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 |
|---|---|---|---|---|---|---|---|---|---|
| 5412 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{8}$ | 0.602 | 0.7519 | 0.8006 | [X:[1.3384], M:[0.6616, 1.1128, 0.812, 1.0376, 0.9624, 1.188, 0.6692, 1.0376], q:[0.7782, 0.5602], qb:[0.6278, 0.2594], phi:[0.4436]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [20], [18], [4]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.008 + t^2.459 + t^2.662 + 2*t^3.113 + t^3.338 + t^3.564 + t^3.79 + 2*t^4.015 + t^4.218 + t^4.466 + t^4.669 + t^4.692 + t^4.918 + 3*t^5.12 + t^5.323 + t^5.346 + 3*t^5.572 + t^5.774 + t^5.797 - 2*t^6. + 3*t^6.023 - t^6.203 + 3*t^6.226 + t^6.248 - t^6.428 + t^6.451 + 2*t^6.474 - t^6.654 + 4*t^6.677 + t^6.7 + t^6.902 + t^6.925 - 2*t^7.105 + 5*t^7.128 + t^7.151 + 3*t^7.354 + t^7.376 - t^7.534 - t^7.556 + 5*t^7.579 + t^7.782 + 3*t^7.805 - 3*t^8.008 + 6*t^8.03 - 2*t^8.21 + 4*t^8.233 + 2*t^8.256 - 2*t^8.459 + 4*t^8.482 + t^8.639 - 4*t^8.662 + 5*t^8.684 + 3*t^8.707 - t^8.864 - t^8.887 + t^8.91 + 2*t^8.933 - t^4.331/y - t^6.338/y + t^7.218/y - t^7.444/y + t^7.466/y + t^7.669/y + (3*t^8.12)/y + t^8.323/y + (3*t^8.572)/y + (2*t^8.774)/y + (2*t^8.797)/y - t^4.331*y - t^6.338*y + t^7.218*y - t^7.444*y + t^7.466*y + t^7.669*y + 3*t^8.12*y + t^8.323*y + 3*t^8.572*y + 2*t^8.774*y + 2*t^8.797*y | g1^18*t^2.008 + g1^34*t^2.459 + t^2.662/g1^12 + 2*g1^4*t^3.113 + g1^12*t^3.338 + g1^20*t^3.564 + g1^28*t^3.79 + 2*g1^36*t^4.015 + t^4.218/g1^10 + g1^52*t^4.466 + g1^6*t^4.669 + g1^60*t^4.692 + g1^68*t^4.918 + 3*g1^22*t^5.12 + t^5.323/g1^24 + g1^30*t^5.346 + 3*g1^38*t^5.572 + t^5.774/g1^8 + g1^46*t^5.797 - 2*t^6. + 3*g1^54*t^6.023 - t^6.203/g1^46 + 3*g1^8*t^6.226 + g1^62*t^6.248 - t^6.428/g1^38 + g1^16*t^6.451 + 2*g1^70*t^6.474 - t^6.654/g1^30 + 4*g1^24*t^6.677 + g1^78*t^6.7 + g1^32*t^6.902 + g1^86*t^6.925 - (2*t^7.105)/g1^14 + 5*g1^40*t^7.128 + g1^94*t^7.151 + 3*g1^48*t^7.354 + g1^102*t^7.376 - t^7.534/g1^52 - g1^2*t^7.556 + 5*g1^56*t^7.579 + g1^10*t^7.782 + 3*g1^64*t^7.805 - 3*g1^18*t^8.008 + 6*g1^72*t^8.03 - (2*t^8.21)/g1^28 + 4*g1^26*t^8.233 + 2*g1^80*t^8.256 - 2*g1^34*t^8.459 + 4*g1^88*t^8.482 + t^8.639/g1^66 - (4*t^8.662)/g1^12 + 5*g1^42*t^8.684 + 3*g1^96*t^8.707 - t^8.864/g1^58 - t^8.887/g1^4 + g1^50*t^8.91 + 2*g1^104*t^8.933 - t^4.331/(g1^6*y) - (g1^12*t^6.338)/y + t^7.218/(g1^10*y) - t^7.444/(g1^2*y) + (g1^52*t^7.466)/y + (g1^6*t^7.669)/y + (3*g1^22*t^8.12)/y + t^8.323/(g1^24*y) + (3*g1^38*t^8.572)/y + (2*t^8.774)/(g1^8*y) + (2*g1^46*t^8.797)/y - (t^4.331*y)/g1^6 - g1^12*t^6.338*y + (t^7.218*y)/g1^10 - (t^7.444*y)/g1^2 + g1^52*t^7.466*y + g1^6*t^7.669*y + 3*g1^22*t^8.12*y + (t^8.323*y)/g1^24 + 3*g1^38*t^8.572*y + (2*t^8.774*y)/g1^8 + 2*g1^46*t^8.797*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 |
|---|---|---|---|---|---|---|---|---|
| 6898 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{2}M_{9}$ | 0.6124 | 0.7678 | 0.7976 | [X:[1.3556], M:[0.6444, 1.1185, 0.8025, 1.0395, 0.9605, 1.1975, 0.6778, 1.0395, 0.8815], q:[0.7796, 0.5759], qb:[0.6216, 0.2599], phi:[0.4407]] | t^2.033 + t^2.507 + 2*t^2.644 + 2*t^3.119 + t^3.593 + t^3.83 + 2*t^4.067 + t^4.204 + t^4.541 + 2*t^4.678 + t^4.778 + t^5.015 + 4*t^5.152 + 3*t^5.289 + 3*t^5.626 + 3*t^5.763 - 3*t^6. - t^4.322/y - t^4.322*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3816 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6056 | 0.7571 | 0.7998 | [X:[1.3448], M:[0.6552, 1.1149, 0.8084, 1.0383, 0.9617, 1.1916, 0.6724], q:[0.7787, 0.5661], qb:[0.6255, 0.2596], phi:[0.4425]] | t^2.017 + t^2.477 + t^2.655 + t^2.885 + t^3.115 + t^3.345 + t^3.575 + t^3.805 + 2*t^4.034 + t^4.213 + t^4.494 + t^4.672 + t^4.724 + t^4.902 + t^4.954 + 2*t^5.132 + t^5.31 + 2*t^5.362 + t^5.54 + 2*t^5.592 + t^5.77 + t^5.822 - t^6. - t^4.328/y - t^4.328*y | detail |