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 |
|---|---|---|---|---|---|---|---|---|---|
| 400 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ | 0.6814 | 0.8225 | 0.8284 | [X:[], M:[1.0, 1.1613, 0.9353, 1.0, 0.742], q:[0.7903, 0.5323], qb:[0.4677, 0.5323], phi:[0.4193]] | [X:[], M:[[7, 1], [-4, 0], [14, 0], [-7, -1], [-6, 0]], q:[[-1, 0], [-14, -1]], qb:[[7, 0], [0, 1]], phi:[[2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_4$, $ M_1$, $ M_2$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_4M_5$, $ M_1M_5$, $ M_3^2$, $ M_2M_5$ | $M_1^2$, $ M_4^2$ | -2 | t^2.23 + t^2.81 + 2*t^3. + t^3.48 + 2*t^3.97 + t^4.06 + 2*t^4.26 + 4*t^4.45 + t^5.03 + 2*t^5.23 + t^5.61 + t^5.71 - 2*t^6. + t^6.29 + 2*t^6.48 + 4*t^6.68 + t^6.87 + 3*t^6.97 + 2*t^7.06 + 3*t^7.26 + 6*t^7.45 + t^7.84 + 4*t^7.94 + t^8.13 - 2*t^8.23 + 2*t^8.32 + 5*t^8.42 + 3*t^8.52 + 4*t^8.71 - 3*t^8.81 + 9*t^8.9 - t^4.26/y - t^6.48/y - t^7.06/y + t^7.45/y + (2*t^8.03)/y + (2*t^8.23)/y + (2*t^8.81)/y - t^4.26*y - t^6.48*y - t^7.06*y + t^7.45*y + 2*t^8.03*y + 2*t^8.23*y + 2*t^8.81*y | t^2.23/g1^6 + g1^14*t^2.81 + t^3./(g1^7*g2) + g1^7*g2*t^3. + t^3.48/g1^4 + t^3.97/(g1^15*g2) + (g2*t^3.97)/g1 + g1^16*t^4.06 + t^4.26/(g1^5*g2) + g1^9*g2*t^4.26 + (2*t^4.45)/g1^12 + t^4.45/(g1^26*g2^2) + g1^2*g2^2*t^4.45 + g1^8*t^5.03 + t^5.23/(g1^13*g2) + g1*g2*t^5.23 + g1^28*t^5.61 + t^5.71/g1^10 - 2*t^6. + g1^10*t^6.29 + t^6.48/(g1^11*g2) + g1^3*g2*t^6.48 + (2*t^6.68)/g1^18 + t^6.68/(g1^32*g2^2) + (g2^2*t^6.68)/g1^4 + g1^30*t^6.87 + t^6.97/g1^8 + t^6.97/(g1^22*g2^2) + g1^6*g2^2*t^6.97 + (g1^9*t^7.06)/g2 + g1^23*g2*t^7.06 + g1^2*t^7.26 + t^7.26/(g1^12*g2^2) + g1^16*g2^2*t^7.26 + t^7.45/(g1^33*g2^3) + (2*t^7.45)/(g1^19*g2) + (2*g2*t^7.45)/g1^5 + g1^9*g2^3*t^7.45 + g1^22*t^7.84 + (2*t^7.94)/g1^16 + t^7.94/(g1^30*g2^2) + (g2^2*t^7.94)/g1^2 + g1^32*t^8.13 - (2*t^8.23)/g1^6 + (g1^11*t^8.32)/g2 + g1^25*g2*t^8.32 + g1^42*t^8.42 + t^8.42/(g1^41*g2^3) + t^8.42/(g1^27*g2) + (g2*t^8.42)/g1^13 + g1*g2^3*t^8.42 + g1^4*t^8.52 + t^8.52/(g1^10*g2^2) + g1^18*g2^2*t^8.52 + t^8.71/(g1^31*g2^3) + t^8.71/(g1^17*g2) + (g2*t^8.71)/g1^3 + g1^11*g2^3*t^8.71 - 3*g1^14*t^8.81 + (3*t^8.9)/g1^24 + t^8.9/(g1^52*g2^4) + (2*t^8.9)/(g1^38*g2^2) + (2*g2^2*t^8.9)/g1^10 + g1^4*g2^4*t^8.9 - (g1^2*t^4.26)/y - t^6.48/(g1^4*y) - (g1^16*t^7.06)/y + t^7.45/(g1^12*y) + (2*g1^8*t^8.03)/y + t^8.23/(g1^13*g2*y) + (g1*g2*t^8.23)/y + (g1^7*t^8.81)/(g2*y) + (g1^21*g2*t^8.81)/y - g1^2*t^4.26*y - (t^6.48*y)/g1^4 - g1^16*t^7.06*y + (t^7.45*y)/g1^12 + 2*g1^8*t^8.03*y + (t^8.23*y)/(g1^13*g2) + g1*g2*t^8.23*y + (g1^7*t^8.81*y)/g2 + g1^21*g2*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 647 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ | 0.615 | 0.7516 | 0.8183 | [X:[], M:[1.1856, 1.2096, 0.7664, 0.8144, 0.8144], q:[0.8024, 0.4312], qb:[0.3832, 0.8024], phi:[0.3952]] | t^2.3 + 2*t^2.44 + t^3.48 + t^3.56 + 2*t^3.63 + t^3.7 + t^3.77 + t^4.6 + 2*t^4.74 + t^4.81 + 3*t^4.89 + t^5.78 + 2*t^5.93 - t^4.19/y - t^4.19*y | detail | |
| 644 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_2M_5$ | 0.6675 | 0.805 | 0.8292 | [X:[], M:[1.0, 1.2, 0.8, 1.0, 0.8], q:[0.8, 0.6], qb:[0.4, 0.6], phi:[0.4]] | 2*t^2.4 + 2*t^3. + 2*t^3.6 + 4*t^4.2 + 6*t^4.8 + 2*t^5.4 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 267/400, c: 161/200, M1: 1, M2: 6/5, M3: 4/5, M4: 1, M5: 4/5, q1: 4/5, q2: 3/5, qb1: 2/5, qb2: 3/5, phi1: 2/5} |
| 646 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_3M_6$ | 0.6784 | 0.8213 | 0.826 | [X:[], M:[1.0, 1.1426, 1.0008, 1.0, 0.714, 0.9992], q:[0.7857, 0.4996], qb:[0.5004, 0.4996], phi:[0.4287]] | t^2.14 + 3*t^3. + t^3.43 + 2*t^3.86 + 4*t^4.28 + 3*t^4.29 + 3*t^5.14 + t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | |
| 648 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_3^2$ | 0.6784 | 0.8212 | 0.826 | [X:[], M:[1.0, 1.1429, 1.0, 1.0, 0.7143], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | t^2.14 + 3*t^3. + t^3.43 + 2*t^3.86 + 7*t^4.29 + 3*t^5.14 + t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 3723/5488, c: 4507/5488, M1: 1, M2: 8/7, M3: 1, M4: 1, M5: 5/7, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
| 645 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ | 0.7022 | 0.8636 | 0.8131 | [X:[], M:[0.9986, 1.1618, 0.9336, 1.0014, 0.7428, 0.6749], q:[0.7905, 0.5347], qb:[0.4668, 0.5318], phi:[0.4191]] | t^2.02 + t^2.23 + t^2.8 + 2*t^3. + t^3.49 + t^3.97 + t^4.05 + t^4.06 + 2*t^4.25 + t^4.26 + t^4.45 + 2*t^4.46 + t^4.47 + t^4.83 + t^5.02 + 2*t^5.03 + t^5.22 + t^5.23 + t^5.51 + t^5.6 + t^5.71 + t^5.99 - 2*t^6. - t^4.26/y - t^4.26*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 |
|---|---|---|---|---|---|---|---|---|---|
| 250 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ | 0.6621 | 0.7871 | 0.8412 | [X:[], M:[1.0, 1.1646, 0.9238, 1.0], q:[0.7912, 0.5381], qb:[0.4619, 0.5381], phi:[0.4177]] | t^2.77 + 2*t^3. + t^3.49 + t^3.76 + 2*t^3.99 + t^4.02 + 2*t^4.25 + 3*t^4.48 + t^5.54 - 2*t^6. - t^4.25/y - t^4.25*y | detail |