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 |
---|---|---|---|---|---|---|---|---|---|
46643 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6465 | 0.8511 | 0.7596 | [M:[0.7263, 0.6947, 1.0, 0.7263], q:[0.7579, 0.5158], qb:[0.5474, 0.2421], phi:[0.4842]] | [M:[[3], [7], [0], [3]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -2 | t^2.084 + 2*t^2.179 + t^2.274 + t^2.368 + 2*t^2.905 + t^3. + t^3.19 + t^3.726 + t^4.168 + 2*t^4.263 + 4*t^4.358 + 3*t^4.453 + 4*t^4.547 + 2*t^4.642 + 2*t^4.737 + 2*t^4.989 + 4*t^5.084 + 3*t^5.179 + 4*t^5.274 + 3*t^5.368 + t^5.463 + t^5.558 + 4*t^5.81 + 2*t^5.905 - 2*t^6. + t^6.095 + t^6.253 + 2*t^6.347 + t^6.379 + 4*t^6.442 + 6*t^6.537 + 7*t^6.632 + 7*t^6.726 + 4*t^6.821 + 5*t^6.916 + 2*t^7.011 + 2*t^7.074 + 2*t^7.105 + 4*t^7.168 + 7*t^7.263 + 7*t^7.358 + 9*t^7.453 + 6*t^7.547 + 5*t^7.642 + 4*t^7.737 + t^7.832 + 4*t^7.895 + 2*t^7.926 + 6*t^7.989 + t^8.084 - t^8.179 - t^8.274 + t^8.337 - 5*t^8.368 + 2*t^8.431 + 4*t^8.526 + t^8.558 + 6*t^8.621 + t^8.653 + 15*t^8.716 + t^8.747 + 10*t^8.81 + 4*t^8.905 - t^4.453/y - t^6.537/y - (2*t^6.632)/y + (2*t^7.263)/y + t^7.358/y + (3*t^7.453)/y + (3*t^7.547)/y + t^7.642/y + (2*t^7.989)/y + (5*t^8.084)/y + (4*t^8.179)/y + (6*t^8.274)/y + (4*t^8.368)/y + t^8.463/y + t^8.558/y - t^8.621/y - (2*t^8.716)/y - t^8.81/y + (4*t^8.905)/y - t^4.453*y - t^6.537*y - 2*t^6.632*y + 2*t^7.263*y + t^7.358*y + 3*t^7.453*y + 3*t^7.547*y + t^7.642*y + 2*t^7.989*y + 5*t^8.084*y + 4*t^8.179*y + 6*t^8.274*y + 4*t^8.368*y + t^8.463*y + t^8.558*y - t^8.621*y - 2*t^8.716*y - t^8.81*y + 4*t^8.905*y | g1^7*t^2.084 + 2*g1^3*t^2.179 + t^2.274/g1 + t^2.368/g1^5 + 2*g1^4*t^2.905 + t^3. + t^3.19/g1^8 + g1*t^3.726 + g1^14*t^4.168 + 2*g1^10*t^4.263 + 4*g1^6*t^4.358 + 3*g1^2*t^4.453 + (4*t^4.547)/g1^2 + (2*t^4.642)/g1^6 + (2*t^4.737)/g1^10 + 2*g1^11*t^4.989 + 4*g1^7*t^5.084 + 3*g1^3*t^5.179 + (4*t^5.274)/g1 + (3*t^5.368)/g1^5 + t^5.463/g1^9 + t^5.558/g1^13 + 4*g1^8*t^5.81 + 2*g1^4*t^5.905 - 2*t^6. + t^6.095/g1^4 + g1^21*t^6.253 + 2*g1^17*t^6.347 + t^6.379/g1^16 + 4*g1^13*t^6.442 + 6*g1^9*t^6.537 + 7*g1^5*t^6.632 + 7*g1*t^6.726 + (4*t^6.821)/g1^3 + (5*t^6.916)/g1^7 + (2*t^7.011)/g1^11 + 2*g1^18*t^7.074 + (2*t^7.105)/g1^15 + 4*g1^14*t^7.168 + 7*g1^10*t^7.263 + 7*g1^6*t^7.358 + 