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 |
|---|---|---|---|---|---|---|---|---|---|
| 820 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ | 0.624 | 0.8111 | 0.7693 | [X:[], M:[1.0, 1.0021, 0.9959, 0.7495, 0.7495, 1.0041], q:[0.7505, 0.2495], qb:[0.5021, 0.5021], phi:[0.499]] | [X:[], M:[[0, 0], [4, 4], [-8, -8], [-5, 3], [3, -5], [8, 8]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_1$, $ M_4$, $ q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ M_6$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_5$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_4$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_6$, $ M_2q_2\tilde{q}_1$, $ M_4M_6$, $ M_2q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ \phi_1^2q_2^4$ | . | -4 | 4*t^2.25 + t^2.99 + t^3. + 2*t^3.01 + 2*t^3.76 + 7*t^4.5 + 6*t^4.51 + 8*t^5.25 + 4*t^5.26 + 2*t^5.27 + t^5.99 - 4*t^6. + 10*t^6.01 + 2*t^6.02 - 2*t^6.74 + 6*t^6.75 + 20*t^6.76 + 2*t^6.77 - t^7.49 + 7*t^7.5 + 9*t^7.51 + 16*t^7.52 - 14*t^8.25 + 8*t^8.26 + 18*t^8.27 + 2*t^8.28 + t^8.98 - 5*t^8.99 - t^4.5/y - (2*t^6.75)/y + (5*t^7.5)/y + t^7.51/y + (2*t^8.24)/y + (10*t^8.25)/y + (4*t^8.26)/y + (2*t^8.27)/y - (2*t^8.99)/y - t^4.5*y - 2*t^6.75*y + 5*t^7.5*y + t^7.51*y + 2*t^8.24*y + 10*t^8.25*y + 4*t^8.26*y + 2*t^8.27*y - 2*t^8.99*y | (g1^3*t^2.25)/g2^5 + (g1^7*t^2.25)/g2 + (g2^3*t^2.25)/g1^5 + (g2^7*t^2.25)/g1 + t^2.99/(g1^4*g2^4) + t^3. + g1^4*g2^4*t^3.01 + g1^8*g2^8*t^3.01 + g1^9*g2*t^3.76 + g1*g2^9*t^3.76 + (g1^6*t^4.5)/g2^10 + (g1^10*t^4.5)/g2^6 + t^4.5/(g1^2*g2^2) + 2*g1^2*g2^2*t^4.5 + (g2^6*t^4.5)/g1^10 + (g2^10*t^4.5)/g1^6 + (2*g1^14*t^4.51)/g2^2 + 2*g1^6*g2^6*t^4.51 + (2*g2^14*t^4.51)/g1^2 + (2*g1^3*t^5.25)/g2^5 + (2*g1^7*t^5.25)/g2 + (2*g2^3*t^5.25)/g1^5 + (2*g2^7*t^5.25)/g1 + 2*g1^11*g2^3*t^5.26 + 2*g1^3*g2^11*t^5.26 + g1^15*g2^7*t^5.27 + g1^7*g2^15*t^5.27 + t^5.99/(g1^8*g2^8) - 2*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + g1^16*t^6.01 + (g1^12*t^6.01)/g2^4 + 3*g1^4*g2^4*t^6.01 + 3*g1^8*g2^8*t^6.01 + (g2^12*t^6.01)/g1^4 + g2^16*t^6.01 + g1^12*g2^12*t^6.02 + g1^16*g2^16*t^6.02 - t^6.74/(g1^3*g2^11) - t^6.74/(g1^11*g2^3) + (g1^9*t^6.75)/g2^15 + (g1^13*t^6.75)/g2^11 + (g1^5*t^6.75)/g2^3 + (g2^5*t^6.75)/g1^3 + (g2^9*t^6.75)/g1^15 + (g2^13*t^6.75)/g1^11 + (2*g1^17*t^6.76)/g2^7 + (2*g1^21*t^6.76)/g2^3 + 3*g1^9*g2*t^6.76 + 3*g1^13*g2^5*t^6.76 + 3*g1*g2^9*t^6.76 + 3*g1^5*g2^13*t^6.76 + (2*g2^17*t^6.76)/g1^7 + (2*g2^21*t^6.76)/g1^3 + g1^17*g2^9*t^6.77 + g1^9*g2^17*t^6.77 - t^7.49/(g1^6*g2^6) + (3*g1^10*t^7.5)/g2^6 - t^7.5/(g1^2*g2^2) + 2*g1^2*g2^2*t^7.5 + (3*g2^10*t^7.5)/g1^6 + (3*g1^14*t^7.51)/g2^2 + 3*g1^6*g2^6*t^7.51 + (3*g2^14*t^7.51)/g1^2 + 3*g1^18*g2^2*t^7.52 + 2*g1^22*g2^6*t^7.52 + 4*g1^10*g2^10*t^7.52 + 2*g1^14*g2^14*t^7.52 + 3*g1^2*g2^18*t^7.52 + 2*g1^6*g2^22*t^7.52 - (g1^11*t^8.25)/g2^13 - (4*g1^3*t^8.25)/g2^5 - (2*g1^7*t^8.25)/g2 - (4*g2^3*t^8.25)/g1^5 - (2*g2^7*t^8.25)/g1 - (g2^11*t^8.25)/g1^13 + (g1^19*t^8.26)/g2^5 + 3*g1^11*g2^3*t^8.26 + 3*g1^3*g2^11*t^8.26 + (g2^19*t^8.26)/g1^5 + (2*g1^23*t^8.27)/g2 + 5*g1^15*g2^7*t^8.27 + 2*g1^19*g2^11*t^8.27 + 5*g1^7*g2^15*t^8.27 + 2*g1^11*g2^19*t^8.27 + (2*g2^23*t^8.27)/g1 + g1^23*g2^15*t^8.28 + g1^15*g2^23*t^8.28 + t^8.98/(g1^12*g2^12) + (g1^12*t^8.99)/g2^20 - (g1^4*t^8.99)/g2^12 - t^8.99/(g1^8*g2^8) - (4*t^8.99)/(g1^4*g2^4) - (g2^4*t^8.99)/g1^12 + (g2^12*t^8.99)/g1^20 - t^4.5/(g1^2*g2^2*y) - (g1*t^6.75)/(g2^7*y) - (g2*t^6.75)/(g1^7*y) + (g1^10*t^7.5)/(g2^6*y) + t^7.5/(g1^2*g2^2*y) + (2*g1^2*g2^2*t^7.5)/y + (g2^10*t^7.5)/(g1^6*y) + (g1^6*g2^6*t^7.51)/y + t^8.24/(g1*g2^9*y) + t^8.24/(g1^9*g2*y) + (3*g1^3*t^8.25)/(g2^5*y) + (2*g1^7*t^8.25)/(g2*y) + (3*g2^3*t^8.25)/(g1^5*y) + (2*g2^7*t^8.25)/(g1*y) + (2*g1^11*g2^3*t^8.26)/y + (2*g1^3*g2^11*t^8.26)/y + (g1^15*g2^7*t^8.27)/y + (g1^7*g2^15*t^8.27)/y - (g1^4*t^8.99)/(g2^12*y) - (g2^4*t^8.99)/(g1^12*y) - (t^4.5*y)/(g1^2*g2^2) - (g1*t^6.75*y)/g2^7 - (g2*t^6.75*y)/g1^7 + (g1^10*t^7.5*y)/g2^6 + (t^7.5*y)/(g1^2*g2^2) + 2*g1^2*g2^2*t^7.5*y + (g2^10*t^7.5*y)/g1^6 + g1^6*g2^6*t^7.51*y + (t^8.24*y)/(g1*g2^9) + (t^8.24*y)/(g1^9*g2) + (3*g1^3*t^8.25*y)/g2^5 + (2*g1^7*t^8.25*y)/g2 + (3*g2^3*t^8.25*y)/g1^5 + (2*g2^7*t^8.25*y)/g1 + 2*g1^11*g2^3*t^8.26*y + 2*g1^3*g2^11*t^8.26*y + g1^15*g2^7*t^8.27*y + g1^7*g2^15*t^8.27*y - (g1^4*t^8.99*y)/g2^12 - (g2^4*t^8.99*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1298 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_6q_2\tilde{q}_1$ | 0.61 | 0.7825 | 0.7796 | [X:[], M:[1.0, 1.0801, 0.8398, 0.7003, 0.7597, 1.1602], q:[0.77, 0.23], qb:[0.6098, 0.5504], phi:[0.4599]] | t^2.1 + t^2.28 + t^2.34 + t^2.52 + t^2.76 + t^3. + t^3.24 + t^3.48 + t^3.96 + t^4.14 + t^4.2 + t^4.38 + t^4.44 + t^4.56 + 2*t^4.62 + 2*t^4.68 + t^4.8 + 2*t^4.86 + 2*t^5.04 + 2*t^5.1 + 2*t^5.28 + 2*t^5.34 + 3*t^5.52 + 2*t^5.58 + 2*t^5.76 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 2009 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ | 0.6436 | 0.8459 | 0.7608 | [X:[], M:[1.0, 1.0114, 0.9772, 0.7396, 0.7547, 1.0228, 0.7282], q:[0.7529, 0.2471], qb:[0.519, 0.5038], phi:[0.4943]] | t^2.18 + t^2.22 + t^2.25 + t^2.26 + t^2.3 + t^2.97 + t^3. + t^3.03 + t^3.07 + t^3.77 + t^4.37 + t^4.4 + 2*t^4.44 + t^4.45 + t^4.47 + 2*t^4.48 + 2*t^4.51 + 2*t^4.52 + t^4.53 + 2*t^4.55 + t^4.56 + 2*t^4.6 + t^5.15 + t^5.18 + 3*t^5.22 + 3*t^5.25 + 2*t^5.26 + 2*t^5.29 + 2*t^5.3 + t^5.32 + 2*t^5.33 + t^5.37 + t^5.93 + t^5.99 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 525 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6284 | 0.8132 | 0.7728 | [X:[], M:[1.0, 1.0446, 0.9108, 0.7388, 0.7388], q:[0.7612, 0.2388], qb:[0.5446, 0.5446], phi:[0.4777]] | 2*t^2.22 + 2*t^2.35 + t^2.73 + t^2.87 + t^3. + t^3.13 + 2*t^3.92 + 3*t^4.43 + 4*t^4.57 + 6*t^4.7 + 2*t^4.95 + 2*t^5.08 + 4*t^5.22 + 4*t^5.35 + t^5.46 + 2*t^5.48 + t^5.6 + 2*t^5.73 + t^5.87 - 4*t^6. - t^4.43/y - t^4.43*y | detail |