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 |
|---|---|---|---|---|---|---|---|---|---|
| 2962 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1^2$ | 0.6751 | 0.8503 | 0.7939 | [X:[], M:[0.8345, 1.0552, 1.1655, 0.7242, 1.0552, 0.7242], q:[0.4017, 0.7638], qb:[0.4329, 0.512], phi:[0.4724]] | [X:[], M:[[-12], [4], [12], [-20], [4], [-20]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_1$, $ q_1\tilde{q}_2$, $ M_2$, $ M_5$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_1M_6$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_4M_5$, $ M_2M_6$, $ M_5M_6$, $ q_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_3M_4$, $ M_1M_5$, $ M_3M_6$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$ | . | -2 | 2*t^2.17 + t^2.5 + t^2.74 + 2*t^3.17 + t^3.5 + t^3.59 + t^3.92 + t^4.01 + t^4.16 + t^4.25 + 3*t^4.35 + t^4.49 + 2*t^4.68 + 2*t^4.91 + t^5.01 + t^5.24 + 4*t^5.34 + t^5.48 + 3*t^5.67 + t^5.76 + t^5.91 - 2*t^6. + 2*t^6.09 + 2*t^6.19 + 3*t^6.33 + 2*t^6.42 + 5*t^6.52 + 4*t^6.66 + 2*t^6.76 + 3*t^6.85 + t^6.9 + 3*t^7.09 + 3*t^7.18 + t^7.23 + t^7.42 + 7*t^7.51 + t^7.6 + 2*t^7.65 + 5*t^7.84 + 2*t^7.94 + t^7.99 + t^8.03 + t^8.08 - 3*t^8.17 + t^8.22 + 3*t^8.27 + 3*t^8.36 + 3*t^8.5 + 3*t^8.6 + 2*t^8.65 + 7*t^8.69 - 2*t^8.74 + 5*t^8.83 + 3*t^8.93 + t^8.98 - t^4.42/y - (2*t^6.59)/y + t^7.25/y + t^7.35/y - t^7.58/y + (2*t^7.68)/y + (2*t^7.91)/y + (3*t^8.24)/y + (4*t^8.34)/y + (4*t^8.67)/y - t^8.76/y + (2*t^8.91)/y - t^4.42*y - 2*t^6.59*y + t^7.25*y + t^7.35*y - t^7.58*y + 2*t^7.68*y + 2*t^7.91*y + 3*t^8.24*y + 4*t^8.34*y + 4*t^8.67*y - t^8.76*y + 2*t^8.91*y | (2*t^2.17)/g1^20 + t^2.5/g1^12 + g1^30*t^2.74 + 2*g1^4*t^3.17 + g1^12*t^3.5 + t^3.59/g1^22 + t^3.92/g1^14 + t^4.01/g1^48 + g1^28*t^4.16 + t^4.25/g1^6 + (3*t^4.35)/g1^40 + g1^36*t^4.49 + (2*t^4.68)/g1^32 + 2*g1^10*t^4.91 + t^5.01/g1^24 + g1^18*t^5.24 + (4*t^5.34)/g1^16 + g1^60*t^5.48 + (3*t^5.67)/g1^8 + t^5.76/g1^42 + g1^34*t^5.91 - 2*t^6. + (2*t^6.09)/g1^34 + (2*t^6.19)/g1^68 + 3*g1^8*t^6.33 + (2*t^6.42)/g1^26 + (5*t^6.52)/g1^60 + 4*g1^16*t^6.66 + (2*t^6.76)/g1^18 + (3*t^6.85)/g1^52 + g1^58*t^6.9 + (3*t^7.09)/g1^10 + (3*t^7.18)/g1^44 + g1^66*t^7.23 + t^7.42/g1^2 + (7*t^7.51)/g1^36 + t^7.6/g1^70 + 2*g1^40*t^7.65 + (5*t^7.84)/g1^28 + (2*t^7.94)/g1^62 + g1^48*t^7.99 + t^8.03/g1^96 + g1^14*t^8.08 - (3*t^8.17)/g1^20 + g1^90*t^8.22 + (3*t^8.27)/g1^54 + (3*t^8.36)/g1^88 + (3*t^8.5)/g1^12 + (3*t^8.6)/g1^46 + 2*g1^64*t^8.65 + (7*t^8.69)/g1^80 - 2*g1^30*t^8.74 + (5*t^8.83)/g1^4 + (3*t^8.93)/g1^38 + g1^72*t^8.98 - t^4.42/(g1^2*y) - (2*t^6.59)/(g1^22*y) + t^7.25/(g1^6*y) + t^7.35/(g1^40*y) - (g1^2*t^7.58)/y + (2*t^7.68)/(g1^32*y) + (2*g1^10*t^7.91)/y + (3*g1^18*t^8.24)/y + (4*t^8.34)/(g1^16*y) + (4*t^8.67)/(g1^8*y) - t^8.76/(g1^42*y) + (2*g1^34*t^8.91)/y - (t^4.42*y)/g1^2 - (2*t^6.59*y)/g1^22 + (t^7.25*y)/g1^6 + (t^7.35*y)/g1^40 - g1^2*t^7.58*y + (2*t^7.68*y)/g1^32 + 2*g1^10*t^7.91*y + 3*g1^18*t^8.24*y + (4*t^8.34*y)/g1^16 + (4*t^8.67*y)/g1^8 - (t^8.76*y)/g1^42 + 2*g1^34*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 3556 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1^2$ + $ M_4q_2\tilde{q}_1$ | 0.6712 | 0.8438 | 0.7954 | [X:[], M:[0.8571, 1.0476, 1.1429, 0.7619, 1.0476, 0.7619], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]] | 2*t^2.29 + 2*t^2.57 + 2*t^3.14 + t^3.43 + t^3.71 + 2*t^4. + 3*t^4.29 + 3*t^4.57 + 4*t^4.86 + 3*t^5.14 + 4*t^5.43 + 4*t^5.71 - t^6. - t^4.43/y - t^4.43*y | detail | {a: 5525/8232, c: 3473/4116, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 22/21, M6: 16/21, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21} |
| 3557 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1^2$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.6957 | 0.8901 | 0.7816 | [X:[], M:[0.8356, 1.0548, 1.1644, 0.7259, 1.0548, 0.7259, 0.6918], q:[0.4007, 0.7637], qb:[0.4348, 0.5103], phi:[0.4726]] | t^2.08 + 2*t^2.18 + t^2.51 + t^2.73 + 2*t^3.16 + t^3.49 + t^3.6 + t^4.03 + 2*t^4.15 + 3*t^4.25 + 3*t^4.36 + t^4.48 + t^4.58 + 2*t^4.68 + t^4.81 + 2*t^4.91 + t^5.01 + 3*t^5.24 + 4*t^5.34 + t^5.47 + t^5.57 + 4*t^5.67 + t^5.77 + t^5.9 - 2*t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1931 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ | 0.6552 | 0.8131 | 0.8058 | [X:[], M:[0.838, 1.054, 1.162, 0.73, 1.054], q:[0.3985, 0.7635], qb:[0.4395, 0.5065], phi:[0.473]] | t^2.19 + t^2.51 + t^2.71 + 2*t^3.16 + t^3.49 + t^3.61 + t^3.81 + t^3.93 + t^4.06 + t^4.13 + t^4.26 + t^4.38 + t^4.46 + t^4.7 + t^4.9 + t^5.03 + t^5.23 + 2*t^5.35 + t^5.43 + 2*t^5.68 + t^5.88 - t^6. - t^4.42/y - t^4.42*y | detail |