9*g1^2*t^7.453 + (6*t^7.547)/g1^2 + (5*t^7.642)/g1^6 + (4*t^7.737)/g1^10 + t^7.832/g1^14 + 4*g1^15*t^7.895 + (2*t^7.926)/g1^18 + 6*g1^11*t^7.989 + g1^7*t^8.084 - g1^3*t^8.179 - t^8.274/g1 + g1^28*t^8.337 - (5*t^8.368)/g1^5 + 2*g1^24*t^8.431 + 4*g1^20*t^8.526 + t^8.558/g1^13 + 6*g1^16*t^8.621 + t^8.653/g1^17 + 15*g1^12*t^8.716 + t^8.747/g1^21 + 10*g1^8*t^8.81 + 4*g1^4*t^8.905 - (g1^2*t^4.453)/y - (g1^9*t^6.537)/y - (2*g1^5*t^6.632)/y + (2*g1^10*t^7.263)/y + (g1^6*t^7.358)/y + (3*g1^2*t^7.453)/y + (3*t^7.547)/(g1^2*y) + t^7.642/(g1^6*y) + (2*g1^11*t^7.989)/y + (5*g1^7*t^8.084)/y + (4*g1^3*t^8.179)/y + (6*t^8.274)/(g1*y) + (4*t^8.368)/(g1^5*y) + t^8.463/(g1^9*y) + t^8.558/(g1^13*y) - (g1^16*t^8.621)/y - (2*g1^12*t^8.716)/y - (g1^8*t^8.81)/y + (4*g1^4*t^8.905)/y - g1^2*t^4.453*y - g1^9*t^6.537*y - 2*g1^5*t^6.632*y + 2*g1^10*t^7.263*y + g1^6*t^7.358*y + 3*g1^2*t^7.453*y + (3*t^7.547*y)/g1^2 + (t^7.642*y)/g1^6 + 2*g1^11*t^7.989*y + 5*g1^7*t^8.084*y + 4*g1^3*t^8.179*y + (6*t^8.274*y)/g1 + (4*t^8.368*y)/g1^5 + (t^8.463*y)/g1^9 + (t^8.558*y)/g1^13 - g1^16*t^8.621*y - 2*g1^12*t^8.716*y - g1^8*t^8.81*y + 4*g1^4*t^8.905*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 |
---|---|---|---|---|---|---|---|---|
47237 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6442 | 0.847 | 0.7605 | [M:[0.7366, 0.7187, 1.0, 0.7366, 1.0179], q:[0.7545, 0.5089], qb:[0.5268, 0.2455], phi:[0.4911]] | t^2.156 + 2*t^2.21 + t^2.263 + t^2.317 + t^2.946 + t^3. + t^3.054 + t^3.107 + t^3.737 + t^4.312 + 2*t^4.366 + 4*t^4.42 + 3*t^4.473 + 4*t^4.527 + 2*t^4.58 + 2*t^4.634 + t^5.103 + 2*t^5.156 + 3*t^5.21 + 5*t^5.263 + 4*t^5.317 + 2*t^5.371 + t^5.424 + 2*t^5.893 + t^5.946 - t^6. - t^4.473/y - t^4.473*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 |
---|---|---|---|---|---|---|---|---|---|
46277 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6266 | 0.8141 | 0.7697 | [M:[0.7289, 0.7009, 1.0], q:[0.757, 0.514], qb:[0.5421, 0.243], phi:[0.486]] | t^2.103 + t^2.187 + t^2.271 + t^2.355 + 2*t^2.916 + t^3. + t^3.169 + t^3.729 + t^3.813 + t^4.205 + t^4.289 + 2*t^4.374 + 2*t^4.458 + 3*t^4.542 + 2*t^4.626 + 2*t^4.711 + 2*t^5.018 + 2*t^5.103 + 2*t^5.187 + 4*t^5.271 + 2*t^5.355 + t^5.44 + t^5.524 + 4*t^5.831 + 2*t^5.916 - t^6. - t^4.458/y - t^4.458*y | detail |