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 |
|---|---|---|---|---|---|---|---|---|---|
| 57542 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ | 0.633 | 0.802 | 0.7894 | [X:[1.3821], M:[1.1274, 0.9575, 0.6179, 0.7877, 1.0425, 0.691, 0.8726], q:[0.2606, 0.612], qb:[0.7818, 0.6002], phi:[0.4363]] | [X:[[36]], M:[[12], [-4], [-36], [-20], [4], [18], [-12]], q:[[1], [-13]], qb:[[3], [33]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.073 + t^2.363 + t^2.583 + 2*t^2.618 + t^2.873 + t^3.127 + t^3.891 + 2*t^4.146 + t^4.182 + t^4.436 + t^4.656 + 2*t^4.691 + t^4.726 + t^4.91 + 2*t^4.946 + 2*t^4.981 + t^5.165 + 3*t^5.2 + 4*t^5.236 + t^5.455 + 3*t^5.491 + t^5.71 + 2*t^5.745 - 2*t^6. - t^6.035 + 2*t^6.219 + t^6.255 - t^6.29 + t^6.474 + 2*t^6.509 + 2*t^6.729 + 4*t^6.764 + 2*t^6.8 + t^6.983 + 2*t^7.019 + t^7.054 + t^7.09 + t^7.238 + 3*t^7.274 + 3*t^7.309 + t^7.344 + t^7.493 + 3*t^7.528 + 3*t^7.564 + 4*t^7.599 + t^7.748 + 4*t^7.783 + 4*t^7.818 + 6*t^7.854 + 2*t^8.038 + 3*t^8.109 + 3*t^8.292 + 2*t^8.328 - 2*t^8.583 - 5*t^8.618 - 3*t^8.653 + 3*t^8.802 + 2*t^8.837 - 3*t^8.873 - 2*t^8.908 - t^4.309/y - t^6.382/y - t^6.672/y - t^6.927/y + t^7.436/y + t^7.656/y + (3*t^7.691)/y + (3*t^7.946)/y + (2*t^7.981)/y + (3*t^8.2)/y + (3*t^8.236)/y + (3*t^8.491)/y + t^8.71/y + t^8.745/y + t^8.965/y - t^4.309*y - t^6.382*y - t^6.672*y - t^6.927*y + t^7.436*y + t^7.656*y + 3*t^7.691*y + 3*t^7.946*y + 2*t^7.981*y + 3*t^8.2*y + 3*t^8.236*y + 3*t^8.491*y + t^8.71*y + t^8.745*y + t^8.965*y | g1^18*t^2.073 + t^2.363/g1^20 + g1^34*t^2.583 + (2*t^2.618)/g1^12 + t^2.873/g1^4 + g1^4*t^3.127 + g1^28*t^3.891 + 2*g1^36*t^4.146 + t^4.182/g1^10 + t^4.436/g1^2 + g1^52*t^4.656 + 2*g1^6*t^4.691 + t^4.726/g1^40 + g1^60*t^4.91 + 2*g1^14*t^4.946 + (2*t^4.981)/g1^32 + g1^68*t^5.165 + 3*g1^22*t^5.2 + (4*t^5.236)/g1^24 + g1^30*t^5.455 + (3*t^5.491)/g1^16 + g1^38*t^5.71 + (2*t^5.745)/g1^8 - 2*t^6. - t^6.035/g1^46 + 2*g1^54*t^6.219 + g1^8*t^6.255 - t^6.29/g1^38 + g1^62*t^6.474 + 2*g1^16*t^6.509 + 2*g1^70*t^6.729 + 4*g1^24*t^6.764 + (2*t^6.8)/g1^22 + g1^78*t^6.983 + 2*g1^32*t^7.019 + t^7.054/g1^14 + t^7.09/g1^60 + g1^86*t^7.238 + 3*g1^40*t^7.274 + (3*t^7.309)/g1^6 + t^7.344/g1^52 + g1^94*t^7.493 + 3*g1^48*t^7.528 + 3*g1^2*t^7.564 + (4*t^7.599)/g1^44 + g1^102*t^7.748 + 4*g1^56*t^7.783 + 4*g1^10*t^7.818 + (6*t^7.854)/g1^36 + 2*g1^64*t^8.038 + (3*t^8.109)/g1^28 + 3*g1^72*t^8.292 + 2*g1^26*t^8.328 - 2*g1^34*t^8.583 - (5*t^8.618)/g1^12 - (3*t^8.653)/g1^58 + 3*g1^88*t^8.802 + 2*g1^42*t^8.837 - (3*t^8.873)/g1^4 - (2*t^8.908)/g1^50 - t^4.309/(g1^6*y) - (g1^12*t^6.382)/y - t^6.672/(g1^26*y) - t^6.927/(g1^18*y) + t^7.436/(g1^2*y) + (g1^52*t^7.656)/y + (3*g1^6*t^7.691)/y + (3*g1^14*t^7.946)/y + (2*t^7.981)/(g1^32*y) + (3*g1^22*t^8.2)/y + (3*t^8.236)/(g1^24*y) + (3*t^8.491)/(g1^16*y) + (g1^38*t^8.71)/y + t^8.745/(g1^8*y) + (g1^46*t^8.965)/y - (t^4.309*y)/g1^6 - g1^12*t^6.382*y - (t^6.672*y)/g1^26 - (t^6.927*y)/g1^18 + (t^7.436*y)/g1^2 + g1^52*t^7.656*y + 3*g1^6*t^7.691*y + 3*g1^14*t^7.946*y + (2*t^7.981*y)/g1^32 + 3*g1^22*t^8.2*y + (3*t^8.236*y)/g1^24 + (3*t^8.491*y)/g1^16 + g1^38*t^8.71*y + (t^8.745*y)/g1^8 + g1^46*t^8.965*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 |
|---|---|---|---|---|---|---|---|---|
| 58668 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6166 | 0.7783 | 0.7922 | [X:[1.5294], M:[1.1765, 0.9412, 0.4706, 0.7059, 1.0588, 0.7647, 0.8235], q:[0.2647, 0.5588], qb:[0.7941, 0.7353], phi:[0.4118]] | t^2.118 + t^2.294 + 2*t^2.471 + t^2.824 + t^3. + t^3.176 + t^4.059 + 2*t^4.235 + t^4.412 + 4*t^4.588 + 2*t^4.765 + 4*t^4.941 + 2*t^5.118 + 4*t^5.294 + 2*t^5.471 + 3*t^5.647 - t^6. - t^4.235/y - t^4.235*y | detail | {a: 12117/19652, c: 3824/4913, X1: 26/17, M1: 20/17, M2: 16/17, M3: 8/17, M4: 12/17, M5: 18/17, M6: 13/17, M7: 14/17, q1: 9/34, q2: 19/34, qb1: 27/34, qb2: 25/34, phi1: 7/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55824 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6219 | 0.784 | 0.7932 | [X:[1.3657], M:[1.1219, 0.9594, 0.6343, 0.7968, 1.0406, 0.6828], q:[0.2602, 0.618], qb:[0.7805, 0.5852], phi:[0.4391]] | t^2.049 + t^2.391 + t^2.536 + t^2.634 + t^2.878 + t^3.122 + t^3.366 + t^3.853 + 2*t^4.097 + t^4.195 + t^4.439 + t^4.585 + t^4.683 + t^4.781 + t^4.828 + 2*t^4.927 + t^5.025 + t^5.072 + 2*t^5.17 + 2*t^5.269 + 2*t^5.414 + 2*t^5.512 + t^5.658 + 2*t^5.756 + t^5.902 - t^6. - t^4.317/y - t^4.317*y | detail |