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 |
---|---|---|---|---|---|---|---|---|---|
1326 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{7}$ | 0.6962 | 0.8534 | 0.8158 | [M:[1.0383, 1.0151, 0.9316, 0.9699, 1.0, 1.0301, 0.9617], q:[0.511, 0.4507], qb:[0.5191, 0.5493], phi:[0.4925]] | [M:[[8, 0], [-2, 2], [-4, -4], [4, -4], [0, 0], [-4, 4], [-8, 0]], q:[[-8, 4], [0, -4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{7}$ | ${}$ | -2 | t^2.795 + t^2.885 + t^2.91 + t^3. + t^3.045 + t^3.09 + t^3.181 + t^4.182 + t^4.363 + t^4.387 + t^4.477 + t^4.543 + t^4.568 + t^4.592 + t^4.658 + t^4.683 + t^4.773 + t^5.59 + t^5.68 + t^5.77 + t^5.795 + t^5.84 + t^5.885 + t^5.93 + t^5.955 + t^5.976 - 2*t^6. - t^6.024 + t^6.045 + t^6.066 + t^6.09 - t^6.115 + t^6.136 + t^6.181 - t^6.205 + t^6.226 + t^6.271 - t^6.296 + t^6.362 + t^6.976 + t^7.067 + t^7.091 + t^7.157 + t^7.182 + t^7.248 + 2*t^7.272 + t^7.338 + 2*t^7.363 + t^7.387 + t^7.429 + 2*t^7.453 + t^7.477 + 2*t^7.543 + 2*t^7.568 + t^7.634 + 2*t^7.658 + t^7.683 + t^7.724 + t^7.749 + t^7.773 + t^7.839 + t^7.864 + t^7.954 + t^8.363 + t^8.384 + t^8.475 + t^8.544 + t^8.565 + t^8.569 - t^8.614 + t^8.635 + t^8.656 + t^8.659 + t^8.68 - t^8.704 + 2*t^8.725 + t^8.75 + t^8.77 + t^8.774 - 3*t^8.795 + t^8.816 - t^8.819 + 2*t^8.84 + t^8.861 + t^8.864 - 3*t^8.885 + t^8.906 - 4*t^8.91 + 2*t^8.93 + t^8.951 + 2*t^8.955 + t^8.979 - t^4.477/y - t^7.272/y + t^7.683/y + t^8.68/y + t^8.704/y + (2*t^8.795)/y + t^8.84/y + (2*t^8.885)/y + t^8.91/y + t^8.93/y + t^8.955/y + (2*t^8.976)/y - t^4.477*y - t^7.272*y + t^7.683*y + t^8.68*y + t^8.704*y + 2*t^8.795*y + t^8.84*y + 2*t^8.885*y + t^8.91*y + t^8.93*y + t^8.955*y + 2*t^8.976*y | t^2.795/(g1^4*g2^4) + t^2.885/g1^8 + (g1^4*t^2.91)/g2^4 + t^3. + (g2^2*t^3.045)/g1^2 + (g2^4*t^3.09)/g1^4 + (g2^8*t^3.181)/g1^8 + (g1*t^4.182)/g2^9 + t^4.363/(g1^7*g2) + (g1^5*t^4.387)/g2^5 + (g1*t^4.477)/g2 + (g2^7*t^4.543)/g1^15 + (g2^3*t^4.568)/g1^3 + (g1^9*t^4.592)/g2 + (g2^7*t^4.658)/g1^7 + g1^5*g2^3*t^4.683 + g1*g2^7*t^4.773 + t^5.59/(g1^8*g2^8) + t^5.68/(g1^12*g2^4) + t^5.77/g1^16 + t^5.795/(g1^4*g2^4) + t^5.84/(g1^6*g2^2) + t^5.885/g1^8 + (g2^2*t^5.93)/g1^10 + (g1^2*t^5.955)/g2^2 + (g2^4*t^5.976)/g1^12 - 2*t^6. - (g1^12*t^6.024)/g2^4 + (g2^2*t^6.045)/g1^2 + (g2^8*t^6.066)/g1^16 + (g2^4*t^6.09)/g1^4 - g1^8*t^6.115 + (g2^6*t^6.136)/g1^6 + (g2^8*t^6.181)/g1^8 - g1^4*g2^4*t^6.205 + (g2^10*t^6.226)/g1^10 + (g2^12*t^6.271)/g1^12 - g2^8*t^6.296 + (g2^16*t^6.362)/g1^16 + t^6.976/(g1^3*g2^13) + t^7.067/(g1^7*g2^9) + (g1^5*t^7.091)/g2^13 + t^7.157/(g1^11*g2^5) + (g1*t^7.182)/g2^9 + t^7.248/(g1^15*g2) + (2*t^7.272)/(g1^3*g2^5) + (g2^3*t^7.338)/g1^19 + (2*t^7.363)/(g1^7*g2) + (g1^5*t^7.387)/g2^5 + (g2^7*t^7.429)/g1^23 + (2*g2^3*t^7.453)/g1^11 + (g1*t^7.477)/g2 + (2*g2^7*t^7.543)/g1^15 + (2*g2^3*t^7.568)/g1^3 + (g2^11*t^7.634)/g1^19 + (2*g2^7*t^7.658)/g1^7 + g1^5*g2^3*t^7.683 + (g2^15*t^7.724)/g1^23 + (g2^11*t^7.749)/g1^11 + g1*g2^7*t^7.773 + (g2^15*t^7.839)/g1^15 + (g2^11*t^7.864)/g1^3 + (g2^15*t^7.954)/g1^7 + (g1^2*t^8.363)/g2^18 + t^8.384/(g1^12*g2^12) + t^8.475/(g1^16*g2^8) + t^8.544/(g1^6*g2^10) + t^8.565/(g1^20*g2^4) + (g1^6*t^8.569)/g2^14 - (g1^4*t^8.614)/g2^12 + t^8.635/(g1^10*g2^6) + t^8.656/g1^24 + (g1^2*t^8.659)/g2^10 + t^8.68/(g1^12*g2^4) - t^8.704/g2^8 + (2*t^8.725)/(g1^14*g2^2) + t^8.75/(g1^2*g2^6) + t^8.77/g1^16 + (g1^10*t^8.774)/g2^10 - (3*t^8.795)/(g1^4*g2^4) + (g2^2*t^8.816)/g1^18 - (g1^8*t^8.819)/g2^8 + (2*t^8.84)/(g1^6*g2^2) + (g2^4*t^8.861)/g1^20 + (g1^6*t^8.864)/g2^6 - (3*t^8.885)/g1^8 + (g2^6*t^8.906)/g1^22 - (4*g1^4*t^8.91)/g2^4 + (2*g2^2*t^8.93)/g1^10 + (g2^8*t^8.951)/g1^24 + (2*g1^2*t^8.955)/g2^2 + (g1^14*t^8.979)/g2^6 - (g1*t^4.477)/(g2*y) - t^7.272/(g1^3*g2^5*y) + (g1^5*g2^3*t^7.683)/y + t^8.68/(g1^12*g2^4*y) + t^8.704/(g2^8*y) + (2*t^8.795)/(g1^4*g2^4*y) + t^8.84/(g1^6*g2^2*y) + (2*t^8.885)/(g1^8*y) + (g1^4*t^8.91)/(g2^4*y) + (g2^2*t^8.93)/(g1^10*y) + (g1^2*t^8.955)/(g2^2*y) + (2*g2^4*t^8.976)/(g1^12*y) - (g1*t^4.477*y)/g2 - (t^7.272*y)/(g1^3*g2^5) + g1^5*g2^3*t^7.683*y + (t^8.68*y)/(g1^12*g2^4) + (t^8.704*y)/g2^8 + (2*t^8.795*y)/(g1^4*g2^4) + (t^8.84*y)/(g1^6*g2^2) + (2*t^8.885*y)/g1^8 + (g1^4*t^8.91*y)/g2^4 + (g2^2*t^8.93*y)/g1^10 + (g1^2*t^8.955*y)/g2^2 + (2*g2^4*t^8.976*y)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|
2361 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5627 | 0.6956 | 0.8089 | [M:[0.8411, 1.1429, 0.8731, 0.7143, 1.0, 1.2857, 1.1589], q:[0.8651, 0.2937], qb:[0.4206, 0.7063], phi:[0.4286]] | t^2.143 + t^2.619 + t^3. + t^3.048 + 2*t^3.429 + t^3.477 + t^3.809 + t^3.857 + t^4.286 + t^4.714 + t^4.762 + t^5.143 + t^5.191 + t^5.239 + t^5.571 + t^5.619 + t^5.667 - t^6. - t^4.286/y - t^4.286*y | detail | |
2363 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}X_{1}$ | 0.571 | 0.7105 | 0.8037 | [X:[1.385], M:[1.2316, 1.0767, 0.615, 0.8466, 1.0, 1.1534, 0.7684], q:[0.5376, 0.2308], qb:[0.6158, 0.7692], phi:[0.4617]] | t^2.305 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + t^3.92 + t^3.925 + t^4.155 + 2*t^4.611 + t^4.845 + t^5.075 + t^5.08 + t^5.305 + t^5.31 + t^5.535 + 2*t^5.54 + t^5.77 + t^5.996 - t^6. - t^4.385/y - t^4.385*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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
835 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ | 0.6954 | 0.8497 | 0.8184 | [M:[0.978, 1.0207, 0.9805, 0.9586, 1.0, 1.0414], q:[0.5524, 0.4696], qb:[0.489, 0.5304], phi:[0.4896]] | t^2.876 + t^2.934 + t^2.942 + t^3. + t^3.062 + t^3.124 + t^3.249 + t^4.286 + t^4.345 + t^4.403 + t^4.469 + t^4.527 + t^4.535 + t^4.593 + t^4.652 + t^4.718 + t^4.783 + t^5.868 + t^5.876 + t^5.883 + t^5.938 + t^5.996 - 2*t^6. - t^4.469/y - t^4.469*y | detail |