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 |
|---|---|---|---|---|---|---|---|---|---|
| 3814 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6047 | 0.7522 | 0.8039 | [X:[1.3607], M:[0.6393, 1.1202, 0.7996, 1.0401, 0.9599, 1.2004, 0.7195], q:[0.7801, 0.5806], qb:[0.6197, 0.26], phi:[0.4399]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [20], [-28]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ M_5$, $ M_4$, $ M_2$, $ M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ q_1\tilde{q}_1$, $ M_7^2$, $ M_7q_2\tilde{q}_2$, $ M_7\phi_1^2$, $ \phi_1q_2^2$, $ M_5M_7$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4M_7$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_2M_7$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_5^2$, $ M_6M_7$, $ M_4\phi_1^2$ | . | -1 | t^2.16 + t^2.52 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + t^3.6 + t^3.96 + t^4.08 + t^4.2 + t^4.32 + t^4.68 + 2*t^4.8 + 2*t^5.04 + t^5.16 + 2*t^5.28 + t^5.4 + 2*t^5.52 + t^5.64 + 2*t^5.76 - t^6. + t^6.12 + 2*t^6.24 + 2*t^6.48 + t^6.6 + 2*t^6.72 + 2*t^6.84 + 2*t^6.96 + 2*t^7.2 + t^7.33 + 2*t^7.44 + t^7.56 + t^7.57 + 4*t^7.68 + t^7.8 + 4*t^7.92 + 2*t^8.16 + 2*t^8.28 + 4*t^8.4 - t^8.52 + t^8.63 - t^8.64 + t^8.65 - t^8.88 + t^8.89 - t^4.32/y - t^6.48/y + t^7.68/y + t^7.8/y + t^8.04/y + (2*t^8.16)/y + t^8.28/y + t^8.4/y + (2*t^8.52)/y + (2*t^8.76)/y + t^8.88/y - t^4.32*y - t^6.48*y + t^7.68*y + t^7.8*y + t^8.04*y + 2*t^8.16*y + t^8.28*y + t^8.4*y + 2*t^8.52*y + 2*t^8.76*y + t^8.88*y | t^2.16/g1^28 + g1^34*t^2.52 + t^2.64/g1^12 + t^2.88/g1^4 + g1^4*t^3.12 + g1^12*t^3.36 + g1^20*t^3.6 + t^3.96/g1^18 + g1^36*t^4.08 + t^4.2/g1^10 + t^4.32/g1^56 + g1^6*t^4.68 + t^4.8/g1^40 + g1^60*t^4.8 + t^5.04/g1^32 + g1^68*t^5.04 + g1^22*t^5.16 + (2*t^5.28)/g1^24 + g1^30*t^5.4 + (2*t^5.52)/g1^16 + g1^38*t^5.64 + (2*t^5.76)/g1^8 - t^6. + g1^54*t^6.12 + 2*g1^8*t^6.24 + t^6.48/g1^84 + g1^16*t^6.48 + g1^70*t^6.6 + 2*g1^24*t^6.72 + (2*t^6.84)/g1^22 + t^6.96/g1^68 + g1^32*t^6.96 + t^7.2/g1^60 + g1^40*t^7.2 + g1^94*t^7.33 + t^7.44/g1^52 + g1^48*t^7.44 + g1^2*t^7.56 + g1^102*t^7.57 + (2*t^7.68)/g1^44 + 2*g1^56*t^7.68 + g1^10*t^7.8 + (3*t^7.92)/g1^36 + g1^64*t^7.92 + 2*g1^72*t^8.16 + 2*g1^26*t^8.28 + (3*t^8.4)/g1^20 + g1^80*t^8.4 + t^8.52/g1^66 - 2*g1^34*t^8.52 + t^8.63/g1^112 - t^8.64/g1^12 + g1^88*t^8.65 - t^8.76/g1^58 + g1^42*t^8.76 - t^8.88/g1^4 + g1^96*t^8.89 - t^4.32/(g1^6*y) - t^6.48/(g1^34*y) + (g1^6*t^7.68)/y + t^7.8/(g1^40*y) + t^8.04/(g1^32*y) + (2*g1^22*t^8.16)/y + t^8.28/(g1^24*y) + (g1^30*t^8.4)/y + (2*t^8.52)/(g1^16*y) - t^8.64/(g1^62*y) + (g1^38*t^8.64)/y + (2*t^8.76)/(g1^8*y) + (g1^46*t^8.88)/y - (t^4.32*y)/g1^6 - (t^6.48*y)/g1^34 + g1^6*t^7.68*y + (t^7.8*y)/g1^40 + (t^8.04*y)/g1^32 + 2*g1^22*t^8.16*y + (t^8.28*y)/g1^24 + g1^30*t^8.4*y + (2*t^8.52*y)/g1^16 - (t^8.64*y)/g1^62 + g1^38*t^8.64*y + (2*t^8.76*y)/g1^8 + g1^46*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 5393 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_4M_8$ | 0.6084 | 0.7583 | 0.8023 | [X:[1.3667], M:[0.6333, 1.1222, 0.7963, 1.0407, 0.9593, 1.2037, 0.7148, 0.9593], q:[0.7806, 0.5862], qb:[0.6176, 0.2602], phi:[0.4389]] | t^2.14 + t^2.54 + t^2.63 + 2*t^2.88 + t^3.37 + t^3.61 + t^3.95 + t^4.1 + t^4.19 + t^4.29 + t^4.68 + t^4.78 + t^4.83 + 2*t^5.02 + t^5.08 + t^5.17 + t^5.27 + 2*t^5.42 + 3*t^5.51 + 3*t^5.76 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 5391 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_5M_8$ | 0.601 | 0.7461 | 0.8054 | [X:[1.3547], M:[0.6453, 1.1182, 0.8029, 1.0394, 0.9606, 1.1971, 0.7241, 1.0394], q:[0.7796, 0.5751], qb:[0.6219, 0.2599], phi:[0.4409]] | t^2.17 + t^2.5 + t^2.65 + 2*t^3.12 + t^3.35 + t^3.59 + t^3.97 + t^4.06 + t^4.2 + t^4.34 + t^4.68 + t^4.77 + t^4.82 + t^5.01 + t^5.15 + 3*t^5.29 + t^5.53 + 2*t^5.62 + 2*t^5.76 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 5395 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6255 | 0.793 | 0.7887 | [X:[1.3587], M:[0.6413, 1.1196, 0.8007, 1.0399, 0.9601, 1.1993, 0.721, 0.6793], q:[0.7799, 0.5788], qb:[0.6205, 0.26], phi:[0.4402]] | t^2.04 + t^2.16 + t^2.52 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + t^3.6 + 2*t^4.08 + 2*t^4.2 + t^4.33 + t^4.55 + 2*t^4.68 + t^4.79 + t^4.8 + t^4.92 + t^5.03 + t^5.04 + 2*t^5.16 + 2*t^5.28 + 2*t^5.4 + 2*t^5.52 + 2*t^5.64 + 2*t^5.76 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3358 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ | 0.5847 | 0.7158 | 0.8169 | [X:[1.3459], M:[0.6541, 1.1153, 0.8078, 1.0384, 0.9616, 1.1922], q:[0.7788, 0.5671], qb:[0.6251, 0.2596], phi:[0.4423]] | t^2.48 + t^2.65 + t^2.88 + t^3.12 + t^3.35 + t^3.58 + t^3.81 + t^3.98 + t^4.04 + t^4.21 + t^4.73 + t^4.96 + t^5.13 + t^5.31 + t^5.36 + t^5.54 + t^5.6 + t^5.77 - t^6. - t^4.33/y - t^4.33*y | detail |