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 |
|---|---|---|---|---|---|---|---|---|---|
| 8273 | SO5adj1nf1 | $\phi_1^2X_1$ | 1.1741 | 1.206 | 0.9736 | [X:[1.5686], M:[], q:[0.3528], qb:[], phi:[0.2157]] | [X:[[2]], M:[], q:[[3]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1^2$, $ \phi_1^2q_1$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ q_1^4$, $ \phi_1^2q_1^3$, $ \phi_1^4q_1^2$, $ X_1$, $ \phi_1^6q_1$, $ \phi_1^8$, $ \phi_1^2q_1^4$, $ \phi_1^4q_1^3$ | $\phi_1^6q_1^2$ | 0 | t^2.12 + t^2.35 + t^2.59 + t^3.41 + t^4.23 + t^4.47 + 3*t^4.71 + t^4.94 + t^5.18 + t^5.53 + t^5.76 - t^6.24 + t^6.35 + t^6.59 + 4*t^6.82 + 3*t^7.06 + 3*t^7.29 + t^7.53 + t^7.65 + t^7.77 + t^7.88 + t^8.12 + t^8.47 + t^8.7 - 2*t^8.76 - t^8.82 + 4*t^8.94 + t^8.35/y^2 + t^8.59/y^2 - t^8.76/y^2 - t^3.65/y - t^4.71/y - t^4.94/y - t^5.76/y - t^6./y - t^6.24/y - t^6.82/y - (2*t^7.06)/y - t^7.29/y + t^7.47/y - t^7.53/y + t^7.71/y - t^7.88/y + t^7.94/y - (2*t^8.12)/y - (2*t^8.35)/y + t^8.53/y + t^8.76/y - t^8.82/y - t^8.94/y - t^3.65*y - t^4.71*y - t^4.94*y - t^5.76*y - t^6.*y - t^6.24*y - t^6.82*y - 2*t^7.06*y - t^7.29*y + t^7.47*y - t^7.53*y + t^7.71*y - t^7.88*y + t^7.94*y - 2*t^8.12*y - 2*t^8.35*y + t^8.53*y + t^8.76*y - t^8.82*y - t^8.94*y + t^8.35*y^2 + t^8.59*y^2 - t^8.76*y^2 | g1^6*t^2.12 + g1*t^2.35 + t^2.59/g1^4 + g1^4*t^3.41 + g1^12*t^4.23 + g1^7*t^4.47 + 3*g1^2*t^4.71 + t^4.94/g1^3 + t^5.18/g1^8 + g1^10*t^5.53 + g1^5*t^5.76 - t^6.24/g1^5 + g1^18*t^6.35 + g1^13*t^6.59 + 4*g1^8*t^6.82 + 3*g1^3*t^7.06 + (3*t^7.29)/g1^2 + t^7.53/g1^7 + g1^16*t^7.65 + t^7.77/g1^12 + g1^11*t^7.88 + g1^6*t^8.12 + g1^24*t^8.47 + g1^19*t^8.7 - 2*g1^5*t^8.76 - t^8.82/g1^9 + 4*g1^14*t^8.94 + (g1*t^8.35)/y^2 + t^8.59/(g1^4*y^2) - (g1^5*t^8.76)/y^2 - t^3.65/(g1*y) - (g1^2*t^4.71)/y - t^4.94/(g1^3*y) - (g1^5*t^5.76)/y - t^6./y - t^6.24/(g1^5*y) - (g1^8*t^6.82)/y - (2*g1^3*t^7.06)/y - t^7.29/(g1^2*y) + (g1^7*t^7.47)/y - t^7.53/(g1^7*y) + (g1^2*t^7.71)/y - (g1^11*t^7.88)/y + t^7.94/(g1^3*y) - (2*g1^6*t^8.12)/y - (2*g1*t^8.35)/y + (g1^10*t^8.53)/y + (g1^5*t^8.76)/y - t^8.82/(g1^9*y) - (g1^14*t^8.94)/y - (t^3.65*y)/g1 - g1^2*t^4.71*y - (t^4.94*y)/g1^3 - g1^5*t^5.76*y - t^6.*y - (t^6.24*y)/g1^5 - g1^8*t^6.82*y - 2*g1^3*t^7.06*y - (t^7.29*y)/g1^2 + g1^7*t^7.47*y - (t^7.53*y)/g1^7 + g1^2*t^7.71*y - g1^11*t^7.88*y + (t^7.94*y)/g1^3 - 2*g1^6*t^8.12*y - 2*g1*t^8.35*y + g1^10*t^8.53*y + g1^5*t^8.76*y - (t^8.82*y)/g1^9 - g1^14*t^8.94*y + g1*t^8.35*y^2 + (t^8.59*y^2)/g1^4 - g1^5*t^8.76*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8280 | $\phi_1^2X_1$ + $ M_1\phi_1^2q_1$ | 1.1567 | 1.1748 | 0.9846 | [X:[1.5704], M:[1.2148], q:[0.3557], qb:[], phi:[0.2148]] | t^2.13 + t^2.58 + t^3.42 + t^3.64 + t^4.27 + 2*t^4.71 + t^5.15 + t^5.56 + t^5.78 - t^3.64/y - t^4.71/y - t^4.93/y - t^5.78/y - t^3.64*y - t^4.71*y - t^4.93*y - t^5.78*y | detail | |
