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 |
|---|---|---|---|---|---|---|---|---|---|
| 1486 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_2M_6$ | 0.6918 | 0.8476 | 0.8162 | [X:[], M:[0.991, 1.003, 1.009, 0.9849, 1.0151, 0.997], q:[0.5075, 0.5015], qb:[0.4834, 0.5136], phi:[0.4985]] | [X:[], M:[[-6], [2], [6], [-10], [10], [-2]], q:[[5], [1]], qb:[[-11], [9]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_3M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$ | . | -2 | t^2.95 + t^2.97 + 2*t^2.99 + t^3.03 + t^3.05 + t^3.06 + t^4.4 + t^4.45 + t^4.47 + t^4.49 + t^4.5 + t^4.52 + 2*t^4.54 + t^4.56 + t^4.58 + 2*t^5.95 + t^5.96 + 2*t^5.98 - 2*t^6. + t^6.02 + 2*t^6.04 + 2*t^6.05 + t^6.09 + t^6.11 + t^6.13 + t^7.35 + t^7.37 + 2*t^7.39 - t^7.4 + t^7.42 + 3*t^7.44 + 2*t^7.46 + t^7.48 + t^7.5 + 2*t^7.51 + 5*t^7.53 + 2*t^7.55 + 3*t^7.57 + t^7.59 + 3*t^7.6 + 2*t^7.62 + t^7.64 + t^8.79 + t^8.85 + t^8.86 + t^8.92 + 4*t^8.94 - 5*t^8.99 - t^4.5/y - t^7.49/y + t^7.5/y + t^8.93/y + (2*t^8.95)/y + (2*t^8.96)/y + (2*t^8.98)/y - t^4.5*y - t^7.49*y + t^7.5*y + t^8.93*y + 2*t^8.95*y + 2*t^8.96*y + 2*t^8.98*y | t^2.95/g1^10 + t^2.97/g1^6 + (2*t^2.99)/g1^2 + g1^6*t^3.03 + g1^10*t^3.05 + g1^14*t^3.06 + t^4.4/g1^23 + t^4.45/g1^11 + t^4.47/g1^7 + t^4.49/g1^3 + g1*t^4.5 + g1^5*t^4.52 + 2*g1^9*t^4.54 + g1^13*t^4.56 + g1^17*t^4.58 + (2*t^5.95)/g1^12 + t^5.96/g1^8 + (2*t^5.98)/g1^4 - 2*t^6. + g1^4*t^6.02 + 2*g1^8*t^6.04 + 2*g1^12*t^6.05 + g1^20*t^6.09 + g1^24*t^6.11 + g1^28*t^6.13 + t^7.35/g1^33 + t^7.37/g1^29 + (2*t^7.39)/g1^25 - t^7.4/g1^21 + t^7.42/g1^17 + (3*t^7.44)/g1^13 + (2*t^7.46)/g1^9 + t^7.48/g1^5 + t^7.5/g1 + 2*g1^3*t^7.51 + 5*g1^7*t^7.53 + 2*g1^11*t^7.55 + 3*g1^15*t^7.57 + g1^19*t^7.59 + 3*g1^23*t^7.6 + 2*g1^27*t^7.62 + g1^31*t^7.64 + t^8.79/g1^46 + t^8.85/g1^34 + t^8.86/g1^30 + t^8.92/g1^18 + (4*t^8.94)/g1^14 - (5*t^8.99)/g1^2 - t^4.5/(g1*y) - t^7.49/(g1^3*y) + (g1*t^7.5)/y + t^8.93/(g1^16*y) + (2*t^8.95)/(g1^12*y) + (2*t^8.96)/(g1^8*y) + (2*t^8.98)/(g1^4*y) - (t^4.5*y)/g1 - (t^7.49*y)/g1^3 + g1*t^7.5*y + (t^8.93*y)/g1^16 + (2*t^8.95*y)/g1^12 + (2*t^8.96*y)/g1^8 + (2*t^8.98*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2578 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_2M_6$ + $ M_1M_7$ | 0.6914 | 0.8476 | 0.8157 | [X:[], M:[0.9996, 1.0001, 1.0004, 0.9994, 1.0006, 0.9999, 1.0004], q:[0.5003, 0.5001], qb:[0.4993, 0.5005], phi:[0.4999]] | 7*t^3. + 10*t^4.5 + 10*t^6. - t^4.5/y - t^4.5*y | detail | |
