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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214 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.5536 | 0.7057 | 0.7845 | [M:[1.0, 0.7344], q:[0.7832, 0.2168], qb:[0.7832, 0.4824], phi:[0.4336]] | [M:[[0], [-8]], q:[[1], [-1]], qb:[[1], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{3}\tilde{q}_{2}$ | 2 | t^2.098 + t^2.203 + 2*t^2.602 + 2*t^3. + t^3.398 + t^3.797 + 2*t^4.195 + t^4.301 + t^4.406 + 3*t^4.699 + 2*t^4.805 + 2*t^5.098 + 4*t^5.203 + t^5.496 + 3*t^5.602 + t^5.895 + 2*t^6. + 2*t^6.293 + 2*t^6.398 + t^6.609 + 4*t^6.797 + t^6.902 + 2*t^7.008 + 3*t^7.195 + 3*t^7.301 + 4*t^7.406 + 2*t^7.594 + t^7.699 + 5*t^7.805 + 2*t^7.992 + 2*t^8.203 + 3*t^8.391 + t^8.496 + t^8.812 + 4*t^8.895 - t^4.301/y - t^6.504/y - t^6.902/y + t^7.301/y + (3*t^7.699)/y + (2*t^7.805)/y + (3*t^8.098)/y + (3*t^8.203)/y + t^8.496/y + (5*t^8.602)/y - t^8.707/y + t^8.895/y - t^4.301*y - t^6.504*y - t^6.902*y + t^7.301*y + 3*t^7.699*y + 2*t^7.805*y + 3*t^8.098*y + 3*t^8.203*y + t^8.496*y + 5*t^8.602*y - t^8.707*y + t^8.895*y | g1^6*t^2.098 + t^2.203/g1^8 + (2*t^2.602)/g1^4 + 2*t^3. + g1^4*t^3.398 + g1^8*t^3.797 + 2*g1^12*t^4.195 + t^4.301/g1^2 + t^4.406/g1^16 + 3*g1^2*t^4.699 + (2*t^4.805)/g1^12 + 2*g1^6*t^5.098 + (4*t^5.203)/g1^8 + g1^10*t^5.496 + (3*t^5.602)/g1^4 + g1^14*t^5.895 + 2*t^6. + 2*g1^18*t^6.293 + 2*g1^4*t^6.398 + t^6.609/g1^24 + 4*g1^8*t^6.797 + t^6.902/g1^6 + (2*t^7.008)/g1^20 + 3*g1^12*t^7.195 + (3*t^7.301)/g1^2 + (4*t^7.406)/g1^16 + 2*g1^16*t^7.594 + g1^2*t^7.699 + (5*t^7.805)/g1^12 + 2*g1^20*t^7.992 + (2*t^8.203)/g1^8 + 3*g1^24*t^8.391 + g1^10*t^8.496 + t^8.812/g1^32 + 4*g1^14*t^8.895 - t^4.301/(g1^2*y) - t^6.504/(g1^10*y) - t^6.902/(g1^6*y) + t^7.301/(g1^2*y) + (3*g1^2*t^7.699)/y + (2*t^7.805)/(g1^12*y) + (3*g1^6*t^8.098)/y + (3*t^8.203)/(g1^8*y) + (g1^10*t^8.496)/y + (5*t^8.602)/(g1^4*y) - t^8.707/(g1^18*y) + (g1^14*t^8.895)/y - (t^4.301*y)/g1^2 - (t^6.504*y)/g1^10 - (t^6.902*y)/g1^6 + (t^7.301*y)/g1^2 + 3*g1^2*t^7.699*y + (2*t^7.805*y)/g1^12 + 3*g1^6*t^8.098*y + (3*t^8.203*y)/g1^8 + g1^10*t^8.496*y + (5*t^8.602*y)/g1^4 - (t^8.707*y)/g1^18 + g1^14*t^8.895*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 |
---|---|---|---|---|---|---|---|---|
342 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.5658 | 0.7265 | 0.7788 | [M:[1.0, 0.7154, 0.8577], q:[0.7856, 0.2144], qb:[0.7856, 0.499], phi:[0.4289]] | t^2.14 + t^2.146 + 3*t^2.573 + 2*t^3. + t^3.854 + 2*t^4.281 + t^4.287 + t^4.293 + 4*t^4.713 + 3*t^4.719 + 2*t^5.14 + 7*t^5.146 + 4*t^5.573 + t^5.994 - t^4.287/y - t^4.287*y | detail | |
376 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.5532 | 0.705 | 0.7847 | [M:[1.0, 0.7143], q:[0.7857, 0.2143], qb:[0.7857, 0.5], phi:[0.4286]] | 2*t^2.143 + 2*t^2.571 + 2*t^3. + t^3.429 + t^3.857 + 4*t^4.286 + 5*t^4.714 + 6*t^5.143 + 4*t^5.571 + 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 759/1372, c: 3869/5488, M1: 1, M2: 5/7, q1: 11/14, q2: 3/14, qb1: 11/14, qb2: 1/2, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
130 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.5943 | 0.7486 | 0.7938 | [M:[1.0, 0.8787], q:[0.7652, 0.2348], qb:[0.5607, 0.5607], phi:[0.4697]] | 2*t^2.387 + t^2.636 + 2*t^2.818 + t^3. + 2*t^3.796 + 2*t^3.978 + 6*t^4.773 + 4*t^5.204 + t^5.272 + 2*t^5.387 + 2*t^5.454 + 4*t^5.636 + t^5.818 - 5*t^6. - t^4.409/y - t^4.409*y | detail |