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 |
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55159 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1^2$ | 0.6836 | 0.8569 | 0.7977 | [X:[], M:[0.8445, 1.0756, 1.1555, 0.7732, 0.9244, 0.7646], q:[0.3866, 0.7689], qb:[0.5378, 0.4579], phi:[0.4622]] | [X:[], M:[[5], [4], [-5], [-12], [-4], [14]], q:[[-6], [1]], qb:[[2], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_6$, $ M_4$, $ M_1$, $ M_5$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_4M_6$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_1M_6$, $ M_1M_4$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_5M_6$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ M_1\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_6$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | . | -2 | t^2.29 + t^2.32 + t^2.53 + 2*t^2.77 + t^2.99 + t^3.47 + 2*t^3.92 + t^4.13 + t^4.16 + t^4.37 + t^4.59 + 2*t^4.61 + t^4.64 + t^4.83 + t^4.85 + 3*t^5.07 + 2*t^5.09 + t^5.28 + 3*t^5.31 + t^5.52 + 2*t^5.55 + 2*t^5.76 + t^5.97 - 2*t^6. + t^6.21 + 2*t^6.24 + t^6.43 + 2*t^6.45 + t^6.48 + 2*t^6.67 + 3*t^6.69 + t^6.88 + 6*t^6.91 + 2*t^6.93 + t^6.96 + 2*t^7.12 + t^7.15 + 3*t^7.36 + 3*t^7.39 + 2*t^7.41 + t^7.57 + 3*t^7.6 + 2*t^7.63 + t^7.81 + 4*t^7.84 + 2*t^7.87 + 4*t^8.05 + 3*t^8.08 + 2*t^8.27 - t^8.32 + 3*t^8.51 + t^8.72 + 3*t^8.75 - 3*t^8.77 + t^8.8 + 3*t^8.96 - t^4.39/y - t^6.68/y - t^6.71/y - t^7.16/y + (2*t^7.61)/y + t^7.83/y + t^7.85/y + (3*t^8.07)/y + (3*t^8.09)/y + t^8.28/y + (3*t^8.31)/y + t^8.52/y + t^8.55/y + (3*t^8.76)/y + t^8.79/y - t^8.97/y - t^4.39*y - t^6.68*y - t^6.71*y - t^7.16*y + 2*t^7.61*y + t^7.83*y + t^7.85*y + 3*t^8.07*y + 3*t^8.09*y + t^8.28*y + 3*t^8.31*y + t^8.52*y + t^8.55*y + 3*t^8.76*y + t^8.79*y - t^8.97*y | g1^14*t^2.29 + t^2.32/g1^12 + g1^5*t^2.53 + (2*t^2.77)/g1^4 + g1^13*t^2.99 + t^3.47/g1^5 + 2*g1^3*t^3.92 + g1^20*t^4.13 + t^4.16/g1^6 + g1^11*t^4.37 + g1^28*t^4.59 + 2*g1^2*t^4.61 + t^4.64/g1^24 + g1^19*t^4.83 + t^4.85/g1^7 + 3*g1^10*t^5.07 + (2*t^5.09)/g1^16 + g1^27*t^5.28 + 3*g1*t^5.31 + g1^18*t^5.52 + (2*t^5.55)/g1^8 + 2*g1^9*t^5.76 + g1^26*t^5.97 - 2*t^6. + g1^17*t^6.21 + (2*t^6.24)/g1^9 + g1^34*t^6.43 + 2*g1^8*t^6.45 + t^6.48/g1^18 + 2*g1^25*t^6.67 + (3*t^6.69)/g1 + g1^42*t^6.88 + 6*g1^16*t^6.91 + (2*t^6.93)/g1^10 + t^6.96/g1^36 + 2*g1^33*t^7.12 + g1^7*t^7.15 + 3*g1^24*t^7.36 + (3*t^7.39)/g1^2 + (2*t^7.41)/g1^28 + g1^41*t^7.57 + 3*g1^15*t^7.6 + (2*t^7.63)/g1^11 + g1^32*t^7.81 + 4*g1^6*t^7.84 + (2*t^7.87)/g1^20 + 4*g1^23*t^8.05 + (3*t^8.08)/g1^3 + 2*g1^40*t^8.27 - t^8.32/g1^12 + 3*g1^31*t^8.51 + g1^48*t^8.72 + 3*g1^22*t^8.75 - (3*t^8.77)/g1^4 + t^8.8/g1^30 + 3*g1^39*t^8.96 - t^4.39/(g1^2*y) - (g1^12*t^6.68)/y - t^6.71/(g1^14*y) - t^7.16/(g1^6*y) + (2*g1^2*t^7.61)/y + (g1^19*t^7.83)/y + t^7.85/(g1^7*y) + (3*g1^10*t^8.07)/y + (3*t^8.09)/(g1^16*y) + (g1^27*t^8.28)/y + (3*g1*t^8.31)/y + (g1^18*t^8.52)/y + t^8.55/(g1^8*y) + (3*g1^9*t^8.76)/y + t^8.79/(g1^17*y) - (g1^26*t^8.97)/y - (t^4.39*y)/g1^2 - g1^12*t^6.68*y - (t^6.71*y)/g1^14 - (t^7.16*y)/g1^6 + 2*g1^2*t^7.61*y + g1^19*t^7.83*y + (t^7.85*y)/g1^7 + 3*g1^10*t^8.07*y + (3*t^8.09*y)/g1^16 + g1^27*t^8.28*y + 3*g1*t^8.31*y + g1^18*t^8.52*y + (t^8.55*y)/g1^8 + 3*g1^9*t^8.76*y + (t^8.79*y)/g1^17 - g1^26*t^8.97*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 |
---|---|---|---|---|---|---|---|---|
56851 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1^2$ + $ M_6^2$ + $ M_4X_1$ | 0.6068 | 0.7407 | 0.8192 | [X:[1.4286], M:[0.9286, 1.1429, 1.0714, 0.5714, 0.8571, 1.0], q:[0.2857, 0.7857], qb:[0.5714, 0.6429], phi:[0.4286]] | 2*t^2.57 + t^2.79 + t^3. + t^3.21 + t^3.64 + t^3.86 + 2*t^4.07 + t^4.29 + t^4.71 + 3*t^5.14 + 2*t^5.36 + 3*t^5.57 + t^5.79 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 1665/2744, c: 4065/5488, X1: 10/7, M1: 13/14, M2: 8/7, M3: 15/14, M4: 4/7, M5: 6/7, M6: 1, q1: 2/7, q2: 11/14, qb1: 4/7, qb2: 9/14, phi1: 3/7} |
56853 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1^2$ + $ \tilde{q}_1^2\tilde{q}_2^2$ | 0.6836 | 0.8567 | 0.798 | [X:[], M:[0.8462, 1.0769, 1.1538, 0.7692, 0.9231, 0.7692], q:[0.3846, 0.7692], qb:[0.5385, 0.4615], phi:[0.4615]] | 2*t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + 2*t^3.92 + 2*t^4.15 + t^4.38 + 4*t^4.62 + 2*t^4.85 + 5*t^5.08 + 4*t^5.31 + 3*t^5.54 + 2*t^5.77 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 12015/17576, c: 15057/17576, M1: 11/13, M2: 14/13, M3: 15/13, M4: 10/13, M5: 12/13, M6: 10/13, q1: 5/13, q2: 10/13, qb1: 7/13, qb2: 6/13, phi1: 6/13} |
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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46891 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ \phi_1q_2^2$ | 0.6658 | 0.8247 | 0.8074 | [X:[], M:[0.8534, 1.0828, 1.1466, 0.7517, 0.9172], q:[0.3759, 0.7707], qb:[0.5414, 0.4776], phi:[0.4586]] | t^2.26 + t^2.56 + 2*t^2.75 + t^3.06 + t^3.44 + t^3.63 + 2*t^3.94 + t^4.13 + t^4.24 + t^4.43 + t^4.51 + t^4.62 + t^4.82 + 2*t^5.01 + t^5.12 + 3*t^5.31 + 2*t^5.5 + t^5.62 + t^5.81 + t^5.89 - 2*t^6. - t^4.38/y - t^4.38*y | detail |