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 |
---|---|---|---|---|---|---|---|---|---|
46540 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.6262 | 0.8118 | 0.7713 | [M:[1.0, 0.9403, 0.716, 0.7392, 1.0597], q:[0.7575, 0.2425], qb:[0.5265, 0.5332], phi:[0.4851]] | [M:[[0, 0], [-8, -8], [-9, -1], [3, -5], [8, 8]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -3 | t^2.148 + t^2.218 + t^2.307 + t^2.327 + 2*t^2.91 + t^3. + t^3.179 + t^3.762 + t^3.872 + t^4.296 + t^4.366 + t^4.435 + t^4.455 + t^4.475 + t^4.525 + t^4.545 + 2*t^4.614 + 2*t^4.634 + 2*t^4.655 + 2*t^5.058 + t^5.128 + 3*t^5.218 + 2*t^5.238 + t^5.307 + 2*t^5.327 + t^5.397 + t^5.486 + t^5.506 + 3*t^5.821 + 2*t^5.91 - 3*t^6. + t^6.069 + 3*t^6.09 + t^6.179 + t^6.199 + t^6.358 + t^6.444 + t^6.514 + t^6.623 + t^6.653 + 2*t^6.673 + t^6.742 + 2*t^6.762 + 2*t^6.782 + 2*t^6.803 + 2*t^6.832 + t^6.872 + 2*t^6.921 + 3*t^6.942 + 2*t^6.962 + 2*t^6.982 + t^7.051 + 2*t^7.206 + t^7.276 + t^7.345 + 2*t^7.366 + 2*t^7.386 + t^7.435 - t^7.455 + 5*t^7.525 + 3*t^7.545 + 3*t^7.565 + 2*t^7.614 + 2*t^7.634 + 2*t^7.655 + 2*t^7.794 + 2*t^7.814 + 2*t^7.834 + 3*t^7.969 + t^8.038 + 3*t^8.128 - t^8.148 - t^8.218 + 3*t^8.238 - 3*t^8.307 - 5*t^8.327 + 2*t^8.377 + 2*t^8.397 + 2*t^8.417 + t^8.486 + 2*t^8.506 + 2*t^8.527 + t^8.576 + t^8.592 + t^8.662 + t^8.666 + t^8.686 + 4*t^8.731 + t^8.771 + t^8.801 + 3*t^8.821 + t^8.841 + t^8.87 - t^8.89 - 7*t^8.91 + 2*t^8.951 + t^8.96 + 3*t^8.98 - t^4.455/y - t^6.603/y - t^6.673/y + t^7.455/y + t^7.475/y + t^7.525/y + (2*t^7.545)/y + t^7.634/y + (2*t^8.058)/y + (2*t^8.128)/y + t^8.148/y + (3*t^8.218)/y + (3*t^8.238)/y + (2*t^8.307)/y + (2*t^8.327)/y + t^8.397/y + t^8.486/y + t^8.506/y - t^8.751/y - t^8.89/y + (3*t^8.91)/y + t^8.98/y - t^4.455*y - t^6.603*y - t^6.673*y + t^7.455*y + t^7.475*y + t^7.525*y + 2*t^7.545*y + t^7.634*y + 2*t^8.058*y + 2*t^8.128*y + t^8.148*y + 3*t^8.218*y + 3*t^8.238*y + 2*t^8.307*y + 2*t^8.327*y + t^8.397*y + t^8.486*y + t^8.506*y - t^8.751*y - t^8.89*y + 3*t^8.91*y + t^8.98*y | t^2.148/(g1^9*g2) + (g1^3*t^2.218)/g2^5 + (g1^7*t^2.307)/g2 + (g2^7*t^2.327)/g1 + (2*t^2.91)/(g1^4*g2^4) + t^3. + g1^8*g2^8*t^3.179 + (g1^5*t^3.762)/g2^3 + g1*g2^9*t^3.872 + t^4.296/(g1^18*g2^2) + t^4.366/(g1^6*g2^6) + (g1^6*t^4.435)/g2^10 + t^4.455/(g1^2*g2^2) + (g2^6*t^4.475)/g1^10 + (g1^10*t^4.525)/g2^6 + g1^2*g2^2*t^4.545 + (2*g1^14*t^4.614)/g2^2 + 2*g1^6*g2^6*t^4.634 + (2*g2^14*t^4.655)/g1^2 + (2*t^5.058)/(g1^13*g2^5) + t^5.128/(g1*g2^9) + (3*g1^3*t^5.218)/g2^5 + (2*g2^3*t^5.238)/g1^5 + (g1^7*t^5.307)/g2 + (2*g2^7*t^5.327)/g1 + g1^11*g2^3*t^5.397 + g1^15*g2^7*t^5.486 + g1^7*g2^15*t^5.506 + (3*t^5.821)/(g1^8*g2^8) + (2*t^5.91)/(g1^4*g2^4) - 3*t^6. + (g1^12*t^6.069)/g2^4 + 3*g1^4*g2^4*t^6.09 + g1^8*g2^8*t^6.179 + g2^16*t^6.199 + g1^16*g2^16*t^6.358 + t^6.444/(g1^27*g2^3) + t^6.514/(g1^15*g2^7) + (g2^5*t^6.623)/g1^19 + (g1^9*t^6.653)/g2^15 + (2*g1*t^6.673)/g2^7 + (g1^13*t^6.742)/g2^11 + (2*g1^5*t^6.762)/g2^3 + (2*g2^5*t^6.782)/g1^3 + (2*g2^13*t^6.803)/g1^11 + (2*g1^17*t^6.832)/g2^7 + g1*g2^9*t^6.872 + (2*g1^21*t^6.921)/g2^3 + 3*g1^13*g2^5*t^6.942 + 2*g1^5*g2^13*t^6.962 + (2*g2^21*t^6.982)/g1^3 + g1^9*g2^17*t^7.051 + (2*t^7.206)/(g1^22*g2^6) + t^7.276/(g1^10*g2^10) + (g1^2*t^7.345)/g2^14 + (2*t^7.366)/(g1^6*g2^6) + (2*g2^2*t^7.386)/g1^14 + (g1^6*t^7.435)/g2^10 - t^7.455/(g1^2*g2^2) + (5*g1^10*t^7.525)/g2^6 + 3*g1^2*g2^2*t^7.545 + (3*g2^10*t^7.565)/g1^6 + (2*g1^14*t^7.614)/g2^2 + 2*g1^6*g2^6*t^7.634 + (2*g2^14*t^7.655)/g1^2 + 2*g1^22*g2^6*t^7.794 + 2*g1^14*g2^14*t^7.814 + 2*g1^6*g2^22*t^7.834 + (3*t^7.969)/(g1^17*g2^9) + t^8.038/(g1^5*g2^13) + (3*t^8.128)/(g1*g2^9) - t^8.148/(g1^9*g2) - (g1^3*t^8.218)/g2^5 + (3*g2^3*t^8.238)/g1^5 - (3*g1^7*t^8.307)/g2 - (5*g2^7*t^8.327)/g1 + (2*g1^19*t^8.377)/g2^5 + 2*g1^11*g2^3*t^8.397 + 2*g1^3*g2^11*t^8.417 + g1^15*g2^7*t^8.486 + 2*g1^7*g2^15*t^8.506 + (2*g2^23*t^8.527)/g1 + g1^19*g2^11*t^8.576 + t^8.592/(g1^36*g2^4) + t^8.662/(g1^24*g2^8) + g1^23*g2^15*t^8.666 + g1^15*g2^23*t^8.686 + (4*t^8.731)/(g1^12*g2^12) + (g2^4*t^8.771)/g1^28 + t^8.801/g2^16 + (3*t^8.821)/(g1^8*g2^8) + t^8.841/g1^16 + (g1^12*t^8.87)/g2^20 - (g1^4*t^8.89)/g2^12 - (7*t^8.91)/(g1^4*g2^4) + (2*g2^12*t^8.951)/g1^20 + (g1^16*t^8.96)/g2^16 + (3*g1^8*t^8.98)/g2^8 - t^4.455/(g1^2*g2^2*y) - t^6.603/(g1^11*g2^3*y) - (g1*t^6.673)/(g2^7*y) + t^7.455/(g1^2*g2^2*y) + (g2^6*t^7.475)/(g1^10*y) + (g1^10*t^7.525)/(g2^6*y) + (2*g1^2*g2^2*t^7.545)/y + (g1^6*g2^6*t^7.634)/y + (2*t^8.058)/(g1^13*g2^5*y) + (2*t^8.128)/(g1*g2^9*y) + t^8.148/(g1^9*g2*y) + (3*g1^3*t^8.218)/(g2^5*y) + (3*g2^3*t^8.238)/(g1^5*y) + (2*g1^7*t^8.307)/(g2*y) + (2*g2^7*t^8.327)/(g1*y) + (g1^11*g2^3*t^8.397)/y + (g1^15*g2^7*t^8.486)/y + (g1^7*g2^15*t^8.506)/y - t^8.751/(g1^20*g2^4*y) - (g1^4*t^8.89)/(g2^12*y) + (3*t^8.91)/(g1^4*g2^4*y) + (g1^8*t^8.98)/(g2^8*y) - (t^4.455*y)/(g1^2*g2^2) - (t^6.603*y)/(g1^11*g2^3) - (g1*t^6.673*y)/g2^7 + (t^7.455*y)/(g1^2*g2^2) + (g2^6*t^7.475*y)/g1^10 + (g1^10*t^7.525*y)/g2^6 + 2*g1^2*g2^2*t^7.545*y + g1^6*g2^6*t^7.634*y + (2*t^8.058*y)/(g1^13*g2^5) + (2*t^8.128*y)/(g1*g2^9) + (t^8.148*y)/(g1^9*g2) + (3*g1^3*t^8.218*y)/g2^5 + (3*g2^3*t^8.238*y)/g1^5 + (2*g1^7*t^8.307*y)/g2 + (2*g2^7*t^8.327*y)/g1 + g1^11*g2^3*t^8.397*y + g1^15*g2^7*t^8.486*y + g1^7*g2^15*t^8.506*y - (t^8.751*y)/(g1^20*g2^4) - (g1^4*t^8.89*y)/g2^12 + (3*t^8.91*y)/(g1^4*g2^4) + (g1^8*t^8.98*y)/g2^8 |
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 |
---|---|---|---|---|---|---|---|---|
47039 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6243 | 0.8105 | 0.7702 | [M:[1.0, 0.9794, 0.7382, 0.7464, 1.0206, 1.0103], q:[0.7526, 0.2474], qb:[0.5092, 0.5114], phi:[0.4948]] | t^2.215 + t^2.239 + t^2.27 + t^2.276 + t^2.969 + t^3. + t^3.031 + t^3.062 + t^3.755 + t^3.792 + t^4.429 + t^4.454 + t^4.478 + t^4.485 + t^4.491 + t^4.509 + t^4.515 + 2*t^4.54 + 2*t^4.546 + 2*t^4.553 + t^5.184 + 2*t^5.239 + 2*t^5.245 + 2*t^5.27 + 2*t^5.276 + 2*t^5.301 + t^5.307 + t^5.332 + t^5.338 + t^5.938 + t^5.969 - 2*t^6. - t^4.485/y - t^4.485*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 |
---|---|---|---|---|---|---|---|---|---|
46172 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6348 | 0.8263 | 0.7683 | [M:[1.0, 0.8719, 0.6781, 0.7258], q:[0.766, 0.234], qb:[0.5559, 0.5722], phi:[0.468]] | t^2.034 + t^2.178 + t^2.37 + t^2.419 + t^2.616 + 2*t^2.808 + t^3. + t^3.774 + t^4.015 + t^4.069 + t^4.212 + t^4.355 + t^4.404 + t^4.453 + t^4.547 + t^4.596 + t^4.65 + 2*t^4.739 + 2*t^4.788 + t^4.793 + 2*t^4.837 + 2*t^4.842 + 2*t^4.985 + t^5.034 + 3*t^5.178 + 2*t^5.226 + t^5.232 + t^5.37 + t^5.419 + 2*t^5.424 + 4*t^5.616 + 2*t^5.808 - 3*t^6. - t^4.404/y - t^4.404*y | detail |