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 |
|---|---|---|---|---|---|---|---|---|---|
| 4362 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1X_1$ + $ M_8\phi_1q_2^2$ | 0.5706 | 0.7117 | 0.8018 | [X:[1.3642], M:[0.6358, 1.1571, 1.05, 0.7357, 0.95, 1.2643, 0.95, 0.7429], q:[0.9464, 0.4178], qb:[0.3179, 0.6321], phi:[0.4214]] | [X:[[22]], M:[[-22], [4], [14], [6], [-14], [-6], [-14], [-32]], q:[[5], [17]], qb:[[-11], [-3]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_8$, $ M_5$, $ M_7$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_6$, $ X_1$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_8$, $ M_8^2$, $ q_1\tilde{q}_2$, $ M_4M_5$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_5M_8$, $ M_7M_8$, $ M_8\phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_2M_8$, $ M_8\phi_1q_2\tilde{q}_1$ | . | -2 | t^2.21 + t^2.23 + 2*t^2.85 + t^3.17 + 2*t^3.47 + t^3.79 + t^4.09 + t^4.41 + t^4.44 + t^4.46 + t^4.74 + 2*t^5.06 + 2*t^5.08 + t^5.4 + t^5.68 + 4*t^5.7 - 2*t^6. + 3*t^6.02 + 3*t^6.32 + t^6.34 - t^6.62 + 3*t^6.64 + t^6.66 + t^6.69 + 2*t^6.94 + t^6.96 - t^7.24 + 2*t^7.26 + 2*t^7.29 + 2*t^7.31 + t^7.59 + t^7.63 + 3*t^7.91 + 4*t^7.93 + t^8.19 - 2*t^8.21 - 2*t^8.23 + 3*t^8.25 - t^8.51 + t^8.53 + 5*t^8.55 + t^8.57 - t^8.83 - 6*t^8.85 + 5*t^8.87 + t^8.89 + t^8.92 - t^4.26/y - t^6.49/y - t^7.11/y + t^7.41/y + t^7.44/y + t^8.04/y + (2*t^8.06)/y + (2*t^8.08)/y + t^8.38/y + t^8.4/y + (2*t^8.68)/y + (3*t^8.7)/y - t^8.72/y - t^4.26*y - t^6.49*y - t^7.11*y + t^7.41*y + t^7.44*y + t^8.04*y + 2*t^8.06*y + 2*t^8.08*y + t^8.38*y + t^8.4*y + 2*t^8.68*y + 3*t^8.7*y - t^8.72*y | g1^6*t^2.21 + t^2.23/g1^32 + (2*t^2.85)/g1^14 + t^3.17/g1^24 + 2*g1^4*t^3.47 + t^3.79/g1^6 + g1^22*t^4.09 + g1^12*t^4.41 + t^4.44/g1^26 + t^4.46/g1^64 + g1^2*t^4.74 + (2*t^5.06)/g1^8 + (2*t^5.08)/g1^46 + t^5.4/g1^56 + g1^10*t^5.68 + (4*t^5.7)/g1^28 - 2*t^6. + (3*t^6.02)/g1^38 + (3*t^6.32)/g1^10 + t^6.34/g1^48 - g1^18*t^6.62 + (3*t^6.64)/g1^20 + t^6.66/g1^58 + t^6.69/g1^96 + 2*g1^8*t^6.94 + t^6.96/g1^30 - g1^36*t^7.24 + (2*t^7.26)/g1^2 + (2*t^7.29)/g1^40 + (2*t^7.31)/g1^78 + t^7.59/g1^12 + t^7.63/g1^88 + (3*t^7.91)/g1^22 + (4*t^7.93)/g1^60 + g1^44*t^8.19 - 2*g1^6*t^8.21 - (2*t^8.23)/g1^32 + (3*t^8.25)/g1^70 - g1^34*t^8.51 + t^8.53/g1^4 + (5*t^8.55)/g1^42 + t^8.57/g1^80 - g1^24*t^8.83 - (6*t^8.85)/g1^14 + (5*t^8.87)/g1^52 + t^8.89/g1^90 + t^8.92/g1^128 - t^4.26/(g1^2*y) - t^6.49/(g1^34*y) - t^7.11/(g1^16*y) + (g1^12*t^7.41)/y + t^7.44/(g1^26*y) + (g1^30*t^8.04)/y + (2*t^8.06)/(g1^8*y) + (2*t^8.08)/(g1^46*y) + t^8.38/(g1^18*y) + t^8.4/(g1^56*y) + (2*g1^10*t^8.68)/y + (3*t^8.7)/(g1^28*y) - t^8.72/(g1^66*y) - (t^4.26*y)/g1^2 - (t^6.49*y)/g1^34 - (t^7.11*y)/g1^16 + g1^12*t^7.41*y + (t^7.44*y)/g1^26 + g1^30*t^8.04*y + (2*t^8.06*y)/g1^8 + (2*t^8.08*y)/g1^46 + (t^8.38*y)/g1^18 + (t^8.4*y)/g1^56 + 2*g1^10*t^8.68*y + (3*t^8.7*y)/g1^28 - (t^8.72*y)/g1^66 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5818 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1X_1$ + $ M_8\phi_1q_2^2$ + $ M_6M_9$ | 0.5902 | 0.7476 | 0.7895 | [X:[1.3608], M:[0.6392, 1.1565, 1.0478, 0.7348, 0.9522, 1.2652, 0.9522, 0.7479, 0.7348], q:[0.9456, 0.4152], qb:[0.3196, 0.6326], phi:[0.4217]] | 2*t^2.2 + t^2.24 + 2*t^2.86 + t^3.18 + 2*t^3.47 + t^4.08 + 3*t^4.41 + 2*t^4.45 + t^4.49 + t^4.73 + 4*t^5.06 + 2*t^5.1 + t^5.39 + t^5.43 + 3*t^5.67 + 4*t^5.71 - 3*t^6. - t^4.27/y - t^4.27*y | detail | |
| 5837 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1X_1$ + $ M_8\phi_1q_2^2$ + $ M_8^2$ | 0.5318 | 0.6568 | 0.8097 | [X:[1.1875], M:[0.8125, 1.125, 0.9375, 0.6875, 1.0625, 1.3125, 1.0625, 1.0], q:[0.9062, 0.2812], qb:[0.4062, 0.6562], phi:[0.4375]] | t^2.06 + t^3. + 2*t^3.19 + 2*t^3.38 + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.69 + t^5.06 + 2*t^5.25 + t^5.44 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 34851/65536, c: 43043/65536, X1: 19/16, M1: 13/16, M2: 9/8, M3: 15/16, M4: 11/16, M5: 17/16, M6: 21/16, M7: 17/16, M8: 1, q1: 29/32, q2: 9/32, qb1: 13/32, qb2: 21/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2366 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1X_1$ | 0.5521 | 0.6771 | 0.8154 | [X:[1.3342], M:[0.6658, 1.1517, 1.0309, 0.7275, 0.9691, 1.2725, 0.9691], q:[0.9396, 0.3946], qb:[0.3329, 0.6362], phi:[0.4242]] | t^2.18 + 2*t^2.91 + t^3.27 + 2*t^3.46 + t^3.64 + t^3.82 + t^4. + t^4.37 + t^4.73 + 2*t^5.09 + t^5.64 + 2*t^5.81 + t^5.82 - 2*t^6. - t^4.27/y - t^4.27*y | detail |