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 |
|---|---|---|---|---|---|---|---|---|---|
| 55235 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6562 | 0.806 | 0.8142 | [X:[], M:[0.951, 1.0, 1.1685, 0.8315, 1.1087, 0.7718], q:[0.6087, 0.4402], qb:[0.3913, 0.7772], phi:[0.4456]] | [X:[], M:[[-11], [0], [-3], [3], [4], [10]], q:[[4], [7]], qb:[[-4], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_1$, $ M_2$, $ M_5$, $ M_3$, $ q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_6^2$, $ M_4M_6$, $ M_4^2$, $ \phi_1q_1^2$, $ M_1M_6$, $ M_2M_6$, $ M_5M_6$, $ M_1^2$, $ M_4M_5$, $ M_3M_6$, $ M_6q_2\tilde{q}_2$ | . | -1 | t^2.32 + t^2.49 + t^2.85 + t^3. + t^3.33 + t^3.51 + t^3.65 + t^3.83 + t^3.98 + t^4.16 + t^4.34 + t^4.48 + t^4.63 + t^4.81 + 2*t^4.99 + t^5.17 + t^5.32 + t^5.64 + t^5.71 + 2*t^5.82 + t^5.97 - t^6. + t^6.15 + t^6.29 + t^6.33 + t^6.36 + 2*t^6.47 + 2*t^6.65 + t^6.8 + t^6.83 + t^6.95 + 2*t^6.98 + t^7.13 + t^7.16 + 3*t^7.3 + 4*t^7.48 + 2*t^7.63 + t^7.66 + 2*t^7.81 + 2*t^7.96 + t^7.99 + t^8.02 + 3*t^8.14 - t^8.17 + t^8.28 + t^8.32 - t^8.35 + 2*t^8.46 - t^8.49 + t^8.56 + t^8.61 + 2*t^8.64 + 2*t^8.79 - 2*t^8.85 + 4*t^8.97 - t^4.34/y - t^6.65/y - t^7.19/y + t^7.48/y + t^7.81/y + t^8.02/y + t^8.17/y + t^8.32/y + t^8.35/y + t^8.49/y + t^8.64/y + (2*t^8.82)/y + t^8.85/y - t^4.34*y - t^6.65*y - t^7.19*y + t^7.48*y + t^7.81*y + t^8.02*y + t^8.17*y + t^8.32*y + t^8.35*y + t^8.49*y + t^8.64*y + 2*t^8.82*y + t^8.85*y | g1^10*t^2.32 + g1^3*t^2.49 + t^2.85/g1^11 + t^3. + g1^4*t^3.33 + t^3.51/g1^3 + g1^8*t^3.65 + g1*t^3.83 + g1^12*t^3.98 + g1^5*t^4.16 + t^4.34/g1^2 + g1^9*t^4.48 + g1^20*t^4.63 + g1^13*t^4.81 + 2*g1^6*t^4.99 + t^5.17/g1 + g1^10*t^5.32 + g1^14*t^5.64 + t^5.71/g1^22 + 2*g1^7*t^5.82 + g1^18*t^5.97 - t^6. + g1^11*t^6.15 + g1^22*t^6.29 + g1^4*t^6.33 + t^6.36/g1^14 + 2*g1^15*t^6.47 + 2*g1^8*t^6.65 + g1^19*t^6.8 + g1*t^6.83 + g1^30*t^6.95 + 2*g1^12*t^6.98 + g1^23*t^7.13 + g1^5*t^7.16 + 3*g1^16*t^7.3 + 4*g1^9*t^7.48 + 2*g1^20*t^7.63 + g1^2*t^7.66 + 2*g1^13*t^7.81 + 2*g1^24*t^7.96 + g1^6*t^7.99 + t^8.02/g1^12 + 3*g1^17*t^8.14 - t^8.17/g1 + g1^28*t^8.28 + g1^10*t^8.32 - t^8.35/g1^8 + 2*g1^21*t^8.46 - g1^3*t^8.49 + t^8.56/g1^33 + g1^32*t^8.61 + 2*g1^14*t^8.64 + 2*g1^25*t^8.79 - (2*t^8.85)/g1^11 + 4*g1^18*t^8.97 - t^4.34/(g1^2*y) - (g1^8*t^6.65)/y - t^7.19/(g1^13*y) + (g1^9*t^7.48)/y + (g1^13*t^7.81)/y + t^8.02/(g1^12*y) + t^8.17/(g1*y) + (g1^10*t^8.32)/y + t^8.35/(g1^8*y) + (g1^3*t^8.49)/y + (g1^14*t^8.64)/y + (2*g1^7*t^8.82)/y + t^8.85/(g1^11*y) - (t^4.34*y)/g1^2 - g1^8*t^6.65*y - (t^7.19*y)/g1^13 + g1^9*t^7.48*y + g1^13*t^7.81*y + (t^8.02*y)/g1^12 + (t^8.17*y)/g1 + g1^10*t^8.32*y + (t^8.35*y)/g1^8 + g1^3*t^8.49*y + g1^14*t^8.64*y + 2*g1^7*t^8.82*y + (t^8.85*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56879 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3M_7$ | 0.6708 | 0.8321 | 0.8061 | [X:[], M:[0.9622, 1.0, 1.1715, 0.8285, 1.1047, 0.7617, 0.8285], q:[0.6047, 0.4332], qb:[0.3953, 0.7762], phi:[0.4477]] | t^2.28 + 2*t^2.49 + t^2.89 + t^3. + t^3.31 + t^3.63 + t^3.83 + t^3.94 + t^4.14 + t^4.34 + t^4.46 + t^4.57 + 2*t^4.77 + 4*t^4.97 + t^5.17 + t^5.28 + t^5.37 + t^5.49 + t^5.6 + t^5.77 + 2*t^5.8 + t^5.91 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 56878 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6^2$ | 0.6044 | 0.7357 | 0.8216 | [X:[], M:[0.7, 1.0, 1.1, 0.9, 1.2, 1.0], q:[0.7, 0.6], qb:[0.3, 0.8], phi:[0.4]] | t^2.1 + t^2.7 + 2*t^3. + t^3.3 + t^3.6 + t^3.9 + 3*t^4.2 + t^4.5 + t^4.8 + 2*t^5.1 + 3*t^5.4 + t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 19341/32000, c: 23541/32000, M1: 7/10, M2: 1, M3: 11/10, M4: 9/10, M5: 6/5, M6: 1, q1: 7/10, q2: 3/5, qb1: 3/10, qb2: 4/5, phi1: 2/5} |
| 56880 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ | 0.6771 | 0.8472 | 0.7991 | [X:[], M:[0.9492, 1.0, 1.168, 0.832, 1.1094, 0.7735, 0.6718], q:[0.6094, 0.4414], qb:[0.3906, 0.7773], phi:[0.4453]] | t^2.02 + t^2.32 + t^2.5 + t^2.85 + t^3. + t^3.33 + t^3.5 + t^3.66 + t^3.83 + t^4.03 + t^4.16 + 2*t^4.34 + t^4.49 + t^4.51 + t^4.64 + t^4.82 + t^4.86 + 2*t^4.99 + t^5.02 + t^5.17 + t^5.32 + t^5.34 + t^5.52 + t^5.65 + t^5.67 + t^5.7 + 2*t^5.82 + t^5.85 + t^5.98 - t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47065 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1^2$ | 0.6389 | 0.7739 | 0.8256 | [X:[], M:[0.9183, 1.0, 1.1595, 0.8405, 1.1206], q:[0.6206, 0.4611], qb:[0.3794, 0.7802], phi:[0.4397]] | t^2.52 + t^2.75 + t^3. + t^3.36 + t^3.48 + t^3.6 + t^3.72 + t^3.84 + t^4.09 + t^4.2 + t^4.32 + t^4.56 + 2*t^5.04 + t^5.51 + t^5.88 - t^6. - t^4.32/y - t^4.32*y | detail |