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 |
|---|---|---|---|---|---|---|---|---|---|
| 47873 | SU3adj1nf2 | $q_1^2\tilde{q}_1^2$ | 1.4741 | 1.6841 | 0.8753 | [X:[], M:[], q:[0.5, 0.4923], qb:[0.5, 0.4923], phi:[0.3359]] | [X:[], M:[], q:[[0, -1, 0], [6, 0, 0]], qb:[[0, 1, 0], [0, 0, 6]], phi:[[-1, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1^3$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1^5$, $ \phi_1q_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1^2q_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ \phi_1^3q_2\tilde{q}_2$ | $2\phi_1^3q_2\tilde{q}_1$, $ 2\phi_1^3q_1\tilde{q}_2$ | 1 | t^2.02 + t^2.95 + 2*t^2.98 + t^3. + t^3.02 + t^3.96 + 2*t^3.98 + t^4.01 + t^4.03 + 2*t^4.97 + 4*t^4.99 + 2*t^5.02 + t^5.04 + 2*t^5.46 + 2*t^5.48 + t^5.91 + 2*t^5.93 + 4*t^5.95 + 2*t^5.98 + t^6. + 2*t^6.05 + 2*t^6.47 + 2*t^6.49 + t^6.92 + 4*t^6.94 + 6*t^6.96 + 5*t^6.98 + 4*t^7.01 + t^7.03 + t^7.05 + 2*t^7.45 + 2*t^7.48 + 2*t^7.5 + 2*t^7.52 + 3*t^7.92 + 7*t^7.95 + 11*t^7.97 + 6*t^7.99 + 3*t^8.02 - t^8.04 + 2*t^8.06 + 2*t^8.42 + 6*t^8.44 + 4*t^8.46 - 2*t^8.51 - 2*t^8.53 + t^8.86 + 2*t^8.88 + 4*t^8.91 + 7*t^8.93 + 5*t^8.95 + 3*t^8.98 - t^4.01/y - t^5.02/y - t^6.02/y - t^6.96/y - (2*t^6.98)/y - t^7.01/y - (2*t^7.03)/y + t^7.99/y - t^8.04/y + (2*t^8.93)/y + (2*t^8.95)/y + (2*t^8.98)/y - t^4.01*y - t^5.02*y - t^6.02*y - t^6.96*y - 2*t^6.98*y - t^7.01*y - 2*t^7.03*y + t^7.99*y - t^8.04*y + 2*t^8.93*y + 2*t^8.95*y + 2*t^8.98*y | t^2.02/(g1^2*g3^2) + g1^6*g3^6*t^2.95 + g1^6*g2*t^2.98 + (g3^6*t^2.98)/g2 + t^3. + t^3.02/(g1^3*g3^3) + g1^5*g3^5*t^3.96 + (g1^5*g2*t^3.98)/g3 + (g3^5*t^3.98)/(g1*g2) + t^4.01/(g1*g3) + t^4.03/(g1^4*g3^4) + 2*g1^4*g3^4*t^4.97 + (2*g1^4*g2*t^4.99)/g3^2 + (2*g3^4*t^4.99)/(g1^2*g2) + (2*t^5.02)/(g1^2*g3^2) + t^5.04/(g1^5*g3^5) + (g1^11*t^5.46)/(g2*g3) + (g2*g3^11*t^5.46)/g1 + (g1^5*t^5.48)/(g2^2*g3) + (g2^2*g3^5*t^5.48)/g1 + g1^12*g3^12*t^5.91 + g1^12*g2*g3^6*t^5.93 + (g1^6*g3^12*t^5.93)/g2 + g1^12*g2^2*t^5.95 + 2*g1^6*g3^6*t^5.95 + (g3^12*t^5.95)/g2^2 + 2*g1^3*g3^3*t^5.98 - 3*t^6. + (2*g1^3*g2*t^6.)/g3^3 + (2*g3^3*t^6.)