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 |
|---|---|---|---|---|---|---|---|---|---|
| 2206 | 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_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ | 0.6718 | 0.8441 | 0.7959 | [X:[], M:[1.1532, 1.0901, 0.9415, 0.8468, 0.6982, 1.0585, 0.7298], q:[0.7725, 0.3491], qb:[0.4977, 0.5608], phi:[0.455]] | [X:[], M:[[8], [-4], [10], [-8], [6], [-10], [12]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_4$, $ \phi_1^2$, $ M_6$, $ M_2$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ M_5M_7$, $ \phi_1\tilde{q}_1^2$, $ M_7^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_4M_7$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_4^2$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_2M_5$, $ M_6M_7$, $ M_2M_7$, $ \phi_1^4$, $ M_5q_1q_2$, $ M_1M_5$, $ M_7q_1q_2$, $ M_1M_7$, $ M_4M_6$, $ M_6\phi_1^2$, $ M_4q_1q_2$ | . | -1 | t^2.09 + t^2.19 + t^2.54 + t^2.73 + t^3.18 + t^3.27 + t^3.36 + t^3.46 + t^4. + t^4.09 + t^4.19 + t^4.28 + t^4.35 + t^4.38 + t^4.54 + t^4.64 + 2*t^4.73 + t^4.82 + t^4.92 + t^5.08 + 2*t^5.27 + t^5.36 + 3*t^5.46 + t^5.55 + t^5.65 + t^5.72 + 2*t^5.91 - t^6. + t^6.09 + 2*t^6.19 + 2*t^6.28 + t^6.35 + t^6.38 + t^6.45 + t^6.47 + 2*t^6.54 + t^6.57 + t^6.64 + 2*t^6.73 + 3*t^6.82 + t^6.89 + 3*t^6.92 + t^7.01 + t^7.08 + t^7.11 + 2*t^7.27 + t^7.36 + 4*t^7.46 + t^7.53 + 3*t^7.55 + t^7.62 + 3*t^7.65 + t^7.72 + t^7.74 + t^7.81 + t^7.84 + 2*t^8. + 2*t^8.19 + t^8.26 + t^8.28 + 3*t^8.38 + 2*t^8.45 + 2*t^8.47 - t^8.54 + t^8.57 + 2*t^8.64 + t^8.66 + t^8.7 + t^8.76 + 2*t^8.82 + 2*t^8.89 + 3*t^8.92 - t^4.36/y - t^6.46/y - t^6.55/y + t^7.28/y + t^7.64/y + t^7.73/y + t^7.82/y + t^7.92/y + t^8.18/y + (3*t^8.27)/y + (2*t^8.36)/y + (2*t^8.46)/y + t^8.55/y + t^8.72/y - t^8.74/y + t^8.81/y + (2*t^8.91)/y - t^4.36*y - t^6.46*y - t^6.55*y + t^7.28*y + t^7.64*y + t^7.73*y + t^7.82*y + t^7.92*y + t^8.18*y + 3*t^8.27*y + 2*t^8.36*y + 2*t^8.46*y + t^8.55*y + t^8.72*y - t^8.74*y + t^8.81*y + 2*t^8.91*y | g1^6*t^2.09 + g1^12*t^2.19 + t^2.54/g1^8 + g1^4*t^2.73 + t^3.18/g1^10 + t^3.27/g1^4 + g1^2*t^3.36 + g1^8*t^3.46 + t^4. + g1^6*t^4.09 + g1^12*t^4.19 + g1^18*t^4.28 + t^4.35/g1^20 + g1^24*t^4.38 + t^4.54/g1^8 + t^4.64/g1^2 + 2*g1^4*t^4.73 + g1^10*t^4.82 + g1^16*t^4.92 + t^5.08/g1^16 + (2*t^5.27)/g1^4 + g1^2*t^5.36 + 3*g1^8*t^5.46 + g1^14*t^5.55 + g1^20*t^5.65 + t^5.72/g1^18 + (2*t^5.91)/g1^6 - t^6. + g1^6*t^6.09 + 2*g1^12*t^6.19 + 2*g1^18*t^6.28 + t^6.35/g1^20 + g1^24*t^6.38 + t^6.45/g1^14 + g1^30*t^6.47 + (2*t^6.54)/g1^8 + g1^36*t^6.57 + t^6.64/g1^2 + 2*g1^4*t^6.73 + 3*g1^10*t^6.82 + t^6.89/g1^28 + 3*g1^16*t^6.92 + g1^22*t^7.01 + t^7.08/g1^16 + g1^28*t^7.11 + (2*t^7.27)/g1^4 + g1^2*t^7.36 + 4*g1^8*t^7.46 + t^7.53/g1^30 + 3*g1^14*t^7.55 + t^7.62/g1^24 + 3*g1^20*t^7.65 + t^7.72/g1^18 + g1^26*t^7.74 + t^7.81/g1^12 + g1^32*t^7.84 + 2*t^8. + 2*g1^12*t^8.19 + t^8.26/g1^26 + g1^18*t^8.28 + 3*g1^24*t^8.38 + (2*t^8.45)/g1^14 + 2*g1^30*t^8.47 - t^8.54/g1^8 + g1^36*t^8.57 + (2*t^8.64)/g1^2 + g1^42*t^8.66 + t^8.7/g1^40 + g1^48*t^8.76 + 