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 |
---|---|---|---|---|---|---|---|---|---|
57276 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1.3154 | 1.4638 | 0.8986 | [X:[1.4166], M:[1.1249], q:[0.7362, 0.4026], qb:[0.6804, 0.4306], phi:[0.2917]] | [X:[[0, 2]], M:[[0, 3]], q:[[-1, -4], [-1, 4]], qb:[[1, 6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.5 + t^3.249 + 2*t^3.375 + t^3.5 + t^4.124 + 3*t^4.25 + t^4.375 + t^4.999 + t^5.125 + 2*t^5.5 + t^5.749 + t^5.874 - 2*t^6. - t^6.126 + 2*t^6.249 + 2*t^6.375 + t^6.498 + 2*t^6.5 + 3*t^6.624 + 5*t^6.749 - t^7.001 + t^7.373 + 6*t^7.499 + 7*t^7.625 + 4*t^7.75 - 4*t^8.125 + 2*t^8.248 - 2*t^8.251 + 4*t^8.374 + 5*t^8.5 + 4*t^8.625 + 4*t^8.749 + t^8.751 + 4*t^8.874 + t^8.998 + t^8.625/y^2 - t^3.875/y - t^4.75/y - t^6.375/y - t^7.124/y - (2*t^7.25)/y - t^7.375/y - t^7.999/y - (3*t^8.125)/y - t^8.251/y + t^8.749/y + t^8.874/y - t^3.875*y - t^4.75*y - t^6.375*y - t^7.124*y - 2*t^7.25*y - t^7.375*y - t^7.999*y - 3*t^8.125*y - t^8.251*y + t^8.749*y + t^8.874*y + t^8.625*y^2 | g2^4*t^2.5 + g2^10*t^3.249 + 2*g2^3*t^3.375 + t^3.5/g2^4 + g2^9*t^4.124 + 3*g2^2*t^4.25 + t^4.375/g2^5 + g2^8*t^4.999 + g2*t^5.125 + (g2^3*t^5.5)/g1^3 + g1^3*g2^5*t^5.5 + g2^14*t^5.749 + g2^7*t^5.874 - 2*t^6. - t^6.126/g2^7 + (g2^9*t^6.249)/g1^3 + g1^3*g2^11*t^6.249 + (g2^2*t^6.375)/g1^3 + g1^3*g2^4*t^6.375 + g2^20*t^6.498 + t^6.5/(g1^3*g2^5) + (g1^3*t^6.5)/g2^3 + 3*g2^13*t^6.624 + 5*g2^6*t^6.749 - t^7.001/g2^8 + g2^19*t^7.373 + 6*g2^12*t^7.499 + 7*g2^5*t^7.625 + (4*t^7.75)/g2^2 - (2*t^8.125)/g1^3 - 2*g1^3*g2^2*t^8.125 + 2*g2^18*t^8.248 - t^8.251/(g1^3*g2^7) - (g1^3*t^8.251)/g2^5 + 4*g2^11*t^8.374 + 5*g2^4*t^8.5 + (4*t^8.625)/g2^3 + (2*g2^13*t^8.749)/g1^3 + 2*g1^3*g2^15*t^8.749 + t^8.751/g2^10 + (2*g2^6*t^8.874)/g1^3 + 2*g1^3*g2^8*t^8.874 + g2^24*t^8.998 + t^8.625/(g2^3*y^2) - t^3.875/(g2*y) - t^4.75/(g2^2*y) - (g2^3*t^6.375)/y - (g2^9*t^7.124)/y - (2*g2^2*t^7.25)/y - t^7.375/(g2^5*y) - (g2^8*t^7.999)/y - (3*g2*t^8.125)/y - t^8.251/(g2^6*y) + (g2^14*t^8.749)/y + (g2^7*t^8.874)/y - (t^3.875*y)/g2 - (t^4.75*y)/g2^2 - g2^3*t^6.375*y - g2^9*t^7.124*y - 2*g2^2*t^7.25*y - (t^7.375*y)/g2^5 - g2^8*t^7.999*y - 3*g2*t^8.125*y - (t^8.251*y)/g2^6 + g2^14*t^8.749*y + g2^7*t^8.874*y + (t^8.625*y^2)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
57843 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.33 | 1.4913 | 0.8918 | [X:[1.4125], M:[1.1188, 0.825], q:[0.7437, 0.3938], qb:[0.6688, 0.4312], phi:[0.2937]] | 2*t^2.48 + t^3.19 + 2*t^3.36 + t^4.07 + 3*t^4.24 + t^4.41 + 3*t^4.95 + t^5.12 + 2*t^5.48 + 2*t^5.66 + 3*t^5.83 - 3*t^6. - t^3.88/y - t^4.76/y - t^3.88*y - t^4.76*y | detail | |
57840 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.2144 | 1.3237 | 0.9174 | [X:[1.5], M:[1.25], q:[0.5833, 0.5833], qb:[0.9167, 0.4167], phi:[0.25]] | 2*t^3. + 3*t^3.75 + 4*t^4.5 + t^5.25 + 2*t^6. - t^3.75/y - t^4.5/y - t^3.75*y - t^4.5*y | detail | {a: 2487/2048, c: 2711/2048, X1: 3/2, M1: 5/4, q1: 7/12, q2: 7/12, qb1: 11/12, qb2: 5/12, phi1: 1/4} |
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 |
---|---|---|---|---|---|---|---|---|---|
47881 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3224 | 1.4876 | 0.8889 | [X:[1.3809], M:[1.0713], q:[0.6904, 0.3809], qb:[0.6904, 0.3809], phi:[0.3096]] | t^2.285 + 4*t^3.214 + 5*t^4.143 + t^4.57 + t^5.071 + 2*t^5.285 + 4*t^5.499 - 5*t^6. - t^3.929/y - t^4.857/y - t^3.929*y - t^4.857*y | detail |