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 |
|---|---|---|---|---|---|---|---|---|---|
| 709 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6779 | 0.8345 | 0.8124 | [M:[0.9891, 1.1291, 0.93, 0.8709, 0.7527], q:[0.7823, 0.4059], qb:[0.605, 0.465], phi:[0.4355]] | [M:[[32], [-12], [22], [12], [-8]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$ | ${}$ | -2 | t^2.258 + 2*t^2.613 + t^2.79 + t^2.967 + t^3.565 + t^3.742 + t^3.919 + t^4.096 + t^4.162 + t^4.339 + 2*t^4.516 + 2*t^4.871 + t^4.936 + t^5.048 + 4*t^5.226 + t^5.403 + 2*t^5.58 + t^5.757 + t^5.935 - 2*t^6. + t^6.177 + 3*t^6.355 + 3*t^6.532 + 3*t^6.709 + 2*t^6.774 + t^6.887 + t^6.952 + t^7.064 + 3*t^7.129 + t^7.194 + t^7.306 + 4*t^7.484 + t^7.549 + 2*t^7.661 + 7*t^7.838 + 3*t^8.016 + t^8.081 + 4*t^8.193 - 2*t^8.258 + 2*t^8.37 - t^8.435 + t^8.501 + 2*t^8.548 - 3*t^8.613 + t^8.678 + t^8.725 - t^8.79 + t^8.902 + t^8.967 - t^4.306/y - t^6.565/y - t^6.919/y - t^7.096/y - t^7.274/y + t^7.339/y + t^7.516/y + t^7.694/y + (2*t^7.871)/y + (2*t^8.048)/y + (2*t^8.226)/y + (2*t^8.403)/y + (2*t^8.58)/y + t^8.757/y - t^4.306*y - t^6.565*y - t^6.919*y - t^7.096*y - t^7.274*y + t^7.339*y + t^7.516*y + t^7.694*y + 2*t^7.871*y + 2*t^8.048*y + 2*t^8.226*y + 2*t^8.403*y + 2*t^8.58*y + t^8.757*y | t^2.258/g1^8 + 2*g1^12*t^2.613 + g1^22*t^2.79 + g1^32*t^2.967 + t^3.565/g1^2 + g1^8*t^3.742 + g1^18*t^3.919 + g1^28*t^4.096 + t^4.162/g1^36 + t^4.339/g1^26 + (2*t^4.516)/g1^16 + 2*g1^4*t^4.871 + t^4.936/g1^60 + g1^14*t^5.048 + 4*g1^24*t^5.226 + g1^34*t^5.403 + 2*g1^44*t^5.58 + g1^54*t^5.757 + g1^64*t^5.935 - 2*t^6. + g1^10*t^6.177 + 3*g1^20*t^6.355 + 3*g1^30*t^6.532 + 3*g1^40*t^6.709 + (2*t^6.774)/g1^24 + g1^50*t^6.887 + t^6.952/g1^14 + g1^60*t^7.064 + (3*t^7.129)/g1^4 + t^7.194/g1^68 + g1^6*t^7.306 + 4*g1^16*t^7.484 + t^7.549/g1^48 + 2*g1^26*t^7.661 + 7*g1^36*t^7.838 + 3*g1^46*t^8.016 + t^8.081/g1^18 + 4*g1^56*t^8.193 - (2*t^8.258)/g1^8 + 2*g1^66*t^8.37 - g1^2*t^8.435 + t^8.501/g1^62 + 2*g1^76*t^8.548 - 3*g1^12*t^8.613 + t^8.678/g1^52 + g1^86*t^8.725 - g1^22*t^8.79 + g1^96*t^8.902 + g1^32*t^8.967 - (g1^6*t^4.306)/y - t^6.565/(g1^2*y) - (g1^18*t^6.919)/y - (g1^28*t^7.096)/y - (g1^38*t^7.274)/y + t^7.339/(g1^26*y) + t^7.516/(g1^16*y) + t^7.694/(g1^6*y) + (2*g1^4*t^7.871)/y + (2*g1^14*t^8.048)/y + (2*g1^24*t^8.226)/y + (2*g1^34*t^8.403)/y + (2*g1^44*t^8.58)/y + (g1^54*t^8.757)/y - g1^6*t^4.306*y - (t^6.565*y)/g1^2 - g1^18*t^6.919*y - g1^28*t^7.096*y - g1^38*t^7.274*y + (t^7.339*y)/g1^26 + (t^7.516*y)/g1^16 + (t^7.694*y)/g1^6 + 2*g1^4*t^7.871*y + 2*g1^14*t^8.048*y + 2*g1^24*t^8.226*y + 2*g1^34*t^8.403*y + 2*g1^44*t^8.58*y + g1^54*t^8.757*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 |
|---|---|---|---|---|---|---|---|---|
| 1157 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.6758 | 0.8309 | 0.8133 | [M:[1.037, 1.1111, 0.963, 0.8889, 0.7407], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | t^2.222 + 2*t^2.667 + t^2.889 + t^3.111 + t^3.556 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + t^4.667 + 2*t^4.889 + t^5.111 + 4*t^5.333 + t^5.556 + 2*t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 23647/34992, c: 14537/17496, M1: 28/27, M2: 10/9, M3: 26/27, M4: 8/9, M5: 20/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
| 1158 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6792 | 0.8367 | 0.8118 | [M:[1.0385, 1.1106, 0.964, 0.8894, 0.7404, 0.9615], q:[0.7776, 0.4075], qb:[0.554, 0.482], phi:[0.4447]] | t^2.221 + 2*t^2.668 + t^2.884 + t^2.892 + t^3.555 + t^3.779 + t^3.995 + t^4.002 + t^4.219 + t^4.226 + 2*t^4.442 + t^4.658 + 2*t^4.889 + t^5.106 + t^5.113 + 3*t^5.337 + 2*t^5.553 + t^5.56 + t^5.769 + t^5.776 - 2*t^6. - t^4.334/y - t^4.334*y | detail | |
| 1159 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6969 | 0.8688 | 0.8021 | [M:[0.9948, 1.127, 0.9339, 0.873, 0.7513, 0.7513], q:[0.7817, 0.4061], qb:[0.5992, 0.4669], phi:[0.4365]] | 2*t^2.254 + 2*t^2.619 + t^2.802 + t^2.984 + t^3.563 + t^3.929 + t^4.111 + t^4.143 + t^4.325 + 4*t^4.508 + 4*t^4.873 + t^4.904 + 2*t^5.056 + 5*t^5.238 + t^5.421 + 2*t^5.603 + t^5.786 + t^5.817 + t^5.969 - 3*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 424 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6815 | 0.8422 | 0.8091 | [M:[0.9604, 1.1268, 0.9689, 0.8732, 0.6818], q:[0.7817, 0.4408], qb:[0.5988, 0.4324], phi:[0.4366]] | t^2.045 + 2*t^2.62 + t^2.881 + t^2.907 + t^3.642 + t^3.668 + t^3.904 + t^3.929 + t^4.091 + t^4.141 + t^4.403 + t^4.429 + 2*t^4.665 + t^4.902 + t^4.927 + t^4.952 + 3*t^5.239 + t^5.501 + t^5.526 + t^5.687 + t^5.713 + t^5.763 + t^5.788 + t^5.813 + t^5.949 - 3*t^6. - t^4.31/y - t^4.31*y | detail |