| 2563 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_2M_6$ + $ M_3M_7$ | 0.6931 | 0.8495 | 0.8159 | [X:[], M:[0.9823, 1.0059, 1.0177, 0.9706, 1.0294, 0.9941, 0.9823], q:[0.5147, 0.5029], qb:[0.4676, 0.5265], phi:[0.4971]] | t^2.91 + 2*t^2.95 + 2*t^2.98 + t^3.09 + t^3.12 + t^4.3 + t^4.4 + t^4.44 + t^4.47 + t^4.51 + t^4.54 + 2*t^4.58 + t^4.61 + t^4.65 + t^5.86 + 4*t^5.89 + 3*t^5.93 + t^5.96 - 3*t^6. - t^4.49/y - t^4.49*y | detail | |
| 2576 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_2M_6$ + $ M_4M_7$ | 0.6916 | 0.8487 | 0.8149 | [X:[], M:[1.0054, 0.9982, 0.9946, 1.0091, 0.9909, 1.0018, 0.9909], q:[0.4955, 0.4991], qb:[0.51, 0.4918], phi:[0.5009]] | t^2.96 + 2*t^2.97 + t^2.98 + 2*t^3.01 + t^3.02 + t^4.45 + t^4.46 + 2*t^4.48 + t^4.49 + t^4.5 + t^4.51 + t^4.52 + t^4.53 + t^4.56 + t^5.92 + 2*t^5.93 + 3*t^5.95 + t^5.96 + 2*t^5.97 + 4*t^5.98 + t^5.99 - 3*t^6. - t^4.5/y - t^4.5*y | detail | |
| 2565 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_2M_6$ + $ M_5M_7$ | 0.6944 | 0.8518 | 0.8152 | [X:[], M:[0.9768, 1.0077, 1.0232, 0.9613, 1.0387, 0.9923, 0.9613], q:[0.5193, 0.5039], qb:[0.4574, 0.5348], phi:[0.4961]] | 2*t^2.88 + t^2.93 + 2*t^2.98 + t^3.07 + t^3.16 + t^4.23 + t^4.37 + t^4.42 + t^4.47 + t^4.51 + t^4.56 + 2*t^4.6 + t^4.65 + t^4.7 + 2*t^5.77 + t^5.81 + 4*t^5.86 + t^5.91 + 3*t^5.95 - 3*t^6. - t^4.49/y - t^4.49*y | detail | |
| 2575 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_2M_6$ + $ \phi_1\tilde{q}_2^2$ | 0.5343 | 0.6814 | 0.7842 | [X:[], M:[0.8235, 1.0588, 1.1765, 0.7059, 1.2941, 0.9412], q:[0.6471, 0.5294], qb:[0.1765, 0.7647], phi:[0.4706]] | t^2.12 + 2*t^2.47 + 2*t^2.82 + 2*t^3.53 + 2*t^3.88 + 2*t^4.24 + 2*t^4.59 + 5*t^4.94 + 5*t^5.29 + 2*t^5.65 + t^6. - t^4.41/y - t^4.41*y | detail | {a: 2625/4913, c: 6695/9826, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 22/17, M6: 16/17, q1: 11/17, q2: 9/17, qb1: 3/17, qb2: 13/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 958 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ | 0.6916 | 0.8474 | 0.8161 | [X:[], M:[0.9938, 1.0021, 1.0062, 0.9897, 1.0103], q:[0.5051, 0.501], qb:[0.4887, 0.5092], phi:[0.499]] | t^2.97 + t^2.98 + t^2.99 + t^3.01 + t^3.02 + t^3.03 + t^3.04 + t^4.43 + t^4.47 + t^4.48 + t^4.49 + t^4.5 + t^4.52 + 2*t^4.53 + t^4.54 + t^4.55 + t^5.96 + t^5.98 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail |