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 |
---|---|---|---|---|---|---|---|---|---|
4705 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{2}$ | 0.5869 | 0.7243 | 0.8103 | [X:[1.4058, 1.6039], M:[0.9903, 0.5942, 0.3961, 1.1884, 0.8116, 0.7729, 1.0097, 1.0097], q:[0.7126, 0.2971], qb:[0.8913, 0.5145], phi:[0.3961]] | [X:[[6], [4]], M:[[-10], [-6], [-4], [-12], [12], [-28], [10], [10]], q:[[13], [-3]], qb:[[-9], [15]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | -1 | t^2.319 + t^2.377 + t^2.435 + 2*t^3.029 + t^3.565 + t^3.623 + t^4.217 + t^4.276 + t^4.637 + t^4.695 + 2*t^4.754 + 2*t^4.812 + t^4.87 + t^5.348 + t^5.406 + 2*t^5.464 + t^5.884 + t^5.942 - t^6. + 3*t^6.058 + t^6.594 + 2*t^6.652 + t^6.71 + t^6.956 + t^7.014 + 2*t^7.072 + 3*t^7.13 + t^7.188 + t^7.246 + 2*t^7.305 + t^7.666 + t^7.783 + 2*t^7.841 + 2*t^7.899 + t^8.203 + t^8.261 - t^8.319 - t^8.435 + 3*t^8.493 + t^8.551 - t^4.188/y - t^6.507/y - t^6.565/y + t^7.159/y - t^7.217/y + t^7.695/y + t^7.754/y + (2*t^7.812)/y + t^7.87/y + (2*t^8.348)/y + (2*t^8.406)/y + (2*t^8.464)/y - t^8.826/y + t^8.942/y - t^4.188*y - t^6.507*y - t^6.565*y + t^7.159*y - t^7.217*y + t^7.695*y + t^7.754*y + 2*t^7.812*y + t^7.87*y + 2*t^8.348*y + 2*t^8.406*y + 2*t^8.464*y - t^8.826*y + t^8.942*y | t^2.319/g1^28 + t^2.377/g1^8 + g1^12*t^2.435 + 2*g1^10*t^3.029 + t^3.565/g1^12 + g1^8*t^3.623 + g1^6*t^4.217 + g1^26*t^4.276 + t^4.637/g1^56 + t^4.695/g1^36 + (2*t^4.754)/g1^16 + 2*g1^4*t^4.812 + g1^24*t^4.87 + t^5.348/g1^18 + g1^2*t^5.406 + 2*g1^22*t^5.464 + t^5.884/g1^40 + t^5.942/g1^20 - t^6. + 3*g1^20*t^6.058 + t^6.594/g1^2 + 2*g1^18*t^6.652 + g1^38*t^6.71 + t^6.956/g1^84 + t^7.014/g1^64 + (2*t^7.072)/g1^44 + (3*t^7.13)/g1^24 + t^7.188/g1^4 + g1^16*t^7.246 + 2*g1^36*t^7.305 + t^7.666/g1^46 + t^7.783/g1^6 + 2*g1^14*t^7.841 + 2*g1^34*t^7.899 + t^8.203/g1^68 + t^8.261/g1^48 - t^8.319/g1^28 - g1^12*t^8.435 + 3*g1^32*t^8.493 + g1^52*t^8.551 - t^4.188/(g1^4*y) - t^6.507/(g1^32*y) - t^6.565/(g1^12*y) + t^7.159/(g1^14*y) - (g1^6*t^7.217)/y + t^7.695/(g1^36*y) + t^7.754/(g1^16*y) + (2*g1^4*t^7.812)/y + (g1^24*t^7.87)/y + (2*t^8.348)/(g1^18*y) + (2*g1^2*t^8.406)/y + (2*g1^22*t^8.464)/y - t^8.826/(g1^60*y) + t^8.942/(g1^20*y) - (t^4.188*y)/g1^4 - (t^6.507*y)/g1^32 - (t^6.565*y)/g1^12 + (t^7.159*y)/g1^14 - g1^6*t^7.217*y + (t^7.695*y)/g1^36 + (t^7.754*y)/g1^16 + 2*g1^4*t^7.812*y + g1^24*t^7.87*y + (2*t^8.348*y)/g1^18 + 2*g1^2*t^8.406*y + 2*g1^22*t^8.464*y - (t^8.826*y)/g1^60 + (t^8.942*y)/g1^20 |
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 |
---|---|---|---|---|---|---|---|---|
6307 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{2}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.604 | 0.7545 | 0.8005 | [X:[1.4087, 1.6058], M:[0.9855, 0.5913, 0.3942, 1.1826, 0.8174, 0.7595, 1.0145, 1.0145, 0.7884], q:[0.7188, 0.2957], qb:[0.887, 0.5217], phi:[0.3942]] | t^2.278 + 2*t^2.365 + t^2.452 + 2*t^3.043 + t^3.548 + t^4.226 + t^4.313 + t^4.557 + 2*t^4.644 + 4*t^4.731 + 3*t^4.817 + t^4.904 + t^5.322 + 3*t^5.409 + 2*t^5.495 + t^5.826 + t^5.913 - 2*t^6. - t^4.183/y - t^4.183*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 |
---|---|---|---|---|---|---|---|---|---|
2611 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ | 0.6961 | 0.8694 | 0.8006 | [X:[1.3228], M:[1.1287, 0.6772, 0.8059, 1.0, 1.0, 0.8059, 0.8713, 0.8713], q:[0.5327, 0.3386], qb:[0.6614, 0.6614], phi:[0.4515]] | 2*t^2.418 + 2*t^2.614 + t^2.709 + 2*t^3. + 2*t^3.968 + 2*t^4.354 + t^4.551 + 3*t^4.835 + 2*t^4.937 + 2*t^5.032 + 2*t^5.127 + 3*t^5.228 + 5*t^5.323 + 4*t^5.418 + 2*t^5.614 + 2*t^5.709 - 3*t^6. - t^4.354/y - t^4.354*y | detail |