| 8282 | $\phi_1^2X_1$ + $ M_1\phi_1^2q_1^2$ | 1.187 | 1.2265 | 0.9678 | [X:[1.5786], M:[0.8428], q:[0.3679], qb:[], phi:[0.2107]] | t^2.21 + t^2.37 + 2*t^2.53 + t^4.42 + t^4.58 + 4*t^4.74 + 2*t^4.9 + 3*t^5.06 - t^6. - t^3.63/y - t^4.74/y - t^4.9/y - t^5.84/y - t^6./y - t^3.63*y - t^4.74*y - t^4.9*y - t^5.84*y - t^6.*y | detail | |
| 8277 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ | 1.1628 | 1.19 | 0.9772 | [X:[1.5574], M:[1.1148], q:[0.3361], qb:[], phi:[0.2213]] | t^2.02 + t^2.34 + 2*t^3.34 + t^4.03 + t^4.35 + 2*t^4.67 + 2*t^5.36 + 2*t^5.68 - t^6. - t^3.66/y - t^4.67/y - t^4.99/y - t^5.68/y - t^6./y - t^3.66*y - t^4.67*y - t^4.99*y - t^5.68*y - t^6.*y | detail | |
| 8276 | $\phi_1^2X_1$ + $ M_1q_1^2$ | 1.1539 | 1.1671 | 0.9886 | [X:[1.5746], M:[1.2761], q:[0.3619], qb:[], phi:[0.2127]] | t^2.36 + t^2.55 + t^3.45 + t^3.83 + 2*t^4.72 + t^4.91 + t^5.1 + t^5.81 - t^3.64/y - t^4.72/y - t^4.91/y - t^6./y - t^3.64*y - t^4.72*y - t^4.91*y - t^6.*y | detail | |
| 8281 | $\phi_1^2X_1$ + $ \phi_1^2q_1^3$ + $ \phi_1^4X_2$ | 1.0151 | 0.9883 | 1.0271 | [X:[1.7143, 1.4286], M:[], q:[0.5714], qb:[], phi:[0.1429]] | t^2.57 + t^3.43 + 2*t^4.29 + t^5.14 - t^3.43/y - t^4.29/y - t^5.14/y - t^6./y - t^3.43*y - t^4.29*y - t^5.14*y - t^6.*y | detail | {a: 5571/5488, c: 339/343, X1: 12/7, X2: 10/7, q1: 4/7, phi1: 1/7} |
| 8275 | $\phi_1^2X_1$ + $ \phi_1^2q_1^4$ | 1.167 | 1.192 | 0.979 | [X:[1.6], M:[], q:[0.4], qb:[], phi:[0.2]] | 3*t^2.4 + t^3.6 + 7*t^4.8 + t^6. - t^3.6/y - (2*t^4.8)/y - (3*t^6.)/y - t^3.6*y - 2*t^4.8*y - 3*t^6.*y | detail | {a: 1167/1000, c: 149/125, X1: 8/5, q1: 2/5, phi1: 1/5} |
| 8279 | $\phi_1^2X_1$ + $ \phi_1^8$ + $ q_1^2X_2$ | 1.1265 | 1.1421 | 0.9863 | [X:[1.5, 1.5], M:[], q:[0.25], qb:[], phi:[0.25]] | t^2.25 + 2*t^3. + 3*t^4.5 + 2*t^5.25 + 2*t^6. - t^3.75/y - t^4.5/y - t^5.25/y - t^6./y - t^3.75*y - t^4.5*y - t^5.25*y - t^6.*y | detail | {a: 2307/2048, c: 2339/2048, X1: 3/2, X2: 3/2, q1: 1/4, phi1: 1/4} |
| 8278 | $\phi_1^2X_1$ + $ q_1^4$ + $ \phi_1^4X_2$ | 1.0872 | 1.0768 | 1.0097 | [X:[1.6667, 1.3333], M:[], q:[0.5], qb:[], phi:[0.1667]] | t^2.5 + t^3. + 2*t^4. + 2*t^5. - t^3.5/y - t^4.5/y - t^5./y - t^6./y - t^3.5*y - t^4.5*y - t^5.*y - t^6.*y | detail | {a: 835/768, c: 827/768, X1: 5/3, X2: 4/3, q1: 1/2, phi1: 1/6} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 44924 | SO5adj1nf2 | $q_1^2$ + $ \phi_1^2X_1$ | 1.1741 | 1.206 | 0.9736 | [X:[1.5686], M:[], q:[1.0, 0.3528], qb:[], phi:[0.2157]] | t^2.12 + t^2.35 + t^2.59 + t^3.41 + t^4.23 + t^4.47 + 3*t^4.71 + t^4.94 + t^5.18 + t^5.53 + t^5.76 - t^3.65/y - t^4.71/y - t^4.94/y - t^5.76/y - t^6./y - t^3.65*y - t^4.71*y - t^4.94*y - t^5.76*y - t^6.*y | detail |
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 |
|---|