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 |
|---|---|---|---|---|---|---|---|---|---|
| 4428 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.692 | 0.8909 | 0.7768 | [X:[1.5565], M:[0.4435, 1.1855, 0.7782, 0.887, 0.8145, 0.6695, 0.742, 0.7782], q:[0.7964, 0.7601], qb:[0.4616, 0.3529], phi:[0.4073]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-4], [36], [16], [6]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_7$, $ M_3$, $ M_8$, $ M_5$, $ \phi_1^2$, $ M_4$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_6^2$, $ M_6M_7$, $ M_3M_6$, $ M_6M_8$, $ M_5M_6$, $ M_7^2$, $ M_6\phi_1^2$, $ M_3M_7$, $ M_7M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_4M_6$, $ M_5M_7$, $ M_3M_8$, $ M_8^2$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_5$, $ M_5M_8$, $ M_3\phi_1^2$, $ M_8\phi_1^2$, $ M_5^2$, $ M_4M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_4M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_4^2$, $ M_6q_2\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_8q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_3q_1\tilde{q}_2$, $ M_8q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$ | . | -3 | t^2.01 + t^2.23 + 2*t^2.33 + 2*t^2.44 + t^2.66 + t^3.34 + t^3.45 + t^4.02 + t^4.23 + 2*t^4.34 + 3*t^4.45 + 3*t^4.56 + 7*t^4.67 + 3*t^4.78 + 5*t^4.89 + 2*t^5. + t^5.1 + t^5.32 + t^5.35 + t^5.46 + t^5.56 + 2*t^5.67 + 5*t^5.78 + t^5.89 - 3*t^6. + t^6.03 - t^6.22 + t^6.24 - 2*t^6.33 + 2*t^6.35 + 3*t^6.46 + 3*t^6.57 + 9*t^6.68 + 7*t^6.79 + 11*t^6.9 + 11*t^7. + 9*t^7.11 + 5*t^7.22 + 9*t^7.33 + t^7.36 + t^7.44 + t^7.46 + t^7.55 + t^7.57 + 2*t^7.66 + 2*t^7.68 + t^7.77 + 6*t^7.79 + 4*t^7.9 + t^7.98 + 4*t^8.01 + t^8.03 + 6*t^8.12 + t^8.25 - 8*t^8.33 + 2*t^8.36 - 8*t^8.44 + 3*t^8.47 - 6*t^8.55 + 3*t^8.58 - 9*t^8.66 + 9*t^8.69 - 3*t^8.77 + 7*t^8.8 - t^8.88 + 13*t^8.9 - 2*t^8.99 - t^4.22/y - t^6.23/y - t^6.45/y - (2*t^6.56)/y - t^6.67/y - t^6.88/y + t^7.23/y + (2*t^7.34)/y + (2*t^7.45)/y + (3*t^7.56)/y + (4*t^7.67)/y + (5*t^7.78)/y + (4*t^7.89)/y + (3*t^8.)/y + (2*t^8.1)/y + t^8.21/y - t^8.24/y + t^8.35/y - t^8.56/y + t^8.67/y + (2*t^8.78)/y - (3*t^8.89)/y - t^4.22*y - t^6.23*y - t^6.45*y - 2*t^6.56*y - t^6.67*y - t^6.88*y + t^7.23*y + 2*t^7.34*y + 2*t^7.45*y + 3*t^7.56*y + 4*t^7.67*y + 5*t^7.78*y + 4*t^7.89*y + 3*t^8.*y + 2*t^8.1*y + t^8.21*y - t^8.24*y + t^8.35*y - t^8.56*y + t^8.67*y + 2*t^8.78*y - 3*t^8.89*y | g1^36*t^2.01 + g1^16*t^2.23 + 2*g1^6*t^2.33 + (2*t^2.44)/g1^4 + t^2.66/g1^24 + g1^24*t^3.34 + g1^14*t^3.45 + g1^72*t^4.02 + g1^52*t^4.23 + 2*g1^42*t^4.34 + 3*g1^32*t^4.45 + 3*g1^22*t^4.56 + 7*g1^12*t^4.67 + 3*g1^2*t^4.78 + (5*t^4.89)/g1^8 + (2*t^5.)