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 |
---|---|---|---|---|---|---|---|---|---|
47909 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4751 | 1.6878 | 0.874 | [M:[0.9839], q:[0.4918, 0.4918], qb:[0.5082, 0.476], phi:[0.3387]] | [M:[[0, -3, 3]], q:[[-1, -12, 0], [1, 0, 0]], qb:[[0, 6, 0], [0, 0, 6]], phi:[[0, 1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | t^2.032 + 2*t^2.904 + t^2.952 + 2*t^3. + 2*t^3.92 + 2*t^4.016 + t^4.064 + 4*t^4.936 + t^4.984 + 4*t^5.032 + t^5.397 + 2*t^5.443 + t^5.493 + 3*t^5.807 + 2*t^5.855 + 4*t^5.904 + 4*t^5.952 - 3*t^6. + 2*t^6.048 + t^6.413 + 2*t^6.459 + t^6.509 + 4*t^6.823 + 2*t^6.871 + 7*t^6.92 + 6*t^6.968 + 4*t^7.064 - t^7.113 + t^7.332 - t^7.426 + 2*t^7.429 + 6*t^7.475 - 2*t^7.477 - t^7.523 + 2*t^7.525 + t^7.622 + 10*t^7.839 + 2*t^7.887 + 14*t^7.936 + 4*t^7.984 + 2*t^8.08 - t^8.129 + 2*t^8.3 + 4*t^8.346 + t^8.348 + 2*t^8.394 + 2*t^8.397 + 2*t^8.445 + 2*t^8.491 - 2*t^8.493 - 4*t^8.539 + t^8.541 - 2*t^8.59 + 4*t^8.711 + 3*t^8.759 + 6*t^8.807 + 12*t^8.855 - 6*t^8.904 + 11*t^8.952 - t^4.016/y - t^5.032/y - t^6.048/y - (2*t^6.92)/y - t^6.968/y - (2*t^7.016)/y - t^7.064/y + t^7.984/y - t^8.08/y + t^8.807/y + (2*t^8.855)/y + (4*t^8.904)/y - t^4.016*y - t^5.032*y - t^6.048*y - 2*t^6.92*y - t^6.968*y - 2*t^7.016*y - t^7.064*y + t^7.984*y - t^8.08*y + t^8.807*y + 2*t^8.855*y + 4*t^8.904*y | (g2^2*t^2.032)/g3^2 + g1*g3^6*t^2.904 + (g3^6*t^2.904)/(g1*g2^12) + (g3^3*t^2.952)/g2^3 + t^3./(g1*g2^6) + g1*g2^6*t^3. + (g3^5*t^3.92)/(g1*g2^11) + g1*g2*g3^5*t^3.92 + t^4.016/(g1*g2^5*g3) + (g1*g2^7*t^4.016)/g3 + (g2^4*t^4.064)/g3^4 + (2*g3^4*t^4.936)/(g1*g2^10) + 2*g1*g2^2*g3^4*t^4.936 + (g3*t^4.984)/g2 + (2*t^5.032)/(g1*g2^4*g3^2) + (2*g1*g2^8*t^5.032)/g3^2 + g2^7*g3^11*t^5.397 + t^5.443/(g1*g2^23*g3) + (g1*t^5.443)/(g2^11*g3) + g2^13*g3^5*t^5.493 + g1^2*g3^12*t^5.807 + (g3^12*t^5.807)/(g1^2*g2^24) + (g3^12*t^5.807)/g2^12 + (g3^9*t^5.855)/(g1*g2^15) + (g1*g3^9*t^5.855)/g2^3 + (g3^6*t^5.904)/(g1^2*g2^18) + (2*g3^6*t^5.904)/g2^6 + g1^2*g2^6*g3^6*t^5.904 + (2*g3^3*t^5.952)/(g1*g2^9) + 2*g1*g2^3*g3^3*t^5.952 - 3*t^6. + t^6.048/(g1*g2^3*g3^3) + (g1*g2^9*t^6.048)/g3^3 + g2^8*g3^10*t^6.413 + t^6.459/(g1*g2^22*g3^2) + (g1*t^6.459)/(g2^10*g3^2) + g2^14*g3^4*t^6.509 + (g3^11*t^6.823)/(g1^2*g2^23) + (2*g3^11*t^6.823)/g2^11 + g1^2*g2*g3^11*t^6.823 + (g3^8*t^6.871)/(g1*g2^14) + (g1*g3^8*t^6.871)/g2^2 + (2*g3^5*t^6.92)/(g1^2*g2^17) + (3*g3^5*t^6.92)/g2^5 + 2*g1^2*g2^7*g3^5*t^6.92 + (3*g3^2*t^6.968)/(g1*g2^8) + 3*g1*g2^4*g3^2*t^6.968 + (2*t^7.064)/(g1*g2^2*g3^4) + (2*g1*g2^10*t^7.064)/g3^4 - (g2^7*t^7.113)/g3^7 + g2^3*g3^15*t^7.332 - t^7.426/g2^18 + 2*g2^9*g3^9*t^7.429 + t^7.475/(g1^3*g2^33*g3^3) + (2*t^7.475)/(g1*g2^21*g3^3) + (2*g1*t^7.475)/(g2^9*g3^3) + (g1^3*g2^3*t^7.475)/g3^3 - (g2^6*g3^6*t^7.477)/g1 - g1*g2^18*g3^6*t^7.477 - t^7.523/(g2^12*g3^6) + 2*g2^15*g3^3*t^7.525 + (g2^21*t^7.622)/g3^3 + (3*g3^10*t^7.839)/(g1^2*g2^22) + (4*g3^10*t^7.839)/g2^10 + 3*g1^2*g2^2*g3^10*t^7.839 + (g3^7*t^7.887)/(g1*g2^13) + (g1*g3^7*t^7.887)/g2 + (4*g3^4*t^7.936)/(g1^2*g2^16) + (6*g3^4*t^7.936)/g2^4 + 4*g1^2*g2^8*g3^4*t^7.936 + (2*g3*t^7.984)/(g1*g2^7) + 2*g1*g2^5*g3*t^7.984 + t^8.032/(g1^2*g2^10*g3^2) - (2*g2^2*t^8.032)/g3^2 + (g1^2*g2^14*t^8.032)/g3^2 + t^8.08/(g1*g2*g3^5) + (g1*g2^11*t^8.08)/g3^5 - (g2^8*t^8.129)/g3^8 + (g3^17*t^8.3)/(g1*g2^5) + g1*g2^7*g3^17*t^8.3 + (g3^5*t^8.346)/(g1^2*g2^35) + (2*g3^5*t^8.346)/g2^23 + (g1^2*g3^5*t^8.346)/g2^11 + g2^4*g3^14*t^8.348 + (g3^2*t^8.394)/(g1*g2^26) + (g1*g3^2*t^8.394)/g2^14 + (g2*g3^11*t^8.397)/g1 + g1*g2^13*g3^11*t^8.397 + 2*g2^10*g3^8*t^8.445 + t^8.491/(g1*g2^20*g3^4) + (g1*t^8.491)/(g2^8*g3^4) - (g2^7*g3^5*t^8.493)/g1 - g1*g2^19*g3^5*t^8.493 - t^8.539/(g1^2*g2^23*g3^7) - (2*t^8.539)/(g2^11*g3^7) - (g1^2*g2*t^8.539)/g3^7 + g2^16*g3^2*t^8.541 - (g2^13*t^8.59)/(g1*g3) - (g1*g2^25*t^8.59)/g3 + g1^3*g3^18*t^8.711 + (g3^18*t^8.711)/(g1^3*g2^36) + (g3^18*t^8.711)/(g1*g2^24) + (g1*g3^18*t^8.711)/g2^12 + (g3^15*t^8.759)/(g1^2*g2^27) + (g3^15*t^8.759)/g2^15 + (g1^2*g3^15*t^8.759)/g2^3 + (g3^12*t^8.807)/(g1^3*g2^30) + (2*g3^12*t^8.807)/(g1*g2^18) + (2*g1*g3^12*t^8.807)/g2^6 + g1^3*g2^6*g3^12*t^8.807 + (3*g3^9*t^8.855)/(g1^2*g2^21) + (6*g3^9*t^8.855)/g2^9 + 3*g1^2*g2^3*g3^9*t^8.855 - 3*g1*g3^6*t^8.904 - (3*g3^6*t^8.904)/(g1*g2^12) + (4*g3^3*t^8.952)/(g1^2*g2^15) + (3*g3^3*t^8.952)/g2^3 + 4*g1^2*g2^9*g3^3*t^8.952 - (g2*t^4.016)/(g3*y) - (g2^2*t^5.032)/(g3^2*y) - (g2^3*t^6.048)/(g3^3*y) - (g3^5*t^6.92)/(g1*g2^11*y) - (g1*g2*g3^5*t^6.92)/y - (g3^2*t^6.968)/(g2^2*y) - t^7.016/(g1*g2^5*g3*y) - (g1*g2^7*t^7.016)/(g3*y) - (g2^4*t^7.064)/(g3^4*y) + (g3*t^7.984)/(g2*y) - (g2^5*t^8.08)/(g3^5*y) + (g3^12*t^8.807)/(g2^12*y) + (g3^9*t^8.855)/(g1*g2^15*y) + (g1*g3^9*t^8.855)/(g2^3*y) + (g3^6*t^8.904)/(g1^2*g2^18*y) + (2*g3^6*t^8.904)/(g2^6*y) + (g1^2*g2^6*g3^6*t^8.904)/y - (g2*t^4.016*y)/g3 - (g2^2*t^5.032*y)/g3^2 - (g2^3*t^6.048*y)/g3^3 - (g3^5*t^6.92*y)/(g1*g2^11) - g1*g2*g3^5*t^6.92*y - (g3^2*t^6.968*y)/g2^2 - (t^7.016*y)/(g1*g2^5*g3) - (g1*g2^7*t^7.016*y)/g3 - (g2^4*t^7.064*y)/g3^4 + (g3*t^7.984*y)/g2 - (g2^5*t^8.08*y)/g3^5 + (g3^12*t^8.807*y)/g2^12 + (g3^9*t^8.855*y)/(g1*g2^15) + (g1*g3^9*t^8.855*y)/g2^3 + (g3^6*t^8.904*y)/(g1^2*g2^18) + (2*g3^6*t^8.904*y)/g2^6 + g1^2*g2^6*g3^6*t^8.904*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 |
