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 |
|---|---|---|---|---|---|---|---|---|---|
| 52728 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_5M_6$ + $ M_2^2$ | 0.6917 | 0.8473 | 0.8164 | [X:[], M:[1.0131, 1.0, 0.9869, 1.0033, 0.9935, 1.0065], q:[0.4967, 0.4902], qb:[0.5033, 0.5164], phi:[0.4984]] | [X:[], M:[[8], [0], [-8], [2], [-4], [4]], q:[[-2], [-6]], qb:[[2], [10]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ M_2$, $ M_4$, $ M_6$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_4M_5$ | . | -1 | t^2.96 + t^2.98 + t^3. + t^3.01 + t^3.02 + t^3.04 + t^3.06 + t^4.44 + t^4.46 + 2*t^4.48 + t^4.5 + 2*t^4.51 + t^4.53 + t^4.55 + t^4.59 + t^5.97 + t^5.99 - t^6. + t^6.01 + t^6.02 + t^6.03 + t^6.04 + t^6.05 + t^6.06 + t^6.07 + t^6.08 + t^6.1 + t^6.12 + t^7.4 + t^7.42 + 2*t^7.44 + 2*t^7.46 + 3*t^7.48 + 3*t^7.5 + 3*t^7.51 + 3*t^7.53 + 3*t^7.55 + 3*t^7.57 + 2*t^7.59 + 2*t^7.61 + t^7.63 + t^7.65 + t^8.87 + t^8.89 + 2*t^8.91 - t^8.92 + 2*t^8.93 - 2*t^8.94 + 4*t^8.95 - 4*t^8.96 + 3*t^8.97 - 4*t^8.98 + 4*t^8.99 - t^4.5/y + t^8.94/y + t^8.96/y + t^8.97/y + (2*t^8.98)/y + t^8.99/y - t^4.5*y + t^8.94*y + t^8.96*y + t^8.97*y + 2*t^8.98*y + t^8.99*y | t^2.96/g1^8 + t^2.98/g1^4 + t^3. + g1^2*t^3.01 + g1^4*t^3.02 + g1^8*t^3.04 + g1^12*t^3.06 + t^4.44/g1^13 + t^4.46/g1^9 + (2*t^4.48)/g1^5 + t^4.5/g1 + 2*g1^3*t^4.51 + g1^7*t^4.53 + g1^11*t^4.55 + g1^19*t^4.59 + t^5.97/g1^6 + t^5.99/g1^2 - t^6. + g1^2*t^6.01 + g1^4*t^6.02 + g1^6*t^6.03 + g1^8*t^6.04 + g1^10*t^6.05 + g1^12*t^6.06 + g1^14*t^6.07 + g1^16*t^6.08 + g1^20*t^6.1 + g1^24*t^6.12 + t^7.4/g1^21 + t^7.42/g1^17 + (2*t^7.44)/g1^13 + (2*t^7.46)/g1^9 + (3*t^7.48)/g1^5 + (3*t^7.5)/g1 + 3*g1^3*t^7.51 + 3*g1^7*t^7.53 + 3*g1^11*t^7.55 + 3*g1^15*t^7.57 + 2*g1^19*t^7.59 + 2*g1^23*t^7.61 + g1^27*t^7.63 + g1^31*t^7.65 + t^8.87/g1^26 + t^8.89/g1^22 + (2*t^8.91)/g1^18 - t^8.92/g1^16 + (2*t^8.93)/g1^14 - (2*t^8.94)/g1^12 + (4*t^8.95)/g1^10 - (4*t^8.96)/g1^8 + (3*t^8.97)/g1^6 - (4*t^8.98)/g1^4 + (4*t^8.99)/g1^2 - t^4.5/(g1*y) + t^8.94/(g1^12*y) + t^8.96/(g1^8*y) + t^8.97/(g1^6*y) + (2*t^8.98)/(g1^4*y) + t^8.99/(g1^2*y) - (t^4.5*y)/g1 + (t^8.94*y)/g1^12 + (t^8.96*y)/g1^8 + (t^8.97*y)/g1^6 + (2*t^8.98*y)/g1^4 + (t^8.99*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56468 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_5M_6$ + $ M_2^2$ + $ M_5M_7$ | 0.6914 | 0.8476 | 0.8157 | [X:[], M:[1.0008, 1.0, 0.9992, 1.0002, 0.9996, 1.0004, 1.0004], q:[0.4998, 0.4994], qb:[0.5002, 0.501], phi:[0.4999]] | 7*t^3. + 9*t^4.5 + t^4.51 + 9*t^6. - t^4.5/y - t^4.5*y | detail | |
| 56467 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_5M_6$ + $ M_2^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6249 | 0.7697 | 0.812 | [X:[], M:[1.2105, 1.0, 0.7895, 1.0526, 0.8947, 1.1053], q:[0.4474, 0.3421], qb:[0.5526, 0.7632], phi:[0.4737]] | t^2.37 + t^2.68 + t^3. + t^3.16 + t^3.32 + t^3.47 + t^3.63 + t^3.79 + t^3.95 + 2*t^4.11 + t^4.42 + 2*t^4.74 + t^5.05 + t^5.37 + t^5.53 + 2*t^5.84 - t^4.42/y - t^4.42*y | detail | {a: 68583/109744, c: 84467/109744, M1: 23/19, M2: 1, M3: 15/19, M4: 20/19, M5: 17/19, M6: 21/19, q1: 17/38, q2: 13/38, qb1: 21/38, qb2: 29/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47286 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_5M_6$ | 0.6995 | 0.856 | 0.8172 | [X:[], M:[1.0123, 0.8913, 0.9877, 1.0302, 1.0482, 0.9518], q:[0.5241, 0.4636], qb:[0.5846, 0.4881], phi:[0.4849]] | t^2.67 + t^2.86 + t^2.96 + t^3.04 + t^3.09 + t^3.14 + t^3.22 + t^4.24 + t^4.31 + t^4.38 + t^4.42 + t^4.49 + 2*t^4.6 + t^4.67 + t^4.78 + t^4.96 + t^5.35 + t^5.53 + t^5.71 + t^5.76 + t^5.89 + t^5.95 - 2*t^6. - t^4.45/y - t^4.45*y | detail |