/g1^18 + t^5.1/g1^28 + t^5.32/g1^48 + g1^60*t^5.35 + g1^50*t^5.46 + g1^40*t^5.56 + 2*g1^30*t^5.67 + 5*g1^20*t^5.78 + g1^10*t^5.89 - 3*t^6. + g1^108*t^6.03 - t^6.22/g1^20 + g1^88*t^6.24 - (2*t^6.33)/g1^30 + 2*g1^78*t^6.35 + 3*g1^68*t^6.46 + 3*g1^58*t^6.57 + 9*g1^48*t^6.68 + 7*g1^38*t^6.79 + 11*g1^28*t^6.9 + 11*g1^18*t^7. + 9*g1^8*t^7.11 + (5*t^7.22)/g1^2 + (9*t^7.33)/g1^12 + g1^96*t^7.36 + t^7.44/g1^22 + g1^86*t^7.46 + t^7.55/g1^32 + g1^76*t^7.57 + (2*t^7.66)/g1^42 + 2*g1^66*t^7.68 + t^7.77/g1^52 + 6*g1^56*t^7.79 + 4*g1^46*t^7.9 + t^7.98/g1^72 + 4*g1^36*t^8.01 + g1^144*t^8.03 + 6*g1^26*t^8.12 + g1^124*t^8.25 - 8*g1^6*t^8.33 + 2*g1^114*t^8.36 - (8*t^8.44)/g1^4 + 3*g1^104*t^8.47 - (6*t^8.55)/g1^14 + 3*g1^94*t^8.58 - (9*t^8.66)/g1^24 + 9*g1^84*t^8.69 - (3*t^8.77)/g1^34 + 7*g1^74*t^8.8 - t^8.88/g1^44 + 13*g1^64*t^8.9 - (2*t^8.99)/g1^54 - t^4.22/(g1^2*y) - (g1^34*t^6.23)/y - (g1^14*t^6.45)/y - (2*g1^4*t^6.56)/y - t^6.67/(g1^6*y) - t^6.88/(g1^26*y) + (g1^52*t^7.23)/y + (2*g1^42*t^7.34)/y + (2*g1^32*t^7.45)/y + (3*g1^22*t^7.56)/y + (4*g1^12*t^7.67)/y + (5*g1^2*t^7.78)/y + (4*t^7.89)/(g1^8*y) + (3*t^8.)/(g1^18*y) + (2*t^8.1)/(g1^28*y) + t^8.21/(g1^38*y) - (g1^70*t^8.24)/y + (g1^60*t^8.35)/y - (g1^40*t^8.56)/y + (g1^30*t^8.67)/y + (2*g1^20*t^8.78)/y - (3*g1^10*t^8.89)/y - (t^4.22*y)/g1^2 - g1^34*t^6.23*y - g1^14*t^6.45*y - 2*g1^4*t^6.56*y - (t^6.67*y)/g1^6 - (t^6.88*y)/g1^26 + g1^52*t^7.23*y + 2*g1^42*t^7.34*y + 2*g1^32*t^7.45*y + 3*g1^22*t^7.56*y + 4*g1^12*t^7.67*y + 5*g1^2*t^7.78*y + (4*t^7.89*y)/g1^8 + (3*t^8.*y)/g1^18 + (2*t^8.1*y)/g1^28 + (t^8.21*y)/g1^38 - g1^70*t^8.24*y + g1^60*t^8.35*y - g1^40*t^8.56*y + g1^30*t^8.67*y + 2*g1^20*t^8.78*y - 3*g1^10*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 5935 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ + $ M_4X_2$ | 0.5253 | 0.6562 | 0.8004 | [X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 0.7619, 1.1429, 0.9524, 0.8571], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]] | 2*t^2.29 + 2*t^2.57 + t^2.86 + t^3.43 + 2*t^4.29 + 4*t^4.57 + 3*t^4.86 + 4*t^5.14 + 2*t^5.43 + 2*t^5.71 - 2*t^6. - t^4.14/y - t^4.14*y | detail | {a: 1081/2058, c: 2701/4116, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 16/21, M6: 8/7, M7: 20/21, M8: 6/7, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21} |
| 5934 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6M_7$ + $ M_4X_2$ | 0.5595 | 0.6989 | 0.8005 | [X:[1.6923, 1.3846], M:[0.3077, 1.2308, 0.8462, 0.6154, 0.7692, 1.0769, 0.9231, 0.8462], q:[0.8077, 0.8846], qb:[0.2692, 0.5], phi:[0.3846]] | 2*t^2.31 + 2*t^2.54 + t^2.77 + t^3.23 + t^3.92 + t^4.15 + 4*t^4.62 + 3*t^4.85 + 6*t^5.08 + t^5.31 + 2*t^5.54 + t^5.77 - 3*t^6. - t^4.15/y - t^4.15*y | detail | {a: 4917/8788, c: 24569/35152, X1: 22/13, X2: 18/13, M1: 4/13, M2: 16/13, M3: 11/13, M4: 8/13, M5: 10/13, M6: 14/13, M7: 12/13, M8: 11/13, q1: 21/26, q2: 23/26, qb1: 7/26, qb2: 1/2, phi1: 5/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2400 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ | 0.6743 | 0.8589 | 0.7851 | [X:[1.5584], M:[0.4416, 1.1861, 0.7792, 0.8832, 0.8139, 0.6753, 0.7446], q:[0.7965, 0.7619], qb:[0.4589, 0.355], phi:[0.4069]] | t^2.03 + t^2.23 + t^2.34 + 2*t^2.44 + t^2.65 + t^3.35 + t^3.45 + t^3.66 + t^4.05 + t^4.26 + t^4.36 + 3*t^4.47 + 2*t^4.57 + 5*t^4.68 + t^4.78 + 5*t^4.88 + t^4.99 + t^5.09 + t^5.3 + t^5.38 + t^5.48 + t^5.58 + 2*t^5.69 + 4*t^5.79 + 2*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*y | detail |