2*g1^10*t^8.82 + (2*t^8.89)/g1^28 + 3*g1^16*t^8.92 - (g1^2*t^4.36)/y - (g1^8*t^6.46)/y - (g1^14*t^6.55)/y + (g1^18*t^7.28)/y + t^7.64/(g1^2*y) + (g1^4*t^7.73)/y + (g1^10*t^7.82)/y + (g1^16*t^7.92)/y + t^8.18/(g1^10*y) + (3*t^8.27)/(g1^4*y) + (2*g1^2*t^8.36)/y + (2*g1^8*t^8.46)/y + (g1^14*t^8.55)/y + t^8.72/(g1^18*y) - (g1^26*t^8.74)/y + t^8.81/(g1^12*y) + (2*t^8.91)/(g1^6*y) - g1^2*t^4.36*y - g1^8*t^6.46*y - g1^14*t^6.55*y + g1^18*t^7.28*y + (t^7.64*y)/g1^2 + g1^4*t^7.73*y + g1^10*t^7.82*y + g1^16*t^7.92*y + (t^8.18*y)/g1^10 + (3*t^8.27*y)/g1^4 + 2*g1^2*t^8.36*y + 2*g1^8*t^8.46*y + g1^14*t^8.55*y + (t^8.72*y)/g1^18 - g1^26*t^8.74*y + (t^8.81*y)/g1^12 + (2*t^8.91*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4203 | $\phi_1q_1^2$ + $ 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_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ + $ M_1M_5$ | 0.6536 | 0.8233 | 0.7939 | [X:[], M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619, 0.9524, 0.8571], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | 2*t^2.29 + t^2.57 + 2*t^2.86 + t^3.14 + t^3.43 + 2*t^3.71 + t^4. + 2*t^4.29 + 3*t^4.57 + 3*t^4.86 + 5*t^5.14 + 2*t^5.43 + 6*t^5.71 + 2*t^6. - t^4.43/y - t^4.43*y | detail | {a: 3587/5488, c: 2259/2744, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 20/21, M7: 6/7, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
| 4205 | $\phi_1q_1^2$ + $ 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_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1^2$ | 0.6638 | 0.8305 | 0.7993 | [X:[], M:[1.162, 1.0857, 0.9525, 0.838, 0.7048, 1.0475, 0.7429, 1.0857], q:[0.7714, 0.3524], qb:[0.4856, 0.5619], phi:[0.4572]] | t^2.11 + t^2.23 + t^2.51 + t^3.14 + 2*t^3.26 + t^3.37 + t^3.49 + t^4. + t^4.11 + t^4.23 + t^4.29 + t^4.34 + t^4.46 + t^4.51 + t^4.63 + 2*t^4.74 + t^5.03 + t^5.26 + 2*t^5.37 + 3*t^5.49 + t^5.6 + t^5.66 + t^5.71 + t^5.77 + t^5.89 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 4204 | $\phi_1q_1^2$ + $ 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_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1q_2$ | 0.6828 | 0.8626 | 0.7915 | [X:[], M:[1.1573, 1.088, 0.9466, 0.8427, 0.7013, 1.0534, 0.7359, 0.8773], q:[0.772, 0.3506], qb:[0.4921, 0.5613], phi:[0.456]] | t^2.1 + t^2.21 + t^2.53 + t^2.63 + t^2.74 + t^3.16 + t^3.26 + t^3.47 + t^4. + t^4.1 + t^4.21 + t^4.31 + t^4.32 + t^4.42 + t^4.53 + t^4.63 + 3*t^4.74 + 2*t^4.84 + t^4.94 + t^5.06 + t^5.16 + 3*t^5.26 + 2*t^5.37 + 2*t^5.47 + t^5.68 + t^5.69 + t^5.79 + 2*t^5.9 - t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1164 | 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_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3M_6$ | 0.6523 | 0.8085 | 0.8069 | [X:[], M:[1.1652, 1.0841, 0.9565, 0.8348, 0.7073, 1.0435], q:[0.771, 0.3536], qb:[0.4811, 0.5623], phi:[0.458]] | t^2.12 + t^2.5 + t^2.75 + t^3.13 + t^3.25 + t^3.37 + t^3.5 + t^3.76 + t^4. + t^4.12 + t^4.24 + t^4.26 + t^4.5 + t^4.63 + t^4.75 + t^4.87 + t^5.01 + 2*t^5.25 + 2*t^5.5 + t^5.63 + 3*t^5.88 - t^6. - t^4.37/y - t^4.37*y | detail |