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 |
---|---|---|---|---|---|---|---|---|---|
46054 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6689 | 0.8348 | 0.8013 | [M:[0.6952, 0.6952, 0.702], q:[0.4794, 0.8253], qb:[0.8253, 0.4727], phi:[0.3493]] | [M:[[-7, 1], [-7, 1], [-1, -1]], q:[[6, -1], [1, 0]], qb:[[1, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$ | -1 | 2*t^2.086 + t^2.096 + t^2.106 + t^2.856 + t^3.884 + t^3.894 + t^3.904 + t^3.924 + 3*t^4.171 + 2*t^4.182 + 3*t^4.192 + t^4.202 + t^4.212 + 2*t^4.942 + 2*t^4.952 + t^4.962 + t^5.713 + 2*t^5.97 + 2*t^5.98 + 2*t^5.99 - t^6. + t^6.01 + t^6.03 + 4*t^6.257 + 3*t^6.267 + 5*t^6.277 + 3*t^6.287 + 3*t^6.298 + t^6.308 + t^6.318 + t^6.74 + t^6.75 + t^6.76 + t^6.781 + 2*t^7.028 + 2*t^7.038 + 2*t^7.048 + t^7.768 + t^7.778 + t^7.788 + t^7.798 + t^7.808 + t^7.849 + 3*t^8.055 + 3*t^8.065 + 3*t^8.076 - 3*t^8.086 - 3*t^8.106 + t^8.116 + t^8.136 + 5*t^8.343 + 4*t^8.353 + 7*t^8.363 + 5*t^8.373 + 6*t^8.383 + 3*t^8.393 + 3*t^8.404 + t^8.414 + t^8.424 + t^8.569 + 2*t^8.826 + 2*t^8.836 + t^8.846 - 2*t^8.856 - t^8.866 + t^8.887 - t^4.048/y - (2*t^6.134)/y - t^6.144/y - t^6.154/y + t^7.171/y + (2*t^7.182)/y + (2*t^7.192)/y + t^7.202/y + (3*t^7.942)/y + (2*t^7.952)/y + (3*t^7.962)/y - (3*t^8.219)/y - (2*t^8.229)/y - (3*t^8.24)/y - t^8.25/y - t^8.26/y + (2*t^8.97)/y + (3*t^8.98)/y + (4*t^8.99)/y - t^4.048*y - 2*t^6.134*y - t^6.144*y - t^6.154*y + t^7.171*y + 2*t^7.182*y + 2*t^7.192*y + t^7.202*y + 3*t^7.942*y + 2*t^7.952*y + 3*t^7.962*y - 3*t^8.219*y - 2*t^8.229*y - 3*t^8.24*y - t^8.25*y - t^8.26*y + 2*t^8.97*y + 3*t^8.98*y + 4*t^8.99*y | (2*g2*t^2.086)/g1^7 + t^2.096/g1^4 + t^2.106/(g1*g2) + g1^6*t^2.856 + (g2^2*t^3.884)/g1^2 + g1*g2*t^3.894 + g1^4*t^3.904 + (g1^10*t^3.924)/g2^2 + (3*g2^2*t^4.171)/g1^14 + (2*g2*t^4.182)/g1^11 + (3*t^4.192)/g1^8 + t^4.202/(g1^5*g2) + t^4.212/(g1^2*g2^2) + (2*g2*t^4.942)/g1 + 2*g1^2*t^4.952 + (g1^5*t^4.962)/g2 + g1^12*t^5.713 + (2*g2^3*t^5.97)/g1^9 + (2*g2^2*t^5.98)/g1^6 + (2*g2*t^5.99)/g1^3 - t^6. + (g1^3*t^6.01)/g2 + (g1^9*t^6.03)/g2^3 + (4*g2^3*t^6.257)/g1^21 + (3*g2^2*t^6.267)/g1^18 + (5*g2*t^6.277)/g1^15 + (3*t^6.287)/g1^12 + (3*t^6.298)/(g1^9*g2) + t^6.308/(g1^6*g2^2) + t^6.318/(g1^3*g2^3) + g1^4*g2^2*t^6.74 + g1^7*g2*t^6.75 + g1^10*t^6.76 + (g1^16*t^6.781)/g2^2 + (2*g2^2*t^7.028)/g1^8 + (2*g2*t^7.038)/g1^5 + (2*t^7.048)/g1^2 + (g2^4*t^7.768)/g1^4 + (g2^3*t^7.778)/g1 + g1^2*g2^2*t^7.788 + g1^5*g2*t^7.798 + g1^8*t^7.808 + (g1^20*t^7.849)/g2^4 + (3*g2^4*t^8.055)/g1^16 + (3*g2^3*t^8.065)/g1^13 + (3*g2^2*t^8.076)/g1^10 - (3*g2*t^8.086)/g1^7 - (3*t^8.106)/(g1*g2) + (g1^2*t^8.116)/g2^2 + (g1^8*t^8.136)/g2^4 + (5*g2^4*t^8.343)/g1^28 + (4*g2^3*t^8.353)/g1^25 + (7*g2^2*t^8.363)/g1^22 + (5*g2*t^8.373)/g1^19 + (6*t^8.383)/g1^16 + (3*t^8.393)/(g1^13*g2) + (3*t^8.404)/(g1^10*g2^2) + t^8.414/(g1^7*g2^3) + t^8.424/(g1^4*g2^4) + g1^18*t^8.569 + (2*g2^3*t^8.826)/g1^3 + 2*g2^2*t^8.836 + g1^3*g2*t^8.846 - 2*g1^6*t^8.856 - (g1^9*t^8.866)/g2 + (g1^15*t^8.887)/g2^3 - t^4.048/(g1^2*y) - (2*g2*t^6.134)/(g1^9*y) - t^6.144/(g1^6*y) - t^6.154/(g1^3*g2*y) + (g2^2*t^7.171)/(g1^14*y) + (2*g2*t^7.182)/(g1^11*y) + (2*t^7.192)/(g1^8*y) + t^7.202/(g1^5*g2*y) + (3*g2*t^7.942)/(g1*y) + (2*g1^2*t^7.952)/y + (3*g1^5*t^7.962)/(g2*y) - (3*g2^2*t^8.219)/(g1^16*y) - (2*g2*t^8.229)/(g1^13*y) - (3*t^8.24)/(g1^10*y) - t^8.25/(g1^7*g2*y) - t^8.26/(g1^4*g2^2*y) + (2*g2^3*t^8.97)/(g1^9*y) + (3*g2^2*t^8.98)/(g1^6*y) + (4*g2*t^8.99)/(g1^3*y) - (t^4.048*y)/g1^2 - (2*g2*t^6.134*y)/g1^9 - (t^6.144*y)/g1^6 - (t^6.154*y)/(g1^3*g2) + (g2^2*t^7.171*y)/g1^14 + (2*g2*t^7.182*y)/g1^11 + (2*t^7.192*y)/g1^8 + (t^7.202*y)/(g1^5*g2) + (3*g2*t^7.942*y)/g1 + 2*g1^2*t^7.952*y + (3*g1^5*t^7.962*y)/g2 - (3*g2^2*t^8.219*y)/g1^16 - (2*g2*t^8.229*y)/g1^13 - (3*t^8.24*y)/g1^10 - (t^8.25*y)/(g1^7*g2) - (t^8.26*y)/(g1^4*g2^2) + (2*g2^3*t^8.97*y)/g1^9 + (3*g2^2*t^8.98*y)/g1^6 + (4*g2*t^8.99*y)/g1^3 |
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
45872 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0.669 | 0.8353 | 0.8009 | [M:[0.7026, 0.6881, 0.6965], q:[0.4795, 0.8179], qb:[0.8324, 0.4712], phi:[0.3498]] | t^2.064 + t^2.089 + t^2.099 + t^2.108 + t^2.852 + t^3.867 + t^3.876 + t^3.901 + t^3.926 + t^4.129 + t^4.154 + t^4.163 + t^4.172 + t^4.179 + t^4.188 + 2*t^4.197 + t^4.206 + t^4.216 + t^4.916 + t^4.941 + 2*t^4.951 + t^4.96 + t^5.704 + t^5.931 + t^5.941 + t^5.956 + 2*t^5.966 + t^5.975 + t^5.984 + t^5.991 - 2*t^6. - t^4.049/y - t^4.049*y | detail |