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 |
---|---|---|---|---|---|---|---|---|---|
4997 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.653 | 0.8624 | 0.7572 | [M:[0.9692, 1.0923, 1.0308, 0.9077, 0.7731, 0.7115, 0.8347, 0.9077], q:[0.7423, 0.2885], qb:[0.423, 0.4846], phi:[0.5154]] | [M:[[4], [-12], [-4], [12], [-3], [5], [-11], [12]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}M_{5}q_{1}\tilde{q}_{2}$ | -2 | 2*t^2.135 + 2*t^2.319 + t^2.504 + 2*t^2.723 + 2*t^3.092 + t^3.681 + t^4.084 + 4*t^4.269 + 5*t^4.454 + 5*t^4.639 + 2*t^4.823 + 4*t^4.858 + t^5.008 + 4*t^5.042 + 6*t^5.227 + 3*t^5.412 + 3*t^5.446 + t^5.596 + 4*t^5.815 - 2*t^6. + t^6.185 + 2*t^6.219 + 8*t^6.404 + 7*t^6.588 + 10*t^6.773 + 2*t^6.807 + 6*t^6.958 + 7*t^6.992 + 4*t^7.142 + 10*t^7.177 + 2*t^7.327 + 13*t^7.361 + t^7.512 + 7*t^7.546 + 6*t^7.58 + 6*t^7.731 + 6*t^7.765 + t^7.916 + 7*t^7.95 + t^8.1 - 4*t^8.135 + 5*t^8.169 - 3*t^8.319 + 4*t^8.354 - 4*t^8.504 + 15*t^8.538 - t^8.689 + 5*t^8.723 + 11*t^8.908 + 4*t^8.942 - t^4.546/y - t^6.681/y - t^6.865/y - t^7.05/y + (5*t^7.454)/y + (2*t^7.639)/y + (3*t^7.823)/y + (4*t^7.858)/y + (5*t^8.042)/y + (7*t^8.227)/y + (5*t^8.412)/y + t^8.446/y + (2*t^8.596)/y + (5*t^8.815)/y - t^4.546*y - t^6.681*y - t^6.865*y - t^7.05*y + 5*t^7.454*y + 2*t^7.639*y + 3*t^7.823*y + 4*t^7.858*y + 5*t^8.042*y + 7*t^8.227*y + 5*t^8.412*y + t^8.446*y + 2*t^8.596*y + 5*t^8.815*y | 2*g1^5*t^2.135 + (2*t^2.319)/g1^3 + t^2.504/g1^11 + 2*g1^12*t^2.723 + (2*t^3.092)/g1^4 + g1^3*t^3.681 + g1^18*t^4.084 + 4*g1^10*t^4.269 + 5*g1^2*t^4.454 + (5*t^4.639)/g1^6 + (2*t^4.823)/g1^14 + 4*g1^17*t^4.858 + t^5.008/g1^22 + 4*g1^9*t^5.042 + 6*g1*t^5.227 + (3*t^5.412)/g1^7 + 3*g1^24*t^5.446 + t^5.596/g1^15 + 4*g1^8*t^5.815 - 2*t^6. + t^6.185/g1^8 + 2*g1^23*t^6.219 + 8*g1^15*t^6.404 + 7*g1^7*t^6.588 + (10*t^6.773)/g1 + 2*g1^30*t^6.807 + (6*t^6.958)/g1^9 + 7*g1^22*t^6.992 + (4*t^7.142)/g1^17 + 10*g1^14*t^7.177 + (2*t^7.327)/g1^25 + 13*g1^6*t^7.361 + t^7.512/g1^33 + (7*t^7.546)/g1^2 + 6*g1^29*t^7.58 + (6*t^7.731)/g1^10 + 6*g1^21*t^7.765 + t^7.916/g1^18 + 7*g1^13*t^7.95 + t^8.1/g1^26 - 4*g1^5*t^8.135 + 5*g1^36*t^8.169 - (3*t^8.319)/g1^3 + 4*g1^28*t^8.354 - (4*t^8.504)/g1^11 + 15*g1^20*t^8.538 - t^8.689/g1^19 + 5*g1^12*t^8.723 + 11*g1^4*t^8.908 + 4*g1^35*t^8.942 - t^4.546/(g1^2*y) - (g1^3*t^6.681)/y - t^6.865/(g1^5*y) - t^7.05/(g1^13*y) + (5*g1^2*t^7.454)/y + (2*t^7.639)/(g1^6*y) + (3*t^7.823)/(g1^14*y) + (4*g1^17*t^7.858)/y + (5*g1^9*t^8.042)/y + (7*g1*t^8.227)/y + (5*t^8.412)/(g1^7*y) + (g1^24*t^8.446)/y + (2*t^8.596)/(g1^15*y) + (5*g1^8*t^8.815)/y - (t^4.546*y)/g1^2 - g1^3*t^6.681*y - (t^6.865*y)/g1^5 - (t^7.05*y)/g1^13 + 5*g1^2*t^7.454*y + (2*t^7.639*y)/g1^6 + (3*t^7.823*y)/g1^14 + 4*g1^17*t^7.858*y + 5*g1^9*t^8.042*y + 7*g1*t^8.227*y + (5*t^8.412*y)/g1^7 + g1^24*t^8.446*y + (2*t^8.596*y)/g1^15 + 5*g1^8*t^8.815*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 |
---|---|---|---|---|---|---|---|---|
6578 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.671 | 0.8943 | 0.7503 | [M:[0.971, 1.0871, 1.029, 0.9129, 0.7718, 0.7137, 0.8299, 0.9129, 0.7718], q:[0.7427, 0.2863], qb:[0.4274, 0.4855], phi:[0.5145]] | 2*t^2.141 + 3*t^2.315 + t^2.49 + 2*t^2.739 + 2*t^3.087 + t^4.108 + 4*t^4.282 + 7*t^4.456 + 8*t^4.631 + 3*t^4.805 + 4*t^4.88 + t^4.979 + 6*t^5.054 + 6*t^5.228 + 5*t^5.402 + 3*t^5.477 + t^5.577 + 2*t^5.826 - 4*t^6. - t^4.544/y - t^4.544*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 |
---|---|---|---|---|---|---|---|---|---|
3120 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6462 | 0.8496 | 0.7606 | [M:[0.9822, 1.0534, 1.0178, 0.9466, 0.7634, 0.7277, 0.799], q:[0.7455, 0.2723], qb:[0.4555, 0.4911], phi:[0.5089]] | 2*t^2.183 + 2*t^2.29 + t^2.397 + t^2.84 + 2*t^3.053 + t^3.16 + t^3.71 + t^4.259 + 4*t^4.366 + 5*t^4.473 + 5*t^4.58 + 2*t^4.687 + t^4.794 + 2*t^5.023 + 2*t^5.13 + 5*t^5.237 + 5*t^5.344 + 3*t^5.45 + t^5.557 + t^5.679 + 2*t^5.893 - t^6. - t^4.527/y - t^4.527*y | detail |