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 |
|---|---|---|---|---|---|---|---|---|---|
| 46214 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.7203 | 0.8807 | 0.8179 | [M:[0.9045, 1.0186, 0.9814, 0.7904], q:[0.6433, 0.4522], qb:[0.5292, 0.5663], phi:[0.4522]] | [M:[[-2, -2], [-1, 1], [1, -1], [-3, -5]], q:[[3, 3], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$ | ${}M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.371 + 2*t^2.713 + t^2.944 + t^3.056 + t^3.287 + t^3.517 + t^4.07 + t^4.301 + t^4.412 + t^4.532 + 2*t^4.643 + t^4.742 + t^4.755 + t^4.874 + t^4.986 + 2*t^5.085 + t^5.216 + t^5.316 + 3*t^5.427 + t^5.658 + t^5.889 - t^6. + t^6.231 - t^6.342 + t^6.441 + t^6.462 + t^6.672 + 2*t^6.784 + t^6.804 + t^6.903 + 3*t^7.014 + t^7.035 + t^7.114 + 2*t^7.126 + 3*t^7.245 + 3*t^7.357 + 2*t^7.456 + 2*t^7.468 + t^7.476 + 3*t^7.588 + t^7.687 + t^7.699 + 3*t^7.798 + t^7.81 + t^7.818 + t^7.93 + t^8.029 + t^8.049 + 4*t^8.14 + t^8.161 + t^8.26 - t^8.371 + t^8.391 + t^8.602 - 4*t^8.713 + t^8.734 + t^8.813 + 2*t^8.833 - 2*t^8.944 - t^4.357/y - t^6.728/y - (2*t^7.07)/y + (2*t^7.643)/y + t^7.986/y + (2*t^8.085)/y + t^8.316/y + (2*t^8.427)/y + (3*t^8.658)/y + (2*t^8.769)/y + t^8.889/y - t^4.357*y - t^6.728*y - 2*t^7.07*y + 2*t^7.643*y + t^7.986*y + 2*t^8.085*y + t^8.316*y + 2*t^8.427*y + 3*t^8.658*y + 2*t^8.769*y + t^8.889*y | t^2.371/(g1^3*g2^5) + (2*t^2.713)/(g1^2*g2^2) + (g1*t^2.944)/g2 + (g2*t^3.056)/g1 + g1^2*g2^2*t^3.287 + g1^5*g2^3*t^3.517 + t^4.07/(g1^3*g2^3) + t^4.301/g2^2 + t^4.412/g1^2 + (g1^3*t^4.532)/g2 + 2*g1*g2*t^4.643 + t^4.742/(g1^6*g2^10) + (g2^3*t^4.755)/g1 + g1^4*g2^2*t^4.874 + g1^2*g2^4*t^4.986 + (2*t^5.085)/(g1^5*g2^7) + g1^5*g2^5*t^5.216 + t^5.316/(g1^2*g2^6) + (3*t^5.427)/(g1^4*g2^4) + t^5.658/(g1*g2^3) + (g1^2*t^5.889)/g2^2 - t^6. + g1^3*g2*t^6.231 - g1*g2^3*t^6.342 + t^6.441/(g1^6*g2^8) + g1^6*g2^2*t^6.462 + t^6.672/(g1^3*g2^7) + (2*t^6.784)/(g1^5*g2^5) + g1^7*g2^5*t^6.804 + t^6.903/g2^6 + (3*t^7.014)/(g1^2*g2^4) + g1^10*g2^6*t^7.035 + t^7.114/(g1^9*g2^15) + (2*t^7.126)/(g1^4*g2^2) + (3*g1*t^7.245)/g2^3 + (3*t^7.357)/(g1*g2) + (2*t^7.456)/(g1^8*g2^12) + (2*g2*t^7.468)/g1^3 + (g1^4*t^7.476)/g2^2 + 3*g1^2*t^7.588 + t^7.687/(g1^5*g2^11) + g2^2*t^7.699 + (3*t^7.798)/(g1^7*g2^9) + (g2^4*t^7.81)/g1^2 + g1^5*g2*t^7.818 + g1^3*g2^3*t^7.93 + t^8.029/(g1^4*g2^8) + g1^8*g2^2*t^8.049 + (4*t^8.14)/(g1^6*g2^6) + g1^6*g2^4*t^8.161 + t^8.26/(g1*g2^7) - t^8.371/(g1^3*g2^5) + g1^9*g2^5*t^8.391 + t^8.602/g2^4 - (4*t^8.713)/(g1^2*g2^2) + g1^10*g2^8*t^8.734 + t^8.813/(g1^9*g2^13) + (2*g1^3*t^8.833)/g2^3 - (2*g1*t^8.944)/g2 - t^4.357/(g1*g2*y) - t^6.728/(g1^4*g2^6*y) - (2*t^7.07)/(g1^3*g2^3*y) + (2*g1*g2*t^7.643)/y + (g1^2*g2^4*t^7.986)/y + (2*t^8.085)/(g1^5*g2^7*y) + t^8.316/(g1^2*g2^6*y) + (2*t^8.427)/(g1^4*g2^4*y) + (3*t^8.658)/(g1*g2^3*y) + (2*t^8.769)/(g1^3*g2*y) + (g1^2*t^8.889)/(g2^2*y) - (t^4.357*y)/(g1*g2) - (t^6.728*y)/(g1^4*g2^6) - (2*t^7.07*y)/(g1^3*g2^3) + 2*g1*g2*t^7.643*y + g1^2*g2^4*t^7.986*y + (2*t^8.085*y)/(g1^5*g2^7) + (t^8.316*y)/(g1^2*g2^6) + (2*t^8.427*y)/(g1^4*g2^4) + (3*t^8.658*y)/(g1*g2^3) + (2*t^8.769*y)/(g1^3*g2) + (g1^2*t^8.889*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46400 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ | 0.6926 | 0.8476 | 0.8172 | [M:[0.9918, 0.9753, 1.0247, 1.0082], q:[0.5123, 0.4959], qb:[0.5288, 0.4795], phi:[0.4959]] | t^2.926 + 2*t^2.975 + 2*t^3.025 + t^3.074 + t^3.123 + t^4.364 + t^4.414 + 2*t^4.463 + 2*t^4.512 + 2*t^4.562 + t^4.611 + t^4.66 + 2*t^5.951 + t^6. - t^4.488/y - t^4.488*y | detail | |
| 46720 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ | 0.6954 | 0.8497 | 0.8184 | [M:[0.9793, 0.9586, 1.0414, 1.0], q:[0.5311, 0.4896], qb:[0.5518, 0.4689], phi:[0.4896]] | t^2.876 + 2*t^2.938 + t^3. + t^3.062 + t^3.124 + t^3.248 + t^4.283 + t^4.345 + t^4.407 + t^4.469 + 2*t^4.531 + t^4.593 + t^4.655 + t^4.717 + t^4.78 + 3*t^5.876 + t^5.938 - t^4.469/y - t^4.469*y | detail | |
| 46718 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6343 | 0.7825 | 0.8106 | [M:[0.8386, 0.7904, 1.2096, 0.8867], q:[0.7422, 0.4193], qb:[0.7904, 0.3711], phi:[0.4193]] | t^2.371 + 2*t^2.516 + t^2.66 + 2*t^3.484 + 2*t^3.629 + t^3.773 + 2*t^4.598 + 2*t^4.742 + t^4.887 + 3*t^5.031 + 2*t^5.176 + t^5.32 + t^5.711 + t^5.855 + 2*t^6. - t^4.258/y - t^4.258*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46050 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ | 0.7051 | 0.8546 | 0.8251 | [M:[0.9277, 1.0, 1.0], q:[0.6084, 0.4639], qb:[0.5361, 0.5361], phi:[0.4639]] | 2*t^2.783 + 2*t^3. + t^3.217 + 2*t^3.434 + t^4.175 + 2*t^4.392 + 4*t^4.608 + 2*t^4.825 + t^5.042 + 2*t^5.566 - t^6. - t^4.392/y - t^4.392*y | detail |