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 |
|---|---|---|---|---|---|---|---|---|---|
| 718 | 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_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.6858 | 0.8499 | 0.8069 | [X:[], M:[1.011, 1.1209, 0.945, 0.7473, 0.7473], q:[0.7802, 0.4066], qb:[0.5825, 0.4725], phi:[0.4396]] | [X:[], M:[[32], [-12], [22], [-8], [-8]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_3M_4$, $ M_3M_5$, $ M_1M_4$, $ M_1M_5$, $ \phi_1^4$, $ M_2M_4$, $ M_2M_5$, $ M_3^2$, $ M_1\phi_1^2$, $ M_4q_1q_2$, $ M_5q_1q_2$, $ M_1M_3$ | . | -2 | 2*t^2.24 + t^2.64 + t^2.84 + t^3.03 + t^3.36 + t^3.56 + t^3.96 + t^4.09 + t^4.15 + t^4.29 + 4*t^4.48 + t^4.81 + 2*t^4.88 + 2*t^5.08 + 3*t^5.27 + 2*t^5.6 + t^5.67 + t^5.8 + t^5.87 - 2*t^6. + t^6.07 + 2*t^6.2 + t^6.33 + 3*t^6.4 + t^6.53 + t^6.59 + 6*t^6.73 + t^6.79 + t^6.92 + t^6.99 + 2*t^7.06 + 3*t^7.12 + t^7.19 + 3*t^7.32 + t^7.45 + 5*t^7.52 + t^7.65 + 3*t^7.85 + 3*t^7.91 + t^8.04 + 3*t^8.11 + t^8.18 - 5*t^8.24 + 3*t^8.31 + t^8.37 + 2*t^8.44 + t^8.51 + t^8.57 + 3*t^8.64 + t^8.7 + t^8.77 - 2*t^8.84 + 2*t^8.9 + 8*t^8.97 - t^4.32/y - (2*t^6.56)/y - t^7.15/y + t^7.29/y - t^7.35/y + (2*t^7.48)/y + (2*t^7.88)/y + (4*t^8.08)/y + (2*t^8.27)/y + t^8.47/y + (2*t^8.6)/y + t^8.67/y - t^8.8/y + t^8.87/y - t^4.32*y - 2*t^6.56*y - t^7.15*y + t^7.29*y - t^7.35*y + 2*t^7.48*y + 2*t^7.88*y + 4*t^8.08*y + 2*t^8.27*y + t^8.47*y + 2*t^8.6*y + t^8.67*y - t^8.8*y + t^8.87*y | (2*t^2.24)/g1^8 + g1^12*t^2.64 + g1^22*t^2.84 + g1^32*t^3.03 + t^3.36/g1^12 + t^3.56/g1^2 + g1^18*t^3.96 + t^4.09/g1^36 + g1^28*t^4.15 + t^4.29/g1^26 + (4*t^4.48)/g1^16 + t^4.81/g1^60 + 2*g1^4*t^4.88 + 2*g1^14*t^5.08 + 3*g1^24*t^5.27 + (2*t^5.6)/g1^20 + g1^44*t^5.67 + t^5.8/g1^10 + g1^54*t^5.87 - 2*t^6. + g1^64*t^6.07 + 2*g1^10*t^6.2 + t^6.33/g1^44 + 3*g1^20*t^6.4 + t^6.53/g1^34 + g1^30*t^6.59 + (6*t^6.73)/g1^24 + g1^40*t^6.79 + t^6.92/g1^14 + g1^50*t^6.99 + (2*t^7.06)/g1^68 + (3*t^7.12)/g1^4 + g1^60*t^7.19 + 3*g1^6*t^7.32 + t^7.45/g1^48 + 5*g1^16*t^7.52 + t^7.65/g1^38 + (3*t^7.85)/g1^28 + 3*g1^36*t^7.91 + t^8.04/g1^18 + 3*g1^46*t^8.11 + t^8.18/g1^72 - (5*t^8.24)/g1^8 + 3*g1^56*t^8.31 + t^8.37/g1^62 + 2*g1^2*t^8.44 + g1^66*t^8.51 + t^8.57/g1^52 + 3*g1^12*t^8.64 + g1^76*t^8.7 + t^8.77/g1^42 - 2*g1^22*t^8.84 + t^8.9/g1^96 + g1^86*t^8.9 + (8*t^8.97)/g1^32 - (g1^6*t^4.32)/y - (2*t^6.56)/(g1^2*y) - (g1^28*t^7.15)/y + t^7.29/(g1^26*y) - (g1^38*t^7.35)/y + (2*t^7.48)/(g1^16*y) + (2*g1^4*t^7.88)/y + (4*g1^14*t^8.08)/y + (2*g1^24*t^8.27)/y + (g1^34*t^8.47)/y + (2*t^8.6)/(g1^20*y) + (g1^44*t^8.67)/y - t^8.8/(g1^10*y) + (g1^54*t^8.87)/y - g1^6*t^4.32*y - (2*t^6.56*y)/g1^2 - g1^28*t^7.15*y + (t^7.29*y)/g1^26 - g1^38*t^7.35*y + (2*t^7.48*y)/g1^16 + 2*g1^4*t^7.88*y + 4*g1^14*t^8.08*y + 2*g1^24*t^8.27*y + g1^34*t^8.47*y + (2*t^8.6*y)/g1^20 + g1^44*t^8.67*y - (t^8.8*y)/g1^10 + g1^54*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 1183 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_3$ | 0.6852 | 0.8495 | 0.8065 | [X:[], M:[1.037, 1.1111, 0.963, 0.7407, 0.7407], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | 2*t^2.22 + t^2.67 + t^2.89 + t^3.11 + t^3.33 + t^3.56 + 2*t^4. + 2*t^4.22 + 4*t^4.44 + t^4.67 + 2*t^4.89 + 2*t^5.11 + 3*t^5.33 + 2*t^5.56 + 2*t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 23975/34992, c: 14863/17496, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, M5: 20/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
| 1184 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_6$ | 0.6891 | 0.8573 | 0.8038 | [X:[], M:[1.0587, 1.103, 0.9779, 0.7353, 0.7353, 0.9413], q:[0.7757, 0.4081], qb:[0.5332, 0.4889], phi:[0.4485]] | 2*t^2.21 + t^2.69 + t^2.82 + t^2.93 + t^3.31 + t^3.55 + t^3.93 + t^4.04 + t^4.17 + t^4.28 + 4*t^4.41 + t^4.54 + 2*t^4.9 + 2*t^5.03 + 2*t^5.14 + t^5.38 + 3*t^5.51 + t^5.65 + 2*t^5.76 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
| 1181 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.7066 | 0.8907 | 0.7932 | [X:[], M:[1.0132, 1.1201, 0.9466, 0.7467, 0.7467, 0.6801], q:[0.78, 0.4067], qb:[0.5802, 0.4733], phi:[0.44]] | t^2.04 + 2*t^2.24 + t^2.64 + t^2.84 + t^3.04 + t^3.36 + t^3.56 + 2*t^4.08 + t^4.16 + 3*t^4.28 + 4*t^4.48 + t^4.68 + t^4.8 + 3*t^4.88 + 3*t^5.08 + 3*t^5.28 + t^5.4 + 3*t^5.6 + t^5.68 + t^5.8 + t^5.88 - 2*t^6. - t^4.32/y - t^4.32*y | detail | {a: 302420677/428009496, c: 95310743/107002374, M1: 12836/12669, M2: 4730/4223, M3: 11992/12669, M4: 9460/12669, M5: 9460/12669, M6: 2872/4223, q1: 3294/4223, q2: 5152/12669, qb1: 2450/4223, qb2: 5996/12669, phi1: 1858/4223} |
| 1179 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.7015 | 0.8773 | 0.7996 | [X:[], M:[1.0088, 1.1217, 0.9436, 0.7478, 0.7478, 0.8131], q:[0.7804, 0.4065], qb:[0.5847, 0.4718], phi:[0.4392]] | 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^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 430 | 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_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ | 0.6667 | 0.8151 | 0.8179 | [X:[], M:[1.0055, 1.1229, 0.9413, 0.7486], q:[0.7807, 0.4064], qb:[0.588, 0.4707], phi:[0.4385]] | t^2.25 + t^2.63 + t^2.82 + t^3.02 + t^3.37 + t^3.56 + t^3.75 + t^3.95 + t^4.11 + t^4.14 + t^4.3 + 2*t^4.49 + t^4.84 + t^4.88 + t^5.07 + 2*t^5.26 + t^5.61 + t^5.65 + t^5.84 - t^6. - t^4.32/y - t^4.32*y | detail |