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 |
---|---|---|---|---|---|---|---|---|---|
2351 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{1}M_{7}$ | 0.641 | 0.7974 | 0.8038 | [X:[1.4972], M:[0.8587, 0.7853, 0.9322, 1.2147, 0.5028, 0.7119, 1.1413], q:[0.7853, 0.3559], qb:[0.4294, 0.7119], phi:[0.4294]] | [X:[[7]], M:[[-4], [1], [-9], [-1], [-7], [6], [4]], q:[[1], [3]], qb:[[-2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 1 | t^2.136 + t^2.356 + t^2.576 + t^2.797 + 3*t^3.424 + 2*t^3.644 + t^4.271 + 3*t^4.492 + 3*t^4.712 + t^4.932 + t^5.152 + t^5.373 + 4*t^5.559 + t^5.593 + 4*t^5.78 + t^6. + t^6.22 + t^6.407 + t^6.441 + 3*t^6.627 + 7*t^6.848 + 4*t^7.068 + t^7.288 + t^7.508 + 4*t^7.695 + 2*t^7.729 + 8*t^7.915 + t^7.949 + 5*t^8.136 + t^8.169 - 3*t^8.356 + t^8.39 + t^8.543 - 2*t^8.576 + 3*t^8.763 - t^8.797 + 10*t^8.983 - t^4.288/y - t^6.424/y - t^6.864/y - t^7.085/y + (2*t^7.492)/y + (2*t^7.712)/y + (2*t^7.932)/y + (2*t^8.152)/y + t^8.373/y + (2*t^8.559)/y + (5*t^8.78)/y - t^4.288*y - t^6.424*y - t^6.864*y - t^7.085*y + 2*t^7.492*y + 2*t^7.712*y + 2*t^7.932*y + 2*t^8.152*y + t^8.373*y + 2*t^8.559*y + 5*t^8.78*y | g1^6*t^2.136 + g1*t^2.356 + t^2.576/g1^4 + t^2.797/g1^9 + 3*g1^4*t^3.424 + (2*t^3.644)/g1 + g1^12*t^4.271 + 3*g1^7*t^4.492 + 3*g1^2*t^4.712 + t^4.932/g1^3 + t^5.152/g1^8 + t^5.373/g1^13 + 4*g1^10*t^5.559 + t^5.593/g1^18 + 4*g1^5*t^5.78 + t^6. + t^6.22/g1^5 + g1^18*t^6.407 + t^6.441/g1^10 + 3*g1^13*t^6.627 + 7*g1^8*t^6.848 + 4*g1^3*t^7.068 + t^7.288/g1^2 + t^7.508/g1^7 + 4*g1^16*t^7.695 + (2*t^7.729)/g1^12 + 8*g1^11*t^7.915 + t^7.949/g1^17 + 5*g1^6*t^8.136 + t^8.169/g1^22 - 3*g1*t^8.356 + t^8.39/g1^27 + g1^24*t^8.543 - (2*t^8.576)/g1^4 + 3*g1^19*t^8.763 - t^8.797/g1^9 + 10*g1^14*t^8.983 - t^4.288/(g1^2*y) - (g1^4*t^6.424)/y - t^6.864/(g1^6*y) - t^7.085/(g1^11*y) + (2*g1^7*t^7.492)/y + (2*g1^2*t^7.712)/y + (2*t^7.932)/(g1^3*y) + (2*t^8.152)/(g1^8*y) + t^8.373/(g1^13*y) + (2*g1^10*t^8.559)/y + (5*g1^5*t^8.78)/y - (t^4.288*y)/g1^2 - g1^4*t^6.424*y - (t^6.864*y)/g1^6 - (t^7.085*y)/g1^11 + 2*g1^7*t^7.492*y + 2*g1^2*t^7.712*y + (2*t^7.932*y)/g1^3 + (2*t^8.152*y)/g1^8 + (t^8.373*y)/g1^13 + 2*g1^10*t^8.559*y + 5*g1^5*t^8.78*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 |
---|---|---|---|---|---|---|---|---|
4346 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.629 | 0.7788 | 0.8077 | [X:[1.4751], M:[0.8714, 0.7822, 0.9606, 1.2178, 0.5249, 0.6929, 1.1286, 1.1286], q:[0.7822, 0.3465], qb:[0.4357, 0.6929], phi:[0.4357]] | t^2.079 + t^2.346 + t^2.882 + 4*t^3.386 + 2*t^3.654 + t^4.158 + 3*t^4.425 + 2*t^4.693 + 5*t^5.465 + 5*t^5.732 + t^5.763 - 2*t^6. - t^4.307/y - t^4.307*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 |
---|---|---|---|---|---|---|---|---|---|
1299 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{5}X_{1}$ | 0.6539 | 0.8186 | 0.7988 | [X:[1.5176], M:[0.8471, 0.7882, 0.9059, 1.2118, 0.4824, 0.7294], q:[0.7882, 0.3647], qb:[0.4235, 0.7294], phi:[0.4235]] | t^2.188 + t^2.365 + 2*t^2.541 + t^2.718 + 2*t^3.459 + 2*t^3.635 + t^4.376 + 3*t^4.553 + 4*t^4.729 + 2*t^4.906 + 3*t^5.082 + 2*t^5.259 + t^5.436 + 3*t^5.647 + 3*t^5.823 + 2*t^6. - t^4.271/y - t^4.271*y | detail |