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 |
|---|---|---|---|---|---|---|---|---|---|
| 1429 | 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_5^2$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ | 0.6972 | 0.8564 | 0.8141 | [X:[], M:[1.0538, 0.9194, 0.9462, 1.0269, 1.0, 0.9731], q:[0.5, 0.4462], qb:[0.5538, 0.5269], phi:[0.4933]] | [X:[], M:[[8], [-12], [-8], [4], [0], [-4]], q:[[0], [-8]], qb:[[8], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_4$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ M_6^2$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_5\phi_1^2$ | . | -1 | t^2.76 + t^2.84 + t^2.92 + t^2.96 + t^3. + t^3.08 + t^3.16 + t^4.16 + t^4.32 + t^4.4 + 2*t^4.48 + t^4.56 + 2*t^4.64 + t^4.72 + t^4.8 + t^5.52 + t^5.6 + t^5.68 + t^5.72 + t^5.76 + t^5.8 + t^5.84 + t^5.88 + 2*t^5.92 + t^5.96 - t^6. + t^6.04 - t^6.08 + t^6.12 + t^6.92 + t^7. + 2*t^7.08 + t^7.12 + 2*t^7.16 - t^7.2 + 3*t^7.24 + t^7.28 + 3*t^7.32 + 3*t^7.4 + t^7.44 + 3*t^7.48 - t^7.52 + 3*t^7.56 + t^7.6 + 3*t^7.64 - t^7.68 + 2*t^7.72 + 2*t^7.8 - t^7.84 + t^7.88 + t^7.96 + t^8.27 + t^8.31 + t^8.35 + t^8.44 + 2*t^8.48 + t^8.52 + 2*t^8.56 + 3*t^8.64 + t^8.68 + 2*t^8.72 - t^8.76 + 4*t^8.8 - 3*t^8.84 + 4*t^8.88 - 4*t^8.92 + 3*t^8.96 - t^4.48/y - t^7.24/y - t^7.44/y + t^7.52/y + t^7.72/y + t^8.6/y + t^8.68/y + t^8.72/y + (2*t^8.76)/y + t^8.8/y + (2*t^8.84)/y + t^8.88/y + (3*t^8.92)/y + t^8.96/y - t^4.48*y - t^7.24*y - t^7.44*y + t^7.52*y + t^7.72*y + t^8.6*y + t^8.68*y + t^8.72*y + 2*t^8.76*y + t^8.8*y + 2*t^8.84*y + t^8.88*y + 3*t^8.92*y + t^8.96*y | t^2.76/g1^12 + t^2.84/g1^8 + t^2.92/g1^4 + t^2.96/g1^2 + t^3. + g1^4*t^3.08 + g1^8*t^3.16 + t^4.16/g1^17 + t^4.32/g1^9 + t^4.4/g1^5 + (2*t^4.48)/g1 + g1^3*t^4.56 + 2*g1^7*t^4.64 + g1^11*t^4.72 + g1^15*t^4.8 + t^5.52/g1^24 + t^5.6/g1^20 + t^5.68/g1^16 + t^5.72/g1^14 + t^5.76/g1^12 + t^5.8/g1^10 + t^5.84/g1^8 + t^5.88/g1^6 + (2*t^5.92)/g1^4 + t^5.96/g1^2 - t^6. + g1^2*t^6.04 - g1^4*t^6.08 + g1^6*t^6.12 + t^6.92/g1^29 + t^7./g1^25 + (2*t^7.08)/g1^21 + t^7.12/g1^19 + (2*t^7.16)/g1^17 - t^7.2/g1^15 + (3*t^7.24)/g1^13 + t^7.28/g1^11 + (3*t^7.32)/g1^9 + (3*t^7.4)/g1^5 + t^7.44/g1^3 + (3*t^7.48)/g1 - g1*t^7.52 + 3*g1^3*t^7.56 + g1^5*t^7.6 + 3*g1^7*t^7.64 - g1^9*t^7.68 + 2*g1^11*t^7.72 + 2*g1^15*t^7.8 - g1^17*t^7.84 + g1^19*t^7.88 + g1^23*t^7.96 + t^8.27/g1^36 + t^8.31/g1^34 + t^8.35/g1^32 + t^8.44/g1^28 + (2*t^8.48)/g1^26 + t^8.52/g1^24 + (2*t^8.56)/g1^22 + (3*t^8.64)/g1^18 + t^8.68/g1^16 + (2*t^8.72)/g1^14 - t^8.76/g1^12 + (4*t^8.8)/g1^10 - (3*t^8.84)/g1^8 + (4*t^8.88)/g1^6 - (4*t^8.92)/g1^4 + (3*t^8.96)/g1^2 - t^4.48/(g1*y) - t^7.24/(g1^13*y) - t^7.44/(g1^3*y) + (g1*t^7.52)/y + (g1^11*t^7.72)/y + t^8.6/(g1^20*y) + t^8.68/(g1^16*y) + t^8.72/(g1^14*y) + (2*t^8.76)/(g1^12*y) + t^8.8/(g1^10*y) + (2*t^8.84)/(g1^8*y) + t^8.88/(g1^6*y) + (3*t^8.92)/(g1^4*y) + t^8.96/(g1^2*y) - (t^4.48*y)/g1 - (t^7.24*y)/g1^13 - (t^7.44*y)/g1^3 + g1*t^7.52*y + g1^11*t^7.72*y + (t^8.6*y)/g1^20 + (t^8.68*y)/g1^16 + (t^8.72*y)/g1^14 + (2*t^8.76*y)/g1^12 + (t^8.8*y)/g1^10 + (2*t^8.84*y)/g1^8 + (t^8.88*y)/g1^6 + (3*t^8.92*y)/g1^4 + (t^8.96*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2501 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_1M_7$ | 0.7032 | 0.8682 | 0.8099 | [X:[], M:[1.0751, 0.8874, 0.9249, 1.0375, 1.0, 0.9625, 0.9249], q:[0.5, 0.4249], qb:[0.5751, 0.5375], phi:[0.4906]] | t^2.66 + 2*t^2.77 + t^2.89 + t^2.94 + t^3. + t^3.11 + t^4.02 + t^4.25 + t^4.36 + 2*t^4.47 + t^4.58 + 2*t^4.7 + t^4.81 + t^4.92 + t^5.32 + 2*t^5.44 + 3*t^5.55 + t^5.61 + 2*t^5.66 + 2*t^5.72 + 2*t^5.77 + t^5.83 + 2*t^5.89 + t^5.94 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 2498 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_3M_7$ | 0.6933 | 0.8493 | 0.8163 | [X:[], M:[1.0309, 0.9537, 0.9691, 1.0154, 1.0, 0.9846, 1.0309], q:[0.5, 0.4691], qb:[0.5309, 0.5154], phi:[0.4961]] | t^2.86 + t^2.95 + t^2.98 + t^3. + t^3.05 + 2*t^3.09 + t^4.3 + t^4.4 + t^4.44 + 2*t^4.49 + t^4.53 + 2*t^4.58 + t^4.63 + t^4.67 + t^5.72 + t^5.84 + t^5.93 + 2*t^5.95 + t^5.98 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 2500 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_4M_7$ | 0.7 | 0.8618 | 0.8122 | [X:[], M:[1.0649, 0.9026, 0.9351, 1.0325, 1.0, 0.9675, 0.9675], q:[0.5, 0.4351], qb:[0.5649, 0.5325], phi:[0.4919]] | t^2.71 + t^2.81 + 2*t^2.9 + t^2.95 + t^3. + t^3.19 + t^4.09 + t^4.28 + t^4.38 + 2*t^4.48 + t^4.57 + 2*t^4.67 + t^4.77 + t^4.87 + t^5.42 + t^5.51 + 2*t^5.61 + t^5.66 + 2*t^5.71 + t^5.76 + 2*t^5.81 + 2*t^5.85 + 2*t^5.9 + t^5.95 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 2499 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_6M_7$ | 0.695 | 0.8522 | 0.8155 | [X:[], M:[1.0423, 0.9365, 0.9577, 1.0212, 1.0, 0.9788, 1.0212], q:[0.5, 0.4577], qb:[0.5423, 0.5212], phi:[0.4947]] | t^2.81 + t^2.87 + t^2.97 + t^3. + 2*t^3.06 + t^3.13 + t^4.23 + t^4.36 + t^4.42 + 2*t^4.48 + t^4.55 + 2*t^4.61 + t^4.67 + t^4.74 + t^5.62 + t^5.68 + t^5.78 + t^5.84 + t^5.87 + 2*t^5.94 + t^5.97 - 2*t^6. - t^4.48/y - t^4.48*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 |
|---|---|---|---|---|---|---|---|---|---|
| 932 | 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_5^2$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_2$ | 0.7378 | 0.9171 | 0.8045 | [X:[], M:[1.0, 0.7895, 1.0, 0.7895, 1.0, 0.7895], q:[0.5, 0.5], qb:[0.5, 0.7105], phi:[0.4474]] | 3*t^2.37 + t^2.68 + 3*t^3. + 6*t^4.34 + 6*t^4.74 + 3*t^4.97 + 3*t^5.05 + 7*t^5.37 + t^5.61 + 3*t^5.68 - 4*t^6. - t^4.34/y - t^4.34*y | detail |