/(g1^3*g2) - t^6.02/(g1^6*g2) - (g2*t^6.02)/g3^6 + (2*t^6.02)/(g1^3*g3^3) + (2*t^6.05)/(g1^6*g3^6) + (g1^10*t^6.47)/(g2*g3^2) + (g2*g3^10*t^6.47)/g1^2 + (g1^4*t^6.49)/(g2^2*g3^2) + (g2^2*g3^4*t^6.49)/g1^2 + g1^11*g3^11*t^6.92 + 2*g1^11*g2*g3^5*t^6.94 + (2*g1^5*g3^11*t^6.94)/g2 + (g1^11*g2^2*t^6.96)/g3 + 4*g1^5*g3^5*t^6.96 + (g3^11*t^6.96)/(g1*g2^2) + (g1^5*g2*t^6.98)/g3 + 3*g1^2*g3^2*t^6.98 + (g3^5*t^6.98)/(g1*g2) + (3*g1^2*g2*t^7.01)/g3^4 - (2*t^7.01)/(g1*g3) + (3*g3^2*t^7.01)/(g1^4*g2) - (g2*t^7.03)/(g1*g3^7) + (3*t^7.03)/(g1^4*g3^4) - t^7.03/(g1^7*g2*g3) + t^7.05/(g1^7*g3^7) + (g1^15*t^7.45)/g3^3 + (g3^15*t^7.45)/g1^3 - (g1^6*t^7.48)/g2^2 + (2*g1^9*t^7.48)/(g2*g3^3) - g2^2*g3^6*t^7.48 + (2*g2*g3^9*t^7.48)/g1^3 - (g1^6*t^7.5)/(g2*g3^6) + (2*g1^3*t^7.5)/(g2^2*g3^3) + (2*g2^2*g3^3*t^7.5)/g1^3 - (g2*g3^6*t^7.5)/g1^6 + t^7.52/(g1^3*g2^3*g3^3) + (g2^3*t^7.52)/(g1^3*g3^3) + 3*g1^10*g3^10*t^7.92 + 4*g1^10*g2*g3^4*t^7.95 - g1^7*g3^7*t^7.95 + (4*g1^4*g3^10*t^7.95)/g2 + (3*g1^10*g2^2*t^7.97)/g3^2 - g1^7*g2*g3*t^7.97 + 7*g1^4*g3^4*t^7.97 - (g1*g3^7*t^7.97)/g2 + (3*g3^10*t^7.97)/(g1^2*g2^2) + (2*g1^4*g2*t^7.99)/g3^2 + 2*g1*g3*t^7.99 + (2*g3^4*t^7.99)/(g1^2*g2) + (3*g1*g2*t^8.02)/g3^5 - (3*t^8.02)/(g1^2*g3^2) + (3*g3*t^8.02)/(g1^5*g2) - (2*g2*t^8.04)/(g1^2*g3^8) + (3*t^8.04)/(g1^5*g3^5) - (2*t^8.04)/(g1^8*g2*g3^2) + (2*t^8.06)/(g1^8*g3^8) + (g1^17*g3^5*t^8.42)/g2 + g1^5*g2*g3^17*t^8.42 + (g1^17*t^8.44)/g3 + (2*g1^11*g3^5*t^8.44)/g2^2 + 2*g1^5*g2^2*g3^11*t^8.44 + (g3^17*t^8.44)/g1 + (g1^11*t^8.46)/(g2*g3) + (g1^5*g3^5*t^8.46)/g2^3 + g1^5*g2^3*g3^5*t^8.46 + (g2*g3^11*t^8.46)/g1 - (g1^11*t^8.48)/g3^7 + (2*g1^8*t^8.48)/(g2*g3^4) - (g1^5*t^8.48)/(g2^2*g3) - (g2^2*g3^5*t^8.48)/g1 + (2*g2*g3^8*t^8.48)/g1^4 - (g3^11*t^8.48)/g1^7 - (2*g1^5*t^8.51)/(g2*g3^7) + (2*g1^2*t^8.51)/(g2^2*g3^4) - t^8.51/(g1*g2^3*g3) - (g2^3*t^8.51)/(g1*g3) + (2*g2^2*g3^2*t^8.51)/g1^4 - (2*g2*g3^5*t^8.51)/g1^7 - t^8.53/(g1*g2^2*g3^7) - (g2^2*t^8.53)/(g1^7*g3) + g1^18*g3^18*t^8.86 + g1^18*g2*g3^12*t^8.88 + (g1^12*g3^18*t^8.88)/g2 + g1^18*g2^2*g3^6*t^8.91 + 2*g1^12*g3^12*t^8.91 + (g1^6*g3^18*t^8.91)/g2^2 + g1^18*g2^3*t^8.93 + g1^12*g2*g3^6*t^8.93 + 3*g1^9*g3^9*t^8.93 + (g1^6*g3^12*t^8.93)/g2 + (g3^18*t^8.93)/g2^3 + 5*g1^9*g2*g3^3*t^8.95 - 5*g1^6*g3^6*t^8.95 + (5*g1^3*g3^9*t^8.95)/g2 - 6*g1^6*g2*t^8.98 + (3*g1^9*g2^2*t^8.98)/g3^3 + 9*g1^3*g3^3*t^8.98 - (6*g3^6*t^8.98)/g2 + (3*g3^9*t^8.98)/(g1^3*g2^2) - t^4.01/(g1*g3*y) - t^5.02/(g1^2*g3^2*y) - t^6.02/(g1^3*g3^3*y) - (g1^5*g3^5*t^6.96)/y - (g1^5*g2*t^6.98)/(g3*y) - (g3^5*t^6.98)/(g1*g2*y) - t^7.01/(g1*g3*y) - (2*t^7.03)/(g1^4*g3^4*y) + (g1*g3*t^7.99)/y - t^8.04/(g1^5*g3^5*y) + (g1^12*g2*g3^6*t^8.93)/y + (g1^6*g3^12*t^8.93)/(g2*y) + (2*g1^6*g3^6*t^8.95)/y + (g1^6*g2*t^8.98)/y + (g3^6*t^8.98)/(g2*y) - (t^4.01*y)/(g1*g3) - (t^5.02*y)/(g1^2*g3^2) - (t^6.02*y)/(g1^3*g3^3) - g1^5*g3^5*t^6.96*y - (g1^5*g2*t^6.98*y)/g3 - (g3^5*t^6.98*y)/(g1*g2) - (t^7.01*y)/(g1*g3) - (2*t^7.03*y)/(g1^4*g3^4) + g1*g3*t^7.99*y - (t^8.04*y)/(g1^5*g3^5) + g1^12*g2*g3^6*t^8.93*y + (g1^6*g3^12*t^8.93*y)/g2 + 2*g1^6*g3^6*t^8.95*y + g1^6*g2*t^8.98*y + (g3^6*t^8.98*y)/g2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47900 | $q_1^2\tilde{q}_1^2$ + $ M_1\phi_1q_2\tilde{q}_1$ | 1.495 | 1.7254 | 0.8664 | [X:[], M:[0.6707], q:[0.4996, 0.493], qb:[0.5004, 0.4921], phi:[0.3358]] | 2*t^2.01 + t^2.96 + 2*t^2.98 + t^3. + t^3.02 + t^3.96 + t^3.98 + t^4.01 + t^4.02 + 2*t^4.03 + 3*t^4.97 + 4*t^4.99 + 2*t^5. + 3*t^5.01 + t^5.03 + t^5.04 + 2*t^5.46 + t^5.48 + t^5.49 + t^5.91 + t^5.93 + t^5.94 + t^5.95 + 3*t^5.96 + 3*t^5.98 + t^5.99 - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*y | detail | |
| 47914 | $q_1^2\tilde{q}_1^2$ + $ M_1\phi_1q_2\tilde{q}_2$ | 1.4949 | 1.7247 | 0.8668 | [X:[], M:[0.6769], q:[0.5, 0.4939], qb:[0.5, 0.4939], phi:[0.3354]] | t^2.01 + t^2.03 + t^2.96 + 2*t^2.98 + t^3. + t^3.02 + 2*t^3.99 + t^4.01 + t^4.02 + t^4.04 + t^4.06 + 2*t^4.98 + 5*t^4.99 + 4*t^5.01 + 2*t^5.03 + t^5.05 + 2*t^5.47 + 2*t^5.49 + t^5.93 + 2*t^5.94 + 4*t^5.96 + t^5.98 + t^6. - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*y | detail | |
| 47922 | $q_1^2\tilde{q}_1^2$ + $ M_1\phi_1^2$ | 1.4533 | 1.6428 | 0.8846 | [X:[], M:[1.328], q:[0.5, 0.492], qb:[0.5, 0.492], phi:[0.336]] | t^2.95 + 2*t^2.98 + t^3. + t^3.02 + t^3.96 + 3*t^3.98 + t^4.01 + t^4.97 + 2*t^4.99 + t^5.02 + 2*t^5.46 + 2*t^5.48 + t^5.9 + 2*t^5.93 + 4*t^5.95 + t^5.98 - t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y | detail | |
| 47930 | $q_1^2\tilde{q}_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^2X_1$ | 1.455 | 1.6433 | 0.8854 | [X:[1.3388], M:[0.9552], q:[0.4818, 0.5266], qb:[0.5182, 0.4896], phi:[0.3306]] | t^2.87 + t^2.91 + t^2.98 + t^3. + t^3.05 + t^3.91 + t^3.99 + t^4.02 + t^4.04 + t^4.13 + t^4.9 + t^4.98 + t^5.03 + t^5.12 + t^5.46 + t^5.48 + t^5.57 + t^5.6 + t^5.73 + t^5.78 + t^5.83 + t^5.84 + t^5.89 + t^5.91 + t^5.95 + t^5.96 + t^5.98 - 3*t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*y | detail | |
| 47923 | $q_1^2\tilde{q}_1^2$ + $ M_1q_2\tilde{q}_2$ + $ \phi_1^2X_1$ | 1.4548 | 1.6393 | 0.8875 | [X:[1.3494], M:[0.9519], q:[0.5, 0.524], qb:[0.5, 0.524], phi:[0.3253]] | t^2.86 + t^2.93 + t^3. + 2*t^3.07 + t^3.98 + 3*t^4.05 + t^4.12 + t^4.95 + 2*t^5.02 + t^5.1 + 2*t^5.55 + 2*t^5.62 + t^5.71 + t^5.78 + 2*t^5.86 + t^5.93 - t^6. - t^3.98/y - t^4.95/y - t^3.98*y - t^4.95*y | detail | |
