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 |
|---|---|---|---|---|---|---|---|---|---|
| 52636 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_2$ | 0.7015 | 0.8773 | 0.7996 | [X:[], M:[0.9436, 1.0088, 1.1217, 0.7478, 0.8131, 0.7478], q:[0.5847, 0.4718], qb:[0.4065, 0.7804], phi:[0.4392]] | [X:[], M:[[-22], [-32], [12], [8], [-2], [8]], q:[[33], [-11]], qb:[[-1], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1q_2$, $ M_4M_5$, $ M_5M_6$, $ \phi_1q_1^2$, $ M_5^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_1M_6$, $ M_5\phi_1^2$, $ M_2M_4$, $ M_1M_5$, $ M_2M_6$, $ \phi_1^4$, $ M_2M_5$, $ M_1\phi_1^2$, $ M_3M_4$, $ M_3M_6$, $ M_1^2$, $ M_2\phi_1^2$, $ M_1M_2$ | . | -2 | 2*t^2.24 + t^2.44 + t^2.63 + t^2.83 + t^3.03 + t^3.37 + t^3.95 + t^4.1 + t^4.15 + t^4.29 + 4*t^4.49 + 2*t^4.68 + t^4.83 + 3*t^4.88 + 3*t^5.07 + 4*t^5.27 + t^5.47 + 2*t^5.61 + t^5.66 + t^5.86 - 2*t^6. + t^6.05 + t^6.2 + t^6.34 + 3*t^6.39 + 2*t^6.53 + t^6.59 + 7*t^6.73 + t^6.78 + 4*t^6.93 + t^6.98 + 2*t^7.07 + 4*t^7.12 + t^7.17 + t^7.26 + 6*t^7.32 + t^7.46 + 7*t^7.51 + 3*t^7.71 + 2*t^7.85 + 4*t^7.9 - t^8.05 + 4*t^8.1 + t^8.19 - 5*t^8.24 + 4*t^8.3 - 2*t^8.44 + 2*t^8.49 + t^8.58 + 2*t^8.63 + t^8.69 + 2*t^8.78 - 2*t^8.83 + t^8.88 + t^8.92 + 10*t^8.97 - t^4.32/y - (2*t^6.56)/y - t^6.76/y - t^7.15/y + t^7.29/y - t^7.34/y + (2*t^7.49)/y + (2*t^7.68)/y + (3*t^7.88)/y + (5*t^8.07)/y + (3*t^8.27)/y + (2*t^8.47)/y + (2*t^8.61)/y + t^8.66/y - (2*t^8.8)/y + t^8.86/y - t^4.32*y - 2*t^6.56*y - t^6.76*y - t^7.15*y + t^7.29*y - t^7.34*y + 2*t^7.49*y + 2*t^7.68*y + 3*t^7.88*y + 5*t^8.07*y + 3*t^8.27*y + 2*t^8.47*y + 2*t^8.61*y + t^8.66*y - 2*t^8.8*y + t^8.86*y | 2*g1^8*t^2.24 + t^2.44/g1^2 + t^2.63/g1^12 + t^2.83/g1^22 + t^3.03/g1^32 + g1^12*t^3.37 + t^3.95/g1^18 + g1^36*t^4.1 + t^4.15/g1^28 + g1^26*t^4.29 + 4*g1^16*t^4.49 + 2*g1^6*t^4.68 + g1^60*t^4.83 + (3*t^4.88)/g1^4 + (3*t^5.07)/g1^14 + (4*t^5.27)/g1^24 + t^5.47/g1^34 + 2*g1^20*t^5.61 + t^5.66/g1^44 + t^5.86/g1^54 - 2*t^6. + t^6.05/g1^64 + t^6.2/g1^10 + g1^44*t^6.34 + (3*t^6.39)/g1^20 + 2*g1^34*t^6.53 + t^6.59/g1^30 + 7*g1^24*t^6.73 + t^6.78/g1^40 + 4*g1^14*t^6.93 + t^6.98/g1^50 + 2*g1^68*t^7.07 + 4*g1^4*t^7.12 + t^7.17/g1^60 + g1^58*t^7.26 + (6*t^7.32)/g1^6 + g1^48*t^7.46 + (7*t^7.51)/g1^16 + (3*t^7.71)/g1^26 + 2*g1^28*t^7.85 + (4*t^7.9)/g1^36 - g1^18*t^8.05 + (4*t^8.1)/g1^46 + g1^72*t^8.19 - 5*g1^8*t^8.24 + (4*t^8.3)/g1^56 - (2*t^8.44)/g1^2 + (2*t^8.49)/g1^66 + g1^52*t^8.58 + (2*t^8.63)/g1^12 + t^8.69/g1^76 + 2*g1^42*t^8.78 - (2*t^8.83)/g1^22 + t^8.88/g1^86 + g1^96*t^8.92 + 10*g1^32*t^8.97 - t^4.32/(g1^6*y) - (2*g1^2*t^6.56)/y - t^6.76/(g1^8*y) - t^7.15/(g1^28*y) + (g1^26*t^7.29)/y - t^7.34/(g1^38*y) + (2*g1^16*t^7.49)/y + (2*g1^6*t^7.68)/y + (3*t^7.88)/(g1^4*y) + (5*t^8.07)/(g1^14*y) + (3*t^8.27)/(g1^24*y) + (2*t^8.47)/(g1^34*y) + (2*g1^20*t^8.61)/y + t^8.66/(g1^44*y) - (2*g1^10*t^8.8)/y + t^8.86/(g1^54*y) - (t^4.32*y)/g1^6 - 2*g1^2*t^6.56*y - (t^6.76*y)/g1^8 - (t^7.15*y)/g1^28 + g1^26*t^7.29*y - (t^7.34*y)/g1^38 + 2*g1^16*t^7.49*y + 2*g1^6*t^7.68*y + (3*t^7.88*y)/g1^4 + (5*t^8.07*y)/g1^14 + (3*t^8.27*y)/g1^24 + (2*t^8.47*y)/g1^34 + 2*g1^20*t^8.61*y + (t^8.66*y)/g1^44 - 2*g1^10*t^8.8*y + (t^8.86*y)/g1^54 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56432 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_2$ + $ M_1M_2$ | 0.7007 | 0.8767 | 0.7993 | [X:[], M:[0.963, 1.037, 1.1111, 0.7407, 0.8148, 0.7407], q:[0.5556, 0.4815], qb:[0.4074, 0.7778], phi:[0.4444]] | 2*t^2.22 + t^2.44 + t^2.67 + t^2.89 + t^3.11 + t^3.33 + 2*t^4. + 2*t^4.22 + 4*t^4.44 + 3*t^4.67 + 3*t^4.89 + 3*t^5.11 + 4*t^5.33 + 3*t^5.56 + t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 3065/4374, c: 7669/8748, M1: 26/27, M2: 28/27, M3: 10/9, M4: 20/27, M5: 22/27, M6: 20/27, q1: 5/9, q2: 13/27, qb1: 11/27, qb2: 7/9, phi1: 4/9} |
| 56433 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_2$ + $ M_1M_7$ | 0.6973 | 0.8712 | 0.8004 | [X:[], M:[0.9668, 1.0426, 1.109, 0.7394, 0.8152, 0.7394, 1.0332], q:[0.5498, 0.4834], qb:[0.4076, 0.7773], phi:[0.4455]] | 2*t^2.22 + t^2.45 + t^2.67 + t^3.1 + t^3.13 + t^3.33 + t^3.98 + t^4.01 + t^4.21 + t^4.24 + 4*t^4.44 + t^4.64 + 2*t^4.66 + 3*t^4.89 + t^5.12 + 2*t^5.32 + 3*t^5.35 + 3*t^5.55 + t^5.77 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 56434 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_2$ + $ M_2M_7$ | 0.7046 | 0.8841 | 0.7969 | [X:[], M:[0.9765, 1.0567, 1.1037, 0.7358, 0.816, 0.7358, 0.9433], q:[0.5353, 0.4882], qb:[0.408, 0.7759], phi:[0.4481]] | 2*t^2.21 + t^2.45 + t^2.69 + t^2.83 + t^2.93 + t^3.31 + t^3.93 + t^4.03 + t^4.17 + t^4.27 + 4*t^4.41 + t^4.56 + 2*t^4.66 + 3*t^4.9 + 2*t^5.04 + 3*t^5.14 + t^5.28 + 2*t^5.38 + 3*t^5.52 + t^5.66 + t^5.76 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 56435 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.7222 | 0.918 | 0.7868 | [X:[], M:[0.9452, 1.0112, 1.1208, 0.7472, 0.8132, 0.7472, 0.6812], q:[0.5822, 0.4726], qb:[0.4066, 0.7802], phi:[0.4396]] | t^2.04 + 2*t^2.24 + t^2.44 + t^2.64 + t^2.84 + t^3.03 + t^3.36 + 2*t^4.09 + t^4.15 + 3*t^4.29 + 5*t^4.48 + 3*t^4.68 + t^4.81 + 4*t^4.88 + 4*t^5.08 + 4*t^5.28 + t^5.41 + t^5.47 + 2*t^5.6 + t^5.67 + t^5.87 - 2*t^6. - t^4.32/y - t^4.32*y | detail | {a: 154491721/213903408, c: 98181703/106951704, M1: 5986/6333, M2: 6404/6333, M3: 2366/2111, M4: 4732/6333, M5: 5150/6333, M6: 4732/6333, M7: 1438/2111, q1: 1229/2111, q2: 2993/6333, qb1: 2575/6333, qb2: 1647/2111, phi1: 928/2111} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48185 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.6824 | 0.8425 | 0.8099 | [X:[], M:[0.9398, 1.0033, 1.1237, 0.7492, 0.8127], q:[0.5903, 0.4699], qb:[0.4064, 0.7809], phi:[0.4381]] | t^2.25 + t^2.44 + t^2.63 + t^2.82 + t^3.01 + t^3.37 + t^3.75 + t^3.94 + t^4.11 + t^4.13 + t^4.3 + 2*t^4.49 + t^4.69 + t^4.86 + 2*t^4.88 + 2*t^5.07 + 3*t^5.26 + t^5.45 + t^5.62 + t^5.64 + t^5.83 - t^6. - t^4.31/y - t^4.31*y | detail |