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 |
|---|---|---|---|---|---|---|---|---|---|
| 3377 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.6342 | 0.7831 | 0.8099 | [X:[1.6118], M:[0.8354, 0.7174, 1.1646, 0.3882, 0.8354, 0.7243, 1.2826], q:[0.3916, 0.773], qb:[0.4437, 0.8388], phi:[0.3882]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, 3], [2, -13], [0, 7]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | -2 | t^2.173 + t^2.329 + 2*t^2.506 + t^3.514 + t^3.65 + t^3.671 + t^3.691 + t^3.848 + t^4.346 + t^4.502 + t^4.658 + 2*t^4.679 + 3*t^4.835 + 3*t^5.012 + t^5.687 + t^5.844 + t^5.864 - 2*t^6. + 3*t^6.021 + t^6.156 + 2*t^6.177 + 2*t^6.198 + 2*t^6.354 + t^6.519 + t^6.675 + t^6.831 + 2*t^6.852 + 2*t^7.008 + t^7.029 - t^7.144 + t^7.165 + 2*t^7.185 + t^7.206 + t^7.3 - t^7.321 + 3*t^7.342 + t^7.362 + t^7.383 + 4*t^7.519 + t^7.539 + t^7.696 + t^7.86 + t^8.017 + t^8.037 - t^8.152 - 2*t^8.173 + 3*t^8.194 - 3*t^8.329 + 2*t^8.35 + 2*t^8.371 - t^8.486 - 5*t^8.506 + 5*t^8.527 + 3*t^8.683 + t^8.692 + 3*t^8.704 + t^8.848 + 3*t^8.86 - t^4.165/y - t^6.338/y - t^6.494/y - t^6.671/y + t^7.502/y + t^7.658/y + (2*t^7.679)/y + (3*t^7.835)/y + t^7.992/y + t^8.012/y - t^8.51/y - t^8.667/y + t^8.687/y + t^8.844/y + t^8.864/y + t^8.979/y - t^4.165*y - t^6.338*y - t^6.494*y - t^6.671*y + t^7.502*y + t^7.658*y + 2*t^7.679*y + 3*t^7.835*y + t^7.992*y + t^8.012*y - t^8.51*y - t^8.667*y + t^8.687*y + t^8.844*y + t^8.864*y + t^8.979*y | (g1^2*t^2.173)/g2^13 + t^2.329/g2^2 + 2*g2^3*t^2.506 + (g1^2*t^3.514)/g2^9 + (g2^8*t^3.65)/g1^2 + g2^2*t^3.671 + (g1^2*t^3.691)/g2^4 + g2^7*t^3.848 + (g1^4*t^4.346)/g2^26 + (g1^2*t^4.502)/g2^15 + t^4.658/g2^4 + (2*g1^2*t^4.679)/g2^10 + 3*g2*t^4.835 + 3*g2^6*t^5.012 + (g1^4*t^5.687)/g2^22 + (g1^2*t^5.844)/g2^11 + (g1^4*t^5.864)/g2^17 - 2*t^6. + (3*g1^2*t^6.021)/g2^6 + (g2^11*t^6.156)/g1^2 + 2*g2^5*t^6.177 + (2*g1^2*t^6.198)/g2 + 2*g2^10*t^6.354 + (g1^6*t^6.519)/g2^39 + (g1^4*t^6.675)/g2^28 + (g1^2*t^6.831)/g2^17 + (2*g1^4*t^6.852)/g2^23 + (2*g1^2*t^7.008)/g2^12 + (g1^4*t^7.029)/g2^18 - (g2^5*t^7.144)/g1^2 + t^7.165/g2 + (2*g1^2*t^7.185)/g2^7 + (g1^4*t^7.206)/g2^13 + (g2^16*t^7.3)/g1^4 - (g2^10*t^7.321)/g1^2 + 3*g2^4*t^7.342 + (g1^2*t^7.362)/g2^2 + (g1^4*t^7.383)/g2^8 + 4*g2^9*t^7.519 + g1^2*g2^3*t^7.539 + g2^14*t^7.696 + (g1^6*t^7.86)/g2^35 + (g1^4*t^8.017)/g2^24 + (g1^6*t^8.037)/g2^30 - t^8.152/g2^7 - (2*g1^2*t^8.173)/g2^13 + (3*g1^4*t^8.194)/g2^19 - (3*t^8.329)/g2^2 + (2*g1^2*t^8.35)/g2^8 + (2*g1^4*t^8.371)/g2^14 - (g2^9*t^8.486)/g1^2 - 5*g2^3*t^8.506 + (5*g1^2*t^8.527)/g2^3 + 3*g2^8*t^8.683 + (g1^8*t^8.692)/g2^52 + 3*g1^2*g2^2*t^8.704 + (g1^6*t^8.848)/g2^41 + 3*g2^13*t^8.86 - t^4.165/(g2*y) - (g1^2*t^6.338)/(g2^14*y) - t^6.494/(g2^3*y) - (g2^2*t^6.671)/y + (g1^2*t^7.502)/(g2^15*y) + t^7.658/(g2^4*y) + (2*g1^2*t^7.679)/(g2^10*y) + (3*g2*t^7.835)/y + (g2^12*t^7.992)/(g1^2*y) + (g2^6*t^8.012)/y - (g1^4*t^8.51)/(g2^27*y) - (g1^2*t^8.667)/(g2^16*y) + (g1^4*t^8.687)/(g2^22*y) + (g1^2*t^8.844)/(g2^11*y) + (g1^4*t^8.864)/(g2^17*y) + (g2^6*t^8.979)/(g1^2*y) - (t^4.165*y)/g2 - (g1^2*t^6.338*y)/g2^14 - (t^6.494*y)/g2^3 - g2^2*t^6.671*y + (g1^2*t^7.502*y)/g2^15 + (t^7.658*y)/g2^4 + (2*g1^2*t^7.679*y)/g2^10 + 3*g2*t^7.835*y + (g2^12*t^7.992*y)/g1^2 + g2^6*t^8.012*y - (g1^4*t^8.51*y)/g2^27 - (g1^2*t^8.667*y)/g2^16 + (g1^4*t^8.687*y)/g2^22 + (g1^2*t^8.844*y)/g2^11 + (g1^4*t^8.864*y)/g2^17 + (g2^6*t^8.979*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3851 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6338 | 0.781 | 0.8115 | [X:[1.6128], M:[0.8383, 0.7107, 1.1617, 0.3872, 0.8383, 0.7426, 1.2893], q:[0.4032, 0.7585], qb:[0.4351, 0.8542], phi:[0.3872]] | t^2.228 + t^2.323 + 2*t^2.515 + 2*t^3.581 + t^3.677 + t^3.772 + t^3.868 + t^4.456 + t^4.551 + t^4.647 + 2*t^4.743 + 3*t^4.838 + 3*t^5.03 + t^5.809 + t^5.904 - t^6. - t^4.162/y - t^4.162*y | detail | |
| 3852 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6165 | 0.7524 | 0.8195 | [X:[1.6094], M:[0.8283, 0.7339, 1.1717, 0.3906, 0.8283, 0.7323, 1.2661, 1.2189], q:[0.3897, 0.7819], qb:[0.4386, 0.8275], phi:[0.3906]] | t^2.197 + 2*t^2.485 + t^3.51 + t^3.652 + 2*t^3.657 + t^3.662 + t^3.798 + t^4.394 + 2*t^4.682 + t^4.828 + 3*t^4.97 + t^5.707 + t^5.849 + t^5.853 + 2*t^5.995 - 3*t^6. - t^4.172/y - t^4.172*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2831 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6546 | 0.8215 | 0.7969 | [X:[1.6145], M:[0.8434, 0.6986, 1.1566, 0.3855, 0.8434, 0.7153], q:[0.3939, 0.7627], qb:[0.4496, 0.8518], phi:[0.3855]] | t^2.096 + t^2.146 + t^2.313 + 2*t^2.53 + t^3.52 + t^3.637 + t^3.687 + t^3.737 + t^4.192 + t^4.242 + t^4.292 + t^4.409 + t^4.459 + 3*t^4.626 + 2*t^4.676 + 3*t^4.843 + 3*t^5.061 + t^5.616 + t^5.666 + t^5.733 + t^5.783 + 2*t^5.833 + t^5.883 - 2*t^6. - t^4.157/y - t^4.157*y | detail |