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 |
---|---|---|---|---|---|---|---|---|---|
2586 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}M_{7}$ | 0.6679 | 0.8359 | 0.7991 | [X:[1.3435], M:[1.1043, 0.687, 0.6565, 1.1348, 0.8652, 0.8652, 0.8957], q:[0.5522, 0.3435], qb:[0.7913, 0.5217], phi:[0.4478]] | [X:[[3]], M:[[-2], [6], [-3], [7], [-7], [-7], [2]], q:[[-1], [3]], qb:[[4], [-10]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.061 + 2*t^2.596 + 2*t^2.687 + t^3.222 + t^3.404 + t^3.939 + 2*t^4.03 + t^4.122 + t^4.474 + t^4.565 + 2*t^4.657 + 3*t^4.748 + 2*t^5.191 + 5*t^5.283 + 3*t^5.374 + 2*t^5.817 + t^5.909 - 2*t^6. + 4*t^6.091 + t^6.183 + t^6.443 + t^6.535 + 4*t^6.626 + 3*t^6.717 + 2*t^6.809 + 2*t^7.069 + 4*t^7.161 + 4*t^7.252 + 2*t^7.343 + 5*t^7.435 + t^7.695 + 2*t^7.787 + 5*t^7.878 + 6*t^7.97 + 2*t^8.152 + t^8.244 + 3*t^8.413 + 4*t^8.504 - 4*t^8.596 - 3*t^8.687 + 7*t^8.778 + 2*t^8.87 + t^8.947 - t^4.343/y - t^6.404/y - t^6.939/y - t^7.03/y + (3*t^7.657)/y + (3*t^7.748)/y + t^8.191/y + (6*t^8.283)/y + t^8.374/y + (2*t^8.817)/y + (2*t^8.909)/y - t^4.343*y - t^6.404*y - t^6.939*y - t^7.03*y + 3*t^7.657*y + 3*t^7.748*y + t^8.191*y + 6*t^8.283*y + t^8.374*y + 2*t^8.817*y + 2*t^8.909*y | g1^6*t^2.061 + (2*t^2.596)/g1^7 + 2*g1^2*t^2.687 + t^3.222/g1^11 + g1^7*t^3.404 + t^3.939/g1^6 + 2*g1^3*t^4.03 + g1^12*t^4.122 + t^4.474/g1^19 + t^4.565/g1^10 + (2*t^4.657)/g1 + 3*g1^8*t^4.748 + (2*t^5.191)/g1^14 + (5*t^5.283)/g1^5 + 3*g1^4*t^5.374 + (2*t^5.817)/g1^18 + t^5.909/g1^9 - 2*t^6. + 4*g1^9*t^6.091 + g1^18*t^6.183 + t^6.443/g1^22 + t^6.535/g1^13 + (4*t^6.626)/g1^4 + 3*g1^5*t^6.717 + 2*g1^14*t^6.809 + (2*t^7.069)/g1^26 + (4*t^7.161)/g1^17 + (4*t^7.252)/g1^8 + 2*g1*t^7.343 + 5*g1^10*t^7.435 + t^7.695/g1^30 + (2*t^7.787)/g1^21 + (5*t^7.878)/g1^12 + (6*t^7.97)/g1^3 + 2*g1^15*t^8.152 + g1^24*t^8.244 + (3*t^8.413)/g1^25 + (4*t^8.504)/g1^16 - (4*t^8.596)/g1^7 - 3*g1^2*t^8.687 + 7*g1^11*t^8.778 + 2*g1^20*t^8.87 + t^8.947/g1^38 - (g1*t^4.343)/y - (g1^7*t^6.404)/y - t^6.939/(g1^6*y) - (g1^3*t^7.03)/y + (3*t^7.657)/(g1*y) + (3*g1^8*t^7.748)/y + t^8.191/(g1^14*y) + (6*t^8.283)/(g1^5*y) + (g1^4*t^8.374)/y + (2*t^8.817)/(g1^18*y) + (2*t^8.909)/(g1^9*y) - g1*t^4.343*y - g1^7*t^6.404*y - (t^6.939*y)/g1^6 - g1^3*t^7.03*y + (3*t^7.657*y)/g1 + 3*g1^8*t^7.748*y + (t^8.191*y)/g1^14 + (6*t^8.283*y)/g1^5 + g1^4*t^8.374*y + (2*t^8.817*y)/g1^18 + (2*t^8.909*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
4673 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6887 | 0.8762 | 0.786 | [X:[1.3427], M:[1.1049, 0.6854, 0.6573, 1.1329, 0.8671, 0.8671, 0.8951, 0.6854], q:[0.5524, 0.3427], qb:[0.7902, 0.5244], phi:[0.4476]] | 2*t^2.056 + 2*t^2.601 + 2*t^2.685 + t^3.231 + t^3.399 + 2*t^4.028 + 3*t^4.112 + t^4.489 + t^4.573 + 4*t^4.657 + 5*t^4.741 + 2*t^5.203 + 6*t^5.287 + 3*t^5.371 + t^5.455 + 2*t^5.832 + t^5.916 - 3*t^6. - t^4.343/y - t^4.343*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 |
---|---|---|---|---|---|---|---|---|---|
1477 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ | 0.6585 | 0.8203 | 0.8028 | [X:[1.3457], M:[1.1029, 0.6914, 0.6543, 1.14, 0.86, 0.86], q:[0.5514, 0.3457], qb:[0.7943, 0.5143], phi:[0.4486]] | t^2.074 + 2*t^2.58 + t^2.691 + t^3.197 + t^3.309 + t^3.42 + t^3.926 + 2*t^4.037 + t^4.149 + t^4.431 + t^4.543 + 2*t^4.654 + 2*t^4.766 + 2*t^5.16 + 3*t^5.271 + 2*t^5.383 + 2*t^5.777 + 2*t^5.889 - t^6. - t^4.346/y - t^4.346*y | detail |