086, 0.9539], q:[0.4684, 0.5059], qb:[0.4855, 0.5572], phi:[0.4957]] | t^2.81 + t^2.862 + t^2.923 + t^2.974 + t^3.026 + t^3.077 + t^3.128 + t^4.298 + t^4.349 + t^4.4 + t^4.41 + t^4.462 + t^4.523 + t^4.564 + t^4.615 + t^4.677 + t^4.831 + t^5.621 + t^5.672 + t^5.724 + t^5.785 + 2*t^5.836 + t^5.887 + t^5.897 + t^5.939 + t^5.949 + t^5.99 - 2*t^6. - t^4.487/y - t^4.487*y | detail |