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 |
|---|---|---|---|---|---|---|---|---|---|
| 2833 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ | 0.6986 | 0.8555 | 0.8166 | [X:[1.3672], M:[0.9731, 0.6867, 1.0269, 0.6328, 0.9731, 0.9045], q:[0.4523, 0.5747], qb:[0.5208, 0.7925], phi:[0.4149]] | [X:[[0, 1]], M:[[8, -1], [-16, 1], [-8, 1], [0, -1], [8, -1], [-14, 0]], q:[[-7, 0], [-1, 1]], qb:[[15, -1], [1, 0]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$ | ${}$ | -3 | t^2.06 + t^2.49 + t^2.714 + 2*t^2.919 + t^3.734 + t^3.958 + t^4.102 + t^4.12 + t^4.164 + t^4.326 + t^4.37 + t^4.531 + t^4.55 + t^4.693 + t^4.774 + 3*t^4.979 + t^5.203 + 2*t^5.409 + t^5.427 + t^5.633 + 2*t^5.838 - 3*t^6. + t^6.018 + t^6.18 - t^6.206 + t^6.224 - t^6.367 + t^6.386 + 2*t^6.448 + t^6.591 + t^6.61 + 2*t^6.654 + t^6.672 + t^6.753 + t^6.815 + t^6.834 + t^6.859 + 2*t^6.878 + t^7.021 + 3*t^7.039 + 2*t^7.083 + t^7.182 + t^7.263 + 2*t^7.289 + 3*t^7.469 + t^7.487 - t^7.674 + 3*t^7.693 - t^7.88 + 4*t^7.898 + 2*t^7.917 - t^8.042 - 2*t^8.06 + t^8.078 + 2*t^8.122 + t^8.141 + t^8.24 - t^8.266 + t^8.284 + 3*t^8.328 + t^8.346 + t^8.446 - 3*t^8.49 + t^8.508 + t^8.534 + t^8.552 + t^8.651 + t^8.67 - t^8.695 - 2*t^8.714 + t^8.732 + t^8.739 + 2*t^8.758 + t^8.794 + t^8.813 - t^8.857 + t^8.875 + t^8.894 + t^8.901 - 6*t^8.919 + 3*t^8.938 - t^4.245/y - t^6.305/y - t^6.734/y - t^6.958/y - t^7.164/y + t^7.326/y + t^7.531/y + t^7.55/y + t^7.755/y + t^7.774/y + (2*t^7.979)/y + t^8.185/y + t^8.203/y - t^8.365/y + (2*t^8.409)/y + (2*t^8.633)/y + t^8.838/y - t^4.245*y - t^6.305*y - t^6.734*y - t^6.958*y - t^7.164*y + t^7.326*y + t^7.531*y + t^7.55*y + t^7.755*y + t^7.774*y + 2*t^7.979*y + t^8.185*y + t^8.203*y - t^8.365*y + 2*t^8.409*y + 2*t^8.633*y + t^8.838*y | (g2*t^2.06)/g1^16 + t^2.49/g1^4 + t^2.714/g1^14 + (2*g1^8*t^2.919)/g2 + t^3.734/g1^6 + t^3.958/g1^16 + g2*t^4.102 + (g2^2*t^4.12)/g1^32 + (g1^6*t^4.164)/g2 + (g2*t^4.326)/g1^10 + (g1^28*t^4.37)/g2^2 + g1^12*t^4.531 + (g2*t^4.55)/g1^20 + (g2^2*t^4.693)/g1^4 + (g2*t^4.774)/g1^30 + (3*t^4.979)/g1^8 + t^5.203/g1^18 + (2*g1^4*t^5.409)/g2 + t^5.427/g1^28 + t^5.633/(g1^6*g2) + (2*g1^16*t^5.838)/g2^2 - 3*t^6. + (g2*t^6.018)/g1^32 + (g2^3*t^6.18)/g1^48 - (g1^22*t^6.206)/g2 + t^6.224/g1^10 - g1^6*g2*t^6.367 + (g2^2*t^6.386)/g1^26 + (2*t^6.448)/g1^20 + (g2*t^6.591)/g1^4 + (g2^2*t^6.61)/g1^36 + (2*g1^2*t^6.654)/g2 + t^6.672/g1^30 + (g2^3*t^6.753)/g1^20 + (g2*t^6.815)/g1^14 + (g2^2*t^6.834)/g1^46 + (g1^24*t^6.859)/g2^2 + (2*t^6.878)/(g1^8*g2) + g1^8*t^7.021 + (3*g2*t^7.039)/g1^24 + (2*g1^14*t^7.083)/g2^2 + (g2^2*t^7.182)/g1^8 + (g2*t^7.263)/g1^34 + (2*g1^36*t^7.289)/g2^3 + (3*t^7.469)/g1^12 + (g2*t^7.487)/g1^44 - (g1^10*t^7.674)/g2 + (3*t^7.693)/g1^22 - (g1^32*t^7.88)/g2^2 + (4*t^7.898)/g2 + (2*t^7.917)/g1^32 - g1^16*t^8.042 - (2*g2*t^8.06)/g1^16 + (g2^2*t^8.078)/g1^48 + (2*t^8.122)/(g1^10*g2) + t^8.141/g1^42 + (g2^4*t^8.24)/g1^64 - g1^6*t^8.266 + (g2*t^8.284)/g1^26 + (3*g1^12*t^8.328)/g2^2 + t^8.346/(g1^20*g2) + (g2^3*t^8.446)/g1^42 - (3*t^8.49)/g1^4 + (g2*t^8.508)/g1^36 + (g1^34*t^8.534)/g2^3 + (g1^2*t^8.552)/g2^2 + (g2^2*t^8.651)/g1^20 + (g2^3*t^8.67)/g1^52 - (g1^18*t^8.695)/g2 - (2*t^8.714)/g1^14 + (g2*t^8.732)/g1^46 + (g1^56*t^8.739)/g2^4 + (2*g1^24*t^8.758)/g2^3 + (g2^3*t^8.794)/g1^4 + (g2^4*t^8.813)/g1^36 - g1^2*g2*t^8.857 + (g2^2*t^8.875)/g1^30 + (g2^3*t^8.894)/g1^62 + (g1^40*t^8.901)/g2^2 - (6*g1^8*t^8.919)/g2 + (3*t^8.938)/g1^24 - t^4.245/(g1^2*y) - (g2*t^6.305)/(g1^18*y) - t^6.734/(g1^6*y) - t^6.958/(g1^16*y) - (g1^6*t^7.164)/(g2*y) + (g2*t^7.326)/(g1^10*y) + (g1^12*t^7.531)/y + (g2*t^7.55)/(g1^20*y) + (g1^2*t^7.755)/y + (g2*t^7.774)/(g1^30*y) + (2*t^7.979)/(g1^8*y) + (g1^14*t^8.185)/(g2*y) + t^8.203/(g1^18*y) - (g2^2*t^8.365)/(g1^34*y) + (2*g1^4*t^8.409)/(g2*y) + (2*t^8.633)/(g1^6*g2*y) + (g1^16*t^8.838)/(g2^2*y) - (t^4.245*y)/g1^2 - (g2*t^6.305*y)/g1^18 - (t^6.734*y)/g1^6 - (t^6.958*y)/g1^16 - (g1^6*t^7.164*y)/g2 + (g2*t^7.326*y)/g1^10 + g1^12*t^7.531*y + (g2*t^7.55*y)/g1^20 + g1^2*t^7.755*y + (g2*t^7.774*y)/g1^30 + (2*t^7.979*y)/g1^8 + (g1^14*t^8.185*y)/g2 + (t^8.203*y)/g1^18 - (g2^2*t^8.365*y)/g1^34 + (2*g1^4*t^8.409*y)/g2 + (2*t^8.633*y)/(g1^6*g2) + (g1^16*t^8.838*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 |
|---|---|---|---|---|---|---|---|---|
| 3383 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{6}$ | 0.6914 | 0.8438 | 0.8194 | [X:[1.2806], M:[1.012, 0.6954, 0.988, 0.7194, 1.012, 0.988], q:[0.494, 0.494], qb:[0.518, 0.7866], phi:[0.4269]] | t^2.086 + t^2.561 + t^2.964 + 2*t^3.036 + 2*t^3.842 + t^4.172 + 3*t^4.245 + 2*t^4.317 + t^4.389 + t^4.647 + t^5.05 + 3*t^5.122 + t^5.525 + 2*t^5.597 + t^5.928 - 3*t^6. - t^4.281/y - t^4.281*y | detail | |
| 3384 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.7194 | 0.8963 | 0.8026 | [X:[1.3646], M:[0.9735, 0.6884, 1.0265, 0.6354, 0.9735, 0.9084, 0.6762], q:[0.4542, 0.5723], qb:[0.5193, 0.7923], phi:[0.4155]] | t^2.029 + t^2.065 + t^2.493 + t^2.725 + 2*t^2.92 + t^3.739 + t^4.057 + 2*t^4.094 + t^4.131 + t^4.167 + t^4.326 + t^4.362 + 2*t^4.521 + t^4.558 + t^4.681 + t^4.754 + t^4.79 + 2*t^4.949 + 3*t^4.986 + t^5.218 + 2*t^5.413 + t^5.45 + t^5.645 + t^5.768 + 2*t^5.841 - 3*t^6. - t^4.246/y - t^4.246*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1815 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.7133 | 0.8853 | 0.8057 | [M:[0.9782, 0.7152, 1.0218, 0.6716, 0.9782], q:[0.4817, 0.5401], qb:[0.4965, 0.7883], phi:[0.4234]] | t^2.015 + t^2.146 + t^2.54 + 2*t^2.935 + t^3.11 + t^3.81 + t^4.03 + 2*t^4.16 + t^4.205 + t^4.249 + t^4.291 + t^4.335 + t^4.38 + t^4.51 + t^4.555 + t^4.686 + 2*t^4.95 + 3*t^5.08 + t^5.125 + t^5.255 + 2*t^5.475 + t^5.65 + 2*t^5.869 - 3*t^6. - t^4.27/y - t^4.27*y | detail |