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 |
|---|---|---|---|---|---|---|---|---|---|
| 56118 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6728 | 0.8548 | 0.7871 | [X:[1.5604], M:[0.4396, 1.1868, 0.7802, 0.8792, 0.7802, 0.8132, 0.6812], q:[0.7967, 0.7637], qb:[0.4561, 0.3571], phi:[0.4066]] | [X:[[12]], M:[[-12], [4], [6], [-24], [6], [-4], [36]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.043 + 2*t^2.341 + 2*t^2.44 + t^2.638 + t^3.362 + t^3.461 + t^3.758 + t^4.087 + 2*t^4.384 + 2*t^4.483 + t^4.582 + 5*t^4.681 + 3*t^4.78 + 4*t^4.879 + 2*t^4.978 + t^5.077 + t^5.275 + t^5.406 + t^5.505 + t^5.703 + 6*t^5.802 + t^5.901 - 3*t^6. + 2*t^6.099 + t^6.13 + t^6.198 - 2*t^6.297 + t^6.396 + 2*t^6.427 + 2*t^6.527 + t^6.626 + 6*t^6.725 + 4*t^6.824 + 4*t^6.923 + 8*t^7.022 + 5*t^7.121 + 4*t^7.22 + 8*t^7.319 + t^7.418 + t^7.449 + t^7.517 + t^7.548 + 2*t^7.616 + t^7.715 + t^7.746 + 6*t^7.845 + t^7.913 + 2*t^7.944 - t^8.043 + 7*t^8.142 + t^8.174 + 5*t^8.242 - 7*t^8.341 - 2*t^8.44 + 2*t^8.471 - t^8.539 + 2*t^8.57 - 5*t^8.638 + t^8.669 - t^8.737 + 6*t^8.768 + 4*t^8.867 - 2*t^8.935 + 4*t^8.966 - t^4.22/y - t^6.263/y - (2*t^6.56)/y - t^6.659/y - t^6.858/y + (2*t^7.384)/y + (2*t^7.483)/y + t^7.582/y + (2*t^7.681)/y + (5*t^7.78)/y + (3*t^7.879)/y + (2*t^7.978)/y + (2*t^8.077)/y + t^8.176/y - t^8.307/y + t^8.406/y + t^8.505/y - (2*t^8.604)/y + t^8.703/y + (5*t^8.802)/y - (2*t^8.901)/y - t^4.22*y - t^6.263*y - 2*t^6.56*y - t^6.659*y - t^6.858*y + 2*t^7.384*y + 2*t^7.483*y + t^7.582*y + 2*t^7.681*y + 5*t^7.78*y + 3*t^7.879*y + 2*t^7.978*y + 2*t^8.077*y + t^8.176*y - t^8.307*y + t^8.406*y + t^8.505*y - 2*t^8.604*y + t^8.703*y + 5*t^8.802*y - 2*t^8.901*y | g1^36*t^2.043 + 2*g1^6*t^2.341 + (2*t^2.44)/g1^4 + t^2.638/g1^24 + g1^24*t^3.362 + g1^14*t^3.461 + t^3.758/g1^16 + g1^72*t^4.087 + 2*g1^42*t^4.384 + 2*g1^32*t^4.483 + g1^22*t^4.582 + 5*g1^12*t^4.681 + 3*g1^2*t^4.78 + (4*t^4.879)/g1^8 + (2*t^4.978)/g1^18 + t^5.077/g1^28 + t^5.275/g1^48 + g1^60*t^5.406 + g1^50*t^5.505 + g1^30*t^5.703 + 6*g1^20*t^5.802 + g1^10*t^5.901 - 3*t^6. + (2*t^6.099)/g1^10 + g1^108*t^6.13 + t^6.198/g1^20 - (2*t^6.297)/g1^30 + t^6.396/g1^40 + 2*g1^78*t^6.427 + 2*g1^68*t^6.527 + g1^58*t^6.626 + 6*g1^48*t^6.725 + 4*g1^38*t^6.824 + 4*g1^28*t^6.923 + 8*g1^18*t^7.022 + 5*g1^8*t^7.121 + (4*t^7.22)/g1^2 + (8*t^7.319)/g1^12 + t^7.418/g1^22 + g1^96*t^7.449 + t^7.517/g1^32 + g1^86*t^7.548 + (2*t^7.616)/g1^42 + t^7.715/g1^52 + g1^66*t^7.746 + 6*g1^56*t^7.845 + t^7.913/g1^72 + 2*g1^46*t^7.944 - g1^36*t^8.043 + 7*g1^26*t^8.142 + g1^144*t^8.174 + 5*g1^16*t^8.242 - 7*g1^6*t^8.341 - (2*t^8.44)/g1^4 + 2*g1^114*t^8.471 - t^8.539/g1^14 + 2*g1^104*t^8.57 - (5*t^8.638)/g1^24 + g1^94*t^8.669 - t^8.737/g1^34 + 6*g1^84*t^8.768 + 4*g1^74*t^8.867 - (2*t^8.935)/g1^54 + 4*g1^64*t^8.966 - t^4.22/(g1^2*y) - (g1^34*t^6.263)/y - (2*g1^4*t^6.56)/y - t^6.659/(g1^6*y) - t^6.858/(g1^26*y) + (2*g1^42*t^7.384)/y + (2*g1^32*t^7.483)/y + (g1^22*t^7.582)/y + (2*g1^12*t^7.681)/y + (5*g1^2*t^7.78)/y + (3*t^7.879)/(g1^8*y) + (2*t^7.978)/(g1^18*y) + (2*t^8.077)/(g1^28*y) + t^8.176/(g1^38*y) - (g1^70*t^8.307)/y + (g1^60*t^8.406)/y + (g1^50*t^8.505)/y - (2*g1^40*t^8.604)/y + (g1^30*t^8.703)/y + (5*g1^20*t^8.802)/y - (2*g1^10*t^8.901)/y - (t^4.22*y)/g1^2 - g1^34*t^6.263*y - 2*g1^4*t^6.56*y - (t^6.659*y)/g1^6 - (t^6.858*y)/g1^26 + 2*g1^42*t^7.384*y + 2*g1^32*t^7.483*y + g1^22*t^7.582*y + 2*g1^12*t^7.681*y + 5*g1^2*t^7.78*y + (3*t^7.879*y)/g1^8 + (2*t^7.978*y)/g1^18 + (2*t^8.077*y)/g1^28 + (t^8.176*y)/g1^38 - g1^70*t^8.307*y + g1^60*t^8.406*y + g1^50*t^8.505*y - 2*g1^40*t^8.604*y + g1^30*t^8.703*y + 5*g1^20*t^8.802*y - 2*g1^10*t^8.901*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 |
|---|---|---|---|---|---|---|---|---|
| 58273 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}X_{2}$ | 0.5208 | 0.6488 | 0.8028 | [X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 0.8571, 0.7619, 1.1429], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]] | 2*t^2.286 + 2*t^2.571 + t^3.143 + t^3.429 + 2*t^4.286 + 4*t^4.571 + 3*t^4.857 + 2*t^5.143 + 2*t^5.429 + 3*t^5.714 - 2*t^6. - t^4.143/y - t^4.143*y | detail | {a: 25/48, c: 109/168, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 6/7, M6: 16/21, M7: 8/7, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21} |
| 58288 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.692 | 0.8909 | 0.7768 | [X:[1.5565], M:[0.4435, 1.1855, 0.7782, 0.887, 0.7782, 0.8145, 0.6695, 0.742], q:[0.7964, 0.7601], qb:[0.4616, 0.3529], phi:[0.4073]] | t^2.008 + t^2.226 + 2*t^2.335 + 2*t^2.444 + t^2.661 + t^3.339 + t^3.448 + t^4.017 + t^4.234 + 2*t^4.343 + 3*t^4.452 + 3*t^4.561 + 7*t^4.669 + 3*t^4.778 + 5*t^4.887 + 2*t^4.996 + t^5.105 + t^5.322 + t^5.347 + t^5.456 + t^5.565 + 2*t^5.674 + 5*t^5.782 + t^5.891 - 3*t^6. - t^4.222/y - t^4.222*y | detail | |
| 58287 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6864 | 0.8774 | 0.7824 | [X:[1.567], M:[0.433, 1.189, 0.7835, 0.8661, 0.7835, 0.811, 0.7009, 0.8385], q:[0.7972, 0.7697], qb:[0.4468, 0.3642], phi:[0.4055]] | t^2.103 + 2*t^2.35 + 2*t^2.433 + t^2.516 + t^2.598 + t^3.402 + t^3.732 + t^4.205 + 2*t^4.453 + 2*t^4.536 + 2*t^4.618 + 5*t^4.701 + 3*t^4.783 + 6*t^4.866 + 4*t^4.949 + 2*t^5.031 + t^5.114 + t^5.197 + t^5.504 + t^5.752 + 4*t^5.835 - 3*t^6. - t^4.217/y - t^4.217*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 |
|---|---|---|---|---|---|---|---|---|---|
| 50763 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ | 0.652 | 0.8141 | 0.8009 | [X:[1.5634], M:[0.4366, 1.1878, 0.7817, 0.8733, 0.7817, 0.8122], q:[0.7969, 0.7664], qb:[0.4519, 0.3603], phi:[0.4061]] | 2*t^2.345 + 2*t^2.437 + t^2.62 + t^3.38 + t^3.472 + t^3.747 + t^3.93 + t^4.599 + 4*t^4.69 + 3*t^4.782 + 4*t^4.873 + 2*t^4.965 + t^5.056 + t^5.24 + t^5.725 + 5*t^5.817 + t^5.908 - 3*t^6. - t^4.218/y - t^4.218*y | detail |