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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1620 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ | 0.6715 | 0.8316 | 0.8075 | [M:[1.1574, 1.1235, 0.9105, 1.0, 0.8426, 0.7531, 0.8426], q:[0.7809, 0.4661], qb:[0.3765, 0.6235], phi:[0.4383]] | [M:[[-3], [4], [-11], [0], [3], [-8], [3]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$ | ${}$ | -2 | t^2.259 + 2*t^2.528 + t^2.731 + t^3. + t^3.37 + t^3.574 + t^3.843 + t^4.111 + t^4.213 + t^4.315 + t^4.518 + t^4.583 + 2*t^4.787 + t^4.991 + 4*t^5.056 + 2*t^5.259 + t^5.463 + t^5.528 + t^5.63 + t^5.833 + 2*t^5.898 - 2*t^6. + 3*t^6.102 - t^6.269 + t^6.305 + 3*t^6.37 - t^6.472 + 2*t^6.574 + 2*t^6.639 + t^6.741 + t^6.778 + 2*t^6.843 + 2*t^7.046 + 2*t^7.111 + t^7.148 + t^7.25 + 3*t^7.315 + t^7.417 + 2*t^7.518 + 5*t^7.583 + t^7.685 + t^7.722 + 2*t^7.787 + 2*t^7.889 + t^7.954 + t^7.991 + t^8.092 + 2*t^8.157 + t^8.194 + t^8.222 - 3*t^8.259 + 3*t^8.361 + 4*t^8.426 - 6*t^8.528 + t^8.565 + 6*t^8.63 + t^8.695 - 3*t^8.731 - 2*t^8.796 + 3*t^8.833 + 4*t^8.898 - t^4.315/y - t^6.574/y - t^6.843/y - t^7.046/y + t^7.583/y + (3*t^7.787)/y + t^7.991/y + (2*t^8.056)/y + (3*t^8.259)/y + (2*t^8.528)/y + t^8.63/y + t^8.731/y + (2*t^8.898)/y - t^4.315*y - t^6.574*y - t^6.843*y - t^7.046*y + t^7.583*y + 3*t^7.787*y + t^7.991*y + 2*t^8.056*y + 3*t^8.259*y + 2*t^8.528*y + t^8.63*y + t^8.731*y + 2*t^8.898*y | t^2.259/g1^8 + 2*g1^3*t^2.528 + t^2.731/g1^11 + t^3. + g1^4*t^3.37 + t^3.574/g1^10 + g1*t^3.843 + g1^12*t^4.111 + g1^5*t^4.213 + t^4.315/g1^2 + t^4.518/g1^16 + g1^9*t^4.583 + (2*t^4.787)/g1^5 + t^4.991/g1^19 + 4*g1^6*t^5.056 + (2*t^5.259)/g1^8 + t^5.463/g1^22 + g1^3*t^5.528 + t^5.63/g1^4 + t^5.833/g1^18 + 2*g1^7*t^5.898 - 2*t^6. + (3*t^6.102)/g1^7 - g1^11*t^6.269 + t^6.305/g1^21 + 3*g1^4*t^6.37 - t^6.472/g1^3 + (2*t^6.574)/g1^10 + 2*g1^15*t^6.639 + g1^8*t^6.741 + t^6.778/g1^24 + 2*g1*t^6.843 + (2*t^7.046)/g1^13 + 2*g1^12*t^7.111 + t^7.148/g1^20 + t^7.25/g1^27 + (3*t^7.315)/g1^2 + t^7.417/g1^9 + (2*t^7.518)/g1^16 + 5*g1^9*t^7.583 + g1^2*t^7.685 + t^7.722/g1^30 + (2*t^7.787)/g1^5 + (2*t^7.889)/g1^12 + g1^13*t^7.954 + t^7.991/g1^19 + t^8.092/g1^26 + (2*t^8.157)/g1 + t^8.194/g1^33 + g1^24*t^8.222 - (3*t^8.259)/g1^8 + (3*t^8.361)/g1^15 + 4*g1^10*t^8.426 - 6*g1^3*t^8.528 + t^8.565/g1^29 + (6*t^8.63)/g1^4 + g1^21*t^8.695 - (3*t^8.731)/g1^11 - 2*g1^14*t^8.796 + (3*t^8.833)/g1^18 + 4*g1^7*t^8.898 - t^4.315/(g1^2*y) - t^6.574/(g1^10*y) - (g1*t^6.843)/y - t^7.046/(g1^13*y) + (g1^9*t^7.583)/y + (3*t^7.787)/(g1^5*y) + t^7.991/(g1^19*y) + (2*g1^6*t^8.056)/y + (3*t^8.259)/(g1^8*y) + (2*g1^3*t^8.528)/y + t^8.63/(g1^4*y) + t^8.731/(g1^11*y) + (2*g1^7*t^8.898)/y - (t^4.315*y)/g1^2 - (t^6.574*y)/g1^10 - g1*t^6.843*y - (t^7.046*y)/g1^13 + g1^9*t^7.583*y + (3*t^7.787*y)/g1^5 + (t^7.991*y)/g1^19 + 2*g1^6*t^8.056*y + (3*t^8.259*y)/g1^8 + 2*g1^3*t^8.528*y + (t^8.63*y)/g1^4 + (t^8.731*y)/g1^11 + 2*g1^7*t^8.898*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 |
---|---|---|---|---|---|---|---|---|---|
1037 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6579 | 0.8085 | 0.8137 | [M:[1.1541, 1.1279, 0.8983, 1.0, 0.8459, 0.7442], q:[0.782, 0.4738], qb:[0.3721, 0.6279], phi:[0.436]] | t^2.233 + t^2.538 + t^2.695 + t^3. + t^3.384 + t^3.462 + t^3.541 + t^3.846 + t^4.151 + t^4.23 + t^4.308 + t^4.465 + t^4.613 + t^4.77 + t^4.927 + 2*t^5.076 + t^5.233 + t^5.39 + t^5.616 + t^5.695 + t^5.773 + t^5.921 - t^6. - t^4.308/y - t^4.308*y | detail |