| 47937 | $q_1^2\tilde{q}_1^2$ + $ \phi_1q_2\tilde{q}_1$ + $ \phi_1^2X_1$ | 1.0755 | 1.2031 | 0.8939 | [X:[1.493], M:[], q:[0.3263, 1.0728], qb:[0.6737, 0.4062], phi:[0.2535]] | t^2.2 + t^2.28 + t^2.96 + t^3. + t^3.72 + t^4.4 + t^4.44 + 2*t^4.48 + t^4.56 + t^5.16 + t^5.2 + 2*t^5.22 + 2*t^5.24 + 2*t^5.92 + 2*t^5.94 + t^5.96 - t^6. - t^3.76/y - t^4.52/y - t^5.96/y - t^3.76*y - t^4.52*y - t^5.96*y | detail | |
| 47903 | $q_1^2\tilde{q}_1^2$ + $ \phi_1q_2\tilde{q}_2$ + $ \phi_1^2X_1$ + $ \phi_1^3X_2$ | 1.0579 | 1.1204 | 0.9442 | [X:[1.6, 1.4], M:[], q:[0.5, 0.9], qb:[0.5, 0.9], phi:[0.2]] | t^3. + t^3.6 + 4*t^4.2 + t^4.8 + t^5.4 - 4*t^6. - t^3.6/y - t^4.2/y - t^3.6*y - t^4.2*y | detail | {a: 8463/8000, c: 8963/8000, X1: 8/5, X2: 7/5, q1: 1/2, q2: 9/10, qb1: 1/2, qb2: 9/10, phi1: 1/5} |
| 47950 | $q_1^2\tilde{q}_1^2$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1^2X_1$ | 1.3239 | 1.4959 | 0.885 | [X:[1.3746], M:[], q:[0.354, 0.7285], qb:[0.646, 0.3952], phi:[0.3127]] | t^2.25 + t^2.81 + t^3. + t^3.19 + t^3.37 + t^3.94 + 3*t^4.12 + t^4.31 + t^4.49 + 2*t^5.06 + 3*t^5.25 + t^5.43 + t^5.62 + t^5.63 + t^6. - t^3.94/y - t^4.88/y - t^3.94*y - t^4.88*y | detail | |
| 47898 | $q_1^2\tilde{q}_1^2$ + $ \phi_1^5$ + $ q_2\tilde{q}_2X_1$ | 1.3298 | 1.5548 | 0.8553 | [X:[1.4], M:[], q:[0.5, 0.3], qb:[0.5, 0.3], phi:[0.4]] | 3*t^2.4 + 2*t^3. + 3*t^3.6 + 3*t^4.2 + 2*t^4.5 + 8*t^4.8 + 2*t^5.1 + 5*t^5.4 + 2*t^5.7 + 8*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 5319/4000, c: 6219/4000, X1: 7/5, q1: 1/2, q2: 3/10, qb1: 1/2, qb2: 3/10, phi1: 2/5} |
| 47883 | $q_1^2\tilde{q}_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_1$ | 1.4532 | 1.6411 | 0.8855 | [X:[1.3322], M:[], q:[0.4975, 0.5008], qb:[0.5025, 0.4959], phi:[0.3339]] | t^2.98 + t^2.99 + 2*t^3. + t^3.01 + t^3.98 + t^3.99 + 2*t^4. + t^4.01 + t^4.98 + t^4.99 + t^5. + t^5.01 + t^5.48 + t^5.49 + 2*t^5.5 + t^5.96 + t^5.97 + t^5.98 + 2*t^5.99 - t^4./y - t^5./y - t^4.*y - t^5.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47866 | SU3adj1nf2 | . | 1.4743 | 1.6854 | 0.8748 | [X:[], M:[], q:[0.4934, 0.4934], qb:[0.4934, 0.4934], phi:[0.3377]] | t^2.03 + 4*t^2.96 + t^3.04 + 4*t^3.97 + t^4.05 + 8*t^4.99 + t^5.07 + 4*t^5.45 + 10*t^5.92 - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*y | detail |