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 |
---|---|---|---|---|---|---|---|---|---|
48150 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6308 | 0.796 | 0.7925 | [M:[1.1431, 0.75, 1.25, 0.8569, 0.8569], q:[0.75, 0.3569], qb:[0.3931, 0.5], phi:[0.5]] | [M:[[1], [0], [0], [-1], [-1]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$ | ${}M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.25 + 2*t^2.571 + t^2.679 + t^3. + t^3.321 + t^3.641 + 2*t^3.75 + t^3.859 + t^4.071 + t^4.179 + 2*t^4.5 + 2*t^4.821 + t^4.929 + 3*t^5.141 + 3*t^5.25 + t^5.359 + 2*t^5.571 + 2*t^5.891 + 2*t^6.212 + 4*t^6.321 + 2*t^6.429 + t^6.538 + 3*t^6.641 + 3*t^6.75 + t^6.859 + t^6.962 + 3*t^7.071 + t^7.282 + 4*t^7.391 + 3*t^7.5 + t^7.609 + 5*t^7.712 + t^7.718 + 5*t^7.821 + t^7.929 + 2*t^8.038 + 4*t^8.141 + t^8.359 + 3*t^8.462 - t^8.571 - 2*t^8.679 + 3*t^8.782 + 5*t^8.891 - t^4.5/y - t^7.071/y + (2*t^7.821)/y + (2*t^7.929)/y + t^8.141/y + (3*t^8.25)/y + (3*t^8.571)/y + t^8.679/y + (3*t^8.891)/y - t^4.5*y - t^7.071*y + 2*t^7.821*y + 2*t^7.929*y + t^8.141*y + 3*t^8.25*y + 3*t^8.571*y + t^8.679*y + 3*t^8.891*y | t^2.25 + (2*t^2.571)/g1 + g1*t^2.679 + t^3. + t^3.321/g1 + t^3.641/g1^2 + 2*t^3.75 + g1^2*t^3.859 + t^4.071/g1 + g1*t^4.179 + 2*t^4.5 + (2*t^4.821)/g1 + g1*t^4.929 + (3*t^5.141)/g1^2 + 3*t^5.25 + g1^2*t^5.359 + (2*t^5.571)/g1 + (2*t^5.891)/g1^2 + (2*t^6.212)/g1^3 + (4*t^6.321)/g1 + 2*g1*t^6.429 + g1^3*t^6.538 + (3*t^6.641)/g1^2 + 3*t^6.75 + g1^2*t^6.859 + t^6.962/g1^3 + (3*t^7.071)/g1 + t^7.282/g1^4 + (4*t^7.391)/g1^2 + 3*t^7.5 + g1^2*t^7.609 + (5*t^7.712)/g1^3 + g1^4*t^7.718 + (5*t^7.821)/g1 + g1*t^7.929 + 2*g1^3*t^8.038 + (4*t^8.141)/g1^2 + g1^2*t^8.359 + (3*t^8.462)/g1^3 - t^8.571/g1 - 2*g1*t^8.679 + (3*t^8.782)/g1^4 + (5*t^8.891)/g1^2 - t^4.5/y - t^7.071/(g1*y) + (2*t^7.821)/(g1*y) + (2*g1*t^7.929)/y + t^8.141/(g1^2*y) + (3*t^8.25)/y + (3*t^8.571)/(g1*y) + (g1*t^8.679)/y + (3*t^8.891)/(g1^2*y) - t^4.5*y - (t^7.071*y)/g1 + (2*t^7.821*y)/g1 + 2*g1*t^7.929*y + (t^8.141*y)/g1^2 + 3*t^8.25*y + (3*t^8.571*y)/g1 + g1*t^8.679*y + (3*t^8.891*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
50914 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6491 | 0.8288 | 0.7832 | [M:[1.1248, 0.75, 1.25, 0.8752, 0.8752, 0.7495], q:[0.75, 0.3752], qb:[0.3748, 0.5], phi:[0.5]] | t^2.249 + t^2.25 + t^2.624 + 2*t^2.626 + t^3. + t^3.376 + t^3.749 + 2*t^3.75 + t^4.124 + t^4.126 + t^4.497 + t^4.499 + 2*t^4.5 + t^4.873 + 3*t^4.874 + 2*t^4.876 + 2*t^5.249 + 3*t^5.25 + 3*t^5.251 + t^5.624 + 2*t^5.626 + t^5.997 + 2*t^5.999 - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
46522 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6189 | 0.7751 | 0.7984 | [M:[1.125, 0.75, 1.25, 0.875], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | t^2.25 + 2*t^2.625 + t^3. + 2*t^3.375 + 4*t^3.75 + 2*t^4.125 + 2*t^4.5 + 2*t^4.875 + 4*t^5.25 + 2*t^5.625 + 3*t^6. - t^4.5/y - t^4.5*y | detail | {a: 2535/4096, c: 3175/4096, M1: 9/8, M2: 3/4, M3: 5/4, M4: 7/8, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2} |