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 |
---|---|---|---|---|---|---|---|---|---|
46168 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ | 0.6621 | 0.7871 | 0.8412 | [M:[1.1646, 1.0, 0.9238, 1.0], q:[0.5381, 0.4619], qb:[0.5381, 0.7912], phi:[0.4177]] | [M:[[0, 4], [1, -7], [0, -14], [-1, 7]], q:[[-1, 14], [0, -7]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$ | ${}M_{2}^{2}$, ${ }M_{4}^{2}$ | -2 | t^2.771 + 2*t^3. + t^3.494 + t^3.759 + 2*t^3.988 + t^4.024 + 2*t^4.253 + 3*t^4.482 + t^5.543 - 2*t^6. - 2*t^6.229 + t^6.531 + 2*t^6.759 + t^6.796 + 3*t^6.988 + 2*t^7.024 + 3*t^7.253 + 4*t^7.482 + t^7.518 + 2*t^7.747 + t^7.784 + 3*t^7.976 + 2*t^8.012 + t^8.049 + 3*t^8.241 + 2*t^8.278 + t^8.314 + 4*t^8.469 + 2*t^8.506 + 2*t^8.735 - 3*t^8.771 + 5*t^8.963 - t^4.253/y - t^7.024/y + t^7.482/y + (2*t^8.771)/y - t^4.253*y - t^7.024*y + t^7.482*y + 2*t^8.771*y | t^2.771/g2^14 + (g1*t^3.)/g2^7 + (g2^7*t^3.)/g1 + g2^4*t^3.494 + t^3.759/g2^6 + g1*g2*t^3.988 + (g2^15*t^3.988)/g1 + t^4.024/g2^16 + (g1*t^4.253)/g2^9 + (g2^5*t^4.253)/g1 + (g1^2*t^4.482)/g2^2 + g2^12*t^4.482 + (g2^26*t^4.482)/g1^2 + t^5.543/g2^28 - 2*t^6. - g1*g2^7*t^6.229 - (g2^21*t^6.229)/g1 + t^6.531/g2^20 + (g1*t^6.759)/g2^13 + (g2*t^6.759)/g1 + t^6.796/g2^30 + (g1^2*t^6.988)/g2^6 + g2^8*t^6.988 + (g2^22*t^6.988)/g1^2 + (g1*t^7.024)/g2^23 + t^7.024/(g1*g2^9) + (g1^2*t^7.253)/g2^16 + t^7.253/g2^2 + (g2^12*t^7.253)/g1^2 + (g1^3*t^7.482)/g2^9 + g1*g2^5*t^7.482 + (g2^19*t^7.482)/g1 + (g2^33*t^7.482)/g1^3 + t^7.518/g2^12 + (g1*t^7.747)/g2^5 + (g2^9*t^7.747)/g1 + t^7.784/g2^22 + g1^2*g2^2*t^7.976 + g2^16*t^7.976 + (g2^30*t^7.976)/g1^2 + (g1*t^8.012)/g2^15 + t^8.012/(g1*g2) + t^8.049/g2^32 + (g1^2*t^8.241)/g2^8 + g2^6*t^8.241 + (g2^20*t^8.241)/g1^2 + (g1*t^8.278)/g2^25 + t^8.278/(g1*g2^11) + t^8.314/g2^42 + (g1^3*t^8.469)/g2 + g1*g2^13*t^8.469 + (g2^27*t^8.469)/g1 + (g2^41*t^8.469)/g1^3 + (g1^2*t^8.506)/g2^18 + (g2^10*t^8.506)/g1^2 + (g1^3*t^8.735)/g2^11 + (g2^31*t^8.735)/g1^3 - (3*t^8.771)/g2^14 + (g1^4*t^8.963)/g2^4 + g1^2*g2^10*t^8.963 + g2^24*t^8.963 + (g2^38*t^8.963)/g1^2 + (g2^52*t^8.963)/g1^4 - t^4.253/(g2^2*y) - t^7.024/(g2^16*y) + (g2^12*t^7.482)/y + (g1*t^8.771)/(g2^21*y) + t^8.771/(g1*g2^7*y) - (t^4.253*y)/g2^2 - (t^7.024*y)/g2^16 + g2^12*t^7.482*y + (g1*t^8.771*y)/g2^21 + (t^8.771*y)/(g1*g2^7) |
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 |
---|---|---|---|---|---|---|---|---|
46603 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ | 0.6582 | 0.7832 | 0.8404 | [M:[1.1429, 1.0, 1.0, 1.0], q:[0.5, 0.5], qb:[0.5, 0.7857], phi:[0.4286]] | 3*t^3. + t^3.429 + 3*t^3.857 + 6*t^4.286 - 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 129/196, c: 307/392, M1: 8/7, M2: 1, M3: 1, M4: 1, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 11/14, phi1: 3/7} |
46517 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.683 | 0.8286 | 0.8242 | [M:[1.1648, 0.9994, 0.9231, 1.0006, 0.6698], q:[0.539, 0.4615], qb:[0.5379, 0.7912], phi:[0.4176]] | t^2.009 + t^2.769 + t^2.998 + t^3.002 + t^3.494 + t^3.758 + t^3.987 + t^4.019 + t^4.022 + t^4.251 + t^4.254 + t^4.48 + t^4.483 + t^4.487 + t^4.779 + t^5.008 + t^5.011 + t^5.504 + t^5.539 + t^5.768 + t^5.997 - 2*t^6. - t^4.253/y - t^4.253*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 |
---|---|---|---|---|---|---|---|---|---|
46030 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6845 | 0.8095 | 0.8456 | [M:[1.2823, 0.8373, 0.8373, 0.8373], q:[0.5813, 0.5813], qb:[0.5813, 0.8206], phi:[0.3588]] | 3*t^2.512 + t^3.847 + 3*t^4.206 + 6*t^4.565 + 6*t^5.024 - 9*t^6. - t^4.077/y - t^4.077*y | detail |