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 |
|---|---|---|---|---|---|---|---|---|---|
| 1984 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_6\phi_1q_2^2$ | 0.6716 | 0.8566 | 0.784 | [X:[], M:[1.1734, 0.7379, 0.8266, 0.8266, 0.7379, 0.6935], q:[0.8044, 0.4577], qb:[0.3689, 0.8044], phi:[0.3911]] | [X:[], M:[[-6], [-14], [6], [6], [-14], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ M_2M_6$, $ M_5M_6$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_6\phi_1^2$, $ M_3M_6$, $ M_4M_6$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_3M_5$, $ M_4M_5$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_1M_6$, $ M_2\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_1M_5$, $ M_6\phi_1q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ M_1\phi_1^2$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$ | 0 | t^2.08 + 2*t^2.21 + t^2.35 + 2*t^2.48 + t^3.39 + t^3.52 + t^3.65 + t^4.16 + 2*t^4.29 + 4*t^4.43 + 4*t^4.56 + 5*t^4.69 + 3*t^4.83 + 3*t^4.96 + t^5.47 + 3*t^5.6 + 3*t^5.73 + 3*t^5.87 + t^6.24 - t^6.27 + 2*t^6.37 + 4*t^6.51 + 8*t^6.64 + 9*t^6.77 + 11*t^6.91 + 9*t^7.04 + 6*t^7.17 + t^7.31 + t^7.44 + t^7.55 - t^7.57 + 3*t^7.68 + 6*t^7.81 + 6*t^7.95 + 5*t^8.08 - t^8.21 + t^8.32 - 2*t^8.35 + 2*t^8.45 - 6*t^8.48 + 4*t^8.59 - 4*t^8.61 + 8*t^8.72 - 3*t^8.75 + 14*t^8.85 + 17*t^8.99 - t^4.17/y - t^6.25/y - (2*t^6.39)/y - t^6.52/y - t^6.65/y + (2*t^7.29)/y + (2*t^7.43)/y + (4*t^7.56)/y + (5*t^7.69)/y + (3*t^7.83)/y + (3*t^7.96)/y + t^8.09/y - t^8.33/y - t^8.47/y - t^8.6/y + t^8.73/y + (2*t^8.87)/y - t^4.17*y - t^6.25*y - 2*t^6.39*y - t^6.52*y - t^6.65*y + 2*t^7.29*y + 2*t^7.43*y + 4*t^7.56*y + 5*t^7.69*y + 3*t^7.83*y + 3*t^7.96*y + t^8.09*y - t^8.33*y - t^8.47*y - t^8.6*y + t^8.73*y + 2*t^8.87*y | t^2.08/g1^24 + (2*t^2.21)/g1^14 + t^2.35/g1^4 + 2*g1^6*t^2.48 + t^3.39/g1^16 + t^3.52/g1^6 + g1^4*t^3.65 + t^4.16/g1^48 + (2*t^4.29)/g1^38 + (4*t^4.43)/g1^28 + (4*t^4.56)/g1^18 + (5*t^4.69)/g1^8 + 3*g1^2*t^4.83 + 3*g1^12*t^4.96 + t^5.47/g1^40 + (3*t^5.6)/g1^30 + (3*t^5.73)/g1^20 + (3*t^5.87)/g1^10 + t^6.24/g1^72 - g1^20*t^6.27 + (2*t^6.37)/g1^62 + (4*t^6.51)/g1^52 + (8*t^6.64)/g1^42 + (9*t^6.77)/g1^32 + (11*t^6.91)/g1^22 + (9*t^7.04)/g1^12 + (6*t^7.17)/g1^2 + g1^8*t^7.31 + g1^18*t^7.44 + t^7.55/g1^64 - g1^28*t^7.57 + (3*t^7.68)/g1^54 + (6*t^7.81)/g1^44 + (6*t^7.95)/g1^34 + (5*t^8.08)/g1^24 - t^8.21/g1^14 + t^8.32/g1^96 - (2*t^8.35)/g1^4 + (2*t^8.45)/g1^86 - 6*g1^6*t^8.48 + (4*t^8.59)/g1^76 - 4*g1^16*t^8.61 + (8*t^8.72)/g1^66 - 3*g1^26*t^8.75 + (14*t^8.85)/g1^56 + (17*t^8.99)/g1^46 - t^4.17/(g1^2*y) - t^6.25/(g1^26*y) - (2*t^6.39)/(g1^16*y) - t^6.52/(g1^6*y) - (g1^4*t^6.65)/y + (2*t^7.29)/(g1^38*y) + (2*t^7.43)/(g1^28*y) + (4*t^7.56)/(g1^18*y) + (5*t^7.69)/(g1^8*y) + (3*g1^2*t^7.83)/y + (3*g1^12*t^7.96)/y + (g1^22*t^8.09)/y - t^8.33/(g1^50*y) - t^8.47/(g1^40*y) - t^8.6/(g1^30*y) + t^8.73/(g1^20*y) + (2*t^8.87)/(g1^10*y) - (t^4.17*y)/g1^2 - (t^6.25*y)/g1^26 - (2*t^6.39*y)/g1^16 - (t^6.52*y)/g1^6 - g1^4*t^6.65*y + (2*t^7.29*y)/g1^38 + (2*t^7.43*y)/g1^28 + (4*t^7.56*y)/g1^18 + (5*t^7.69*y)/g1^8 + 3*g1^2*t^7.83*y + 3*g1^12*t^7.96*y + g1^22*t^8.09*y - (t^8.33*y)/g1^50 - (t^8.47*y)/g1^40 - (t^8.6*y)/g1^30 + (t^8.73*y)/g1^20 + (2*t^8.87*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3037 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ | 0.5843 | 0.7356 | 0.7943 | [X:[], M:[1.2632, 0.9474, 0.7368, 0.7368, 0.9474, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | 2*t^2.21 + t^2.53 + 2*t^2.84 + t^3.16 + t^3.47 + t^3.79 + t^4.11 + 3*t^4.42 + 3*t^4.74 + 5*t^5.05 + 3*t^5.37 + 4*t^5.68 + 2*t^6. - t^4.26/y - t^4.26*y | detail | {a: 32061/54872, c: 10091/13718, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 18/19, M6: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
| 3036 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ | 0.6064 | 0.7627 | 0.7951 | [X:[], M:[1.25, 0.9167, 0.75, 0.75, 0.9167, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 2*t^2.25 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^3.75 + t^4. + 3*t^4.5 + 3*t^4.75 + 5*t^5. + 4*t^5.25 + 3*t^5.5 + 2*t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 621/1024, c: 781/1024, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 11/12, M6: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
| 3040 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_6\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6839 | 0.8753 | 0.7814 | [X:[], M:[1.1814, 0.7566, 0.8186, 0.8186, 0.7566, 0.7256, 0.8496], q:[0.8031, 0.4403], qb:[0.3783, 0.8031], phi:[0.3938]] | t^2.18 + 2*t^2.27 + t^2.36 + 2*t^2.46 + t^2.55 + t^3.54 + t^3.64 + t^4.35 + 2*t^4.45 + 4*t^4.54 + 4*t^4.63 + 6*t^4.73 + 5*t^4.82 + 4*t^4.91 + 2*t^5. + t^5.1 + t^5.72 + 2*t^5.81 + t^5.91 - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 732 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ | 0.651 | 0.8164 | 0.7974 | [X:[], M:[1.1768, 0.7458, 0.8232, 0.8232, 0.7458], q:[0.8039, 0.4503], qb:[0.3729, 0.8039], phi:[0.3923]] | 2*t^2.24 + t^2.35 + 2*t^2.47 + t^3.41 + t^3.53 + t^3.65 + t^3.88 + 3*t^4.47 + 2*t^4.59 + 5*t^4.71 + 3*t^4.82 + 3*t^4.94 + 2*t^5.65 + 2*t^5.77 + 3*t^5.88 - t^4.18/y - t^4.18*y | detail |