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 |
---|---|---|---|---|---|---|---|---|---|
4962 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.6565 | 0.8236 | 0.7971 | [X:[1.5507], M:[0.4493, 1.1836, 0.7753, 0.8986, 0.8164, 0.8575, 1.1014, 0.7342], q:[0.7959, 0.7548], qb:[0.4699, 0.3466], phi:[0.4082]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-4], [-14], [24], [16]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}^{2}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }M_{6}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}M_{8}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -3 | t^2.203 + t^2.326 + 2*t^2.449 + t^2.573 + 2*t^3.304 + t^3.674 + t^4.044 + t^4.405 + 2*t^4.529 + 4*t^4.652 + 2*t^4.775 + 5*t^4.899 + 2*t^5.022 + 2*t^5.507 + t^5.63 + 5*t^5.753 + 2*t^5.877 - 3*t^6. + t^6.123 + t^6.247 - t^6.37 + 2*t^6.493 + 4*t^6.608 + t^6.617 + 2*t^6.731 + 2*t^6.855 + 6*t^6.978 + 6*t^7.101 + 2*t^7.225 + 7*t^7.348 + 4*t^7.471 - 2*t^7.595 + 2*t^7.709 + t^7.718 + 3*t^7.833 + 7*t^7.956 + t^8.079 + t^8.088 + 5*t^8.203 + t^8.326 - 9*t^8.449 - 2*t^8.573 + t^8.696 + 4*t^8.811 - 2*t^8.819 + 3*t^8.934 + 3*t^8.943 - t^4.225/y - t^6.427/y - t^6.551/y - t^6.674/y - t^6.797/y + t^7.529/y + (3*t^7.652)/y + (4*t^7.775)/y + (3*t^7.899)/y + (3*t^8.022)/y + (2*t^8.507)/y + t^8.63/y + (3*t^8.753)/y + t^8.877/y - t^4.225*y - t^6.427*y - t^6.551*y - t^6.674*y - t^6.797*y + t^7.529*y + 3*t^7.652*y + 4*t^7.775*y + 3*t^7.899*y + 3*t^8.022*y + 2*t^8.507*y + t^8.63*y + 3*t^8.753*y + t^8.877*y | g1^16*t^2.203 + g1^6*t^2.326 + (2*t^2.449)/g1^4 + t^2.573/g1^14 + 2*g1^24*t^3.304 + t^3.674/g1^6 + t^4.044/g1^36 + g1^32*t^4.405 + 2*g1^22*t^4.529 + 4*g1^12*t^4.652 + 2*g1^2*t^4.775 + (5*t^4.899)/g1^8 + (2*t^5.022)/g1^18 + 2*g1^40*t^5.507 + g1^30*t^5.63 + 5*g1^20*t^5.753 + 2*g1^10*t^5.877 - 3*t^6. + t^6.123/g1^10 + t^6.247/g1^20 - t^6.37/g1^30 + (2*t^6.493)/g1^40 + 4*g1^48*t^6.608 + t^6.617/g1^50 + 2*g1^38*t^6.731 + 2*g1^28*t^6.855 + 6*g1^18*t^6.978 + 6*g1^8*t^7.101 + (2*t^7.225)/g1^2 + (7*t^7.348)/g1^12 + (4*t^7.471)/g1^22 - (2*t^7.595)/g1^32 + 2*g1^56*t^7.709 + t^7.718/g1^42 + 3*g1^46*t^7.833 + 7*g1^36*t^7.956 + g1^26*t^8.079 + t^8.088/g1^72 + 5*g1^16*t^8.203 + g1^6*t^8.326 - (9*t^8.449)/g1^4 - (2*t^8.573)/g1^14 + t^8.696/g1^24 + 4*g1^64*t^8.811 - (2*t^8.819)/g1^34 + 3*g1^54*t^8.934 + (3*t^8.943)/g1^44 - t^4.225/(g1^2*y) - (g1^14*t^6.427)/y - (g1^4*t^6.551)/y - t^6.674/(g1^6*y) - t^6.797/(g1^16*y) + (g1^22*t^7.529)/y + (3*g1^12*t^7.652)/y + (4*g1^2*t^7.775)/y + (3*t^7.899)/(g1^8*y) + (3*t^8.022)/(g1^18*y) + (2*g1^40*t^8.507)/y + (g1^30*t^8.63)/y + (3*g1^20*t^8.753)/y + (g1^10*t^8.877)/y - (t^4.225*y)/g1^2 - g1^14*t^6.427*y - g1^4*t^6.551*y - (t^6.674*y)/g1^6 - (t^6.797*y)/g1^16 + g1^22*t^7.529*y + 3*g1^12*t^7.652*y + 4*g1^2*t^7.775*y + (3*t^7.899*y)/g1^8 + (3*t^8.022*y)/g1^18 + 2*g1^40*t^8.507*y + g1^30*t^8.63*y + 3*g1^20*t^8.753*y + g1^10*t^8.877*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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
3096 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.637 | 0.7874 | 0.8089 | [X:[1.5568], M:[0.4432, 1.1856, 0.7784, 0.8863, 0.8144, 0.8504, 1.1137], q:[0.7964, 0.7604], qb:[0.4612, 0.3532], phi:[0.4072]] | t^2.335 + 2*t^2.443 + t^2.551 + 2*t^3.341 + t^3.665 + t^3.773 + t^3.989 + t^4.563 + 2*t^4.67 + t^4.778 + 5*t^4.886 + 2*t^4.994 + t^5.676 + 5*t^5.784 + t^5.892 - 3*t^6. - t^4.222/y - t^4.222*y | detail |