---|---|---|---|---|---|---|---|---|
57487 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.4741 | 1.6832 | 0.8758 | [X:[], M:[0.9974], q:[0.5065, 0.491], qb:[0.5013, 0.4961], phi:[0.3342]] | t^2.01 + t^2.96 + t^2.98 + t^2.99 + t^3.01 + t^3.02 + t^3.96 + t^3.98 + 2*t^4.01 + t^4.03 + 2*t^4.97 + 2*t^4.98 + t^5. + 2*t^5.01 + 2*t^5.03 + t^5.47 + t^5.48 + t^5.5 + t^5.51 + t^5.92 + t^5.94 + t^5.95 + 3*t^5.97 + 3*t^5.98 - 2*t^6. - t^4./y - t^5.01/y - t^4.*y - t^5.01*y | detail | |
57493 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.4958 | 1.7274 | 0.8659 | [X:[], M:[0.9861, 0.6877], q:[0.4952, 0.4907], qb:[0.5071, 0.4792], phi:[0.338]] | t^2.03 + t^2.06 + t^2.91 + t^2.92 + t^2.96 + t^2.99 + t^3.01 + t^3.92 + t^4.01 + t^4.02 + t^4.06 + t^4.09 + t^4.13 + 2*t^4.94 + 2*t^4.95 + t^4.97 + 2*t^4.99 + 3*t^5.02 + 2*t^5.03 + t^5.06 + t^5.07 + t^5.41 + t^5.44 + t^5.46 + t^5.49 + t^5.82 + t^5.83 + t^5.85 + t^5.87 + t^5.88 + t^5.9 + 2*t^5.92 + t^5.93 + 2*t^5.95 + t^5.96 + t^5.99 - 3*t^6. - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*y | detail | |
57492 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.4759 | 1.6897 | 0.8735 | [X:[], M:[0.984, 0.9818], q:[0.5102, 0.4739], qb:[0.508, 0.476], phi:[0.3387]] | t^2.03 + t^2.85 + 3*t^2.95 + t^2.96 + t^3.87 + t^3.96 + t^3.97 + t^4.06 + t^4.07 + 2*t^4.88 + 4*t^4.98 + 2*t^4.99 + t^5.09 + t^5.39 + t^5.4 + t^5.49 + t^5.5 + t^5.7 + 3*t^5.8 + t^5.81 + 2*t^5.89 + 5*t^5.9 + t^5.91 + t^5.92 + t^5.99 - 4*t^6. - t^4.02/y - t^5.03/y - t^4.02*y - t^5.03*y | detail | |
57485 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4589 | 1.6703 | 0.8734 | [X:[], M:[0.9886], q:[0.4381, 0.4381], qb:[0.5619, 0.5391], phi:[0.3371]] | t^2.02 + 2*t^2.93 + t^2.97 + 2*t^3. + 2*t^3.94 + 2*t^4.01 + t^4.05 + 6*t^4.95 + t^4.99 + 4*t^5.02 + 3*t^5.86 + 2*t^5.9 + 5*t^5.93 + 6*t^5.97 - 2*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y | detail | |
57484 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ | 1.2331 | 1.4401 | 0.8563 | [X:[1.4718], M:[0.8962], q:[0.7389, 0.2107], qb:[0.5252, 0.3176], phi:[0.3679]] | 2*t^2.21 + 2*t^2.69 + t^3.17 + t^3.31 + 2*t^3.79 + t^4.27 + 4*t^4.42 + 2*t^4.58 + 5*t^4.9 + 2*t^5.21 + 5*t^5.38 + t^5.52 + 2*t^5.69 + 2*t^5.86 + 3*t^6. - t^4.1/y - t^5.21/y - t^4.1*y - t^5.21*y | detail | |
57486 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.4743 | 1.6839 | 0.8755 | [X:[], M:[0.9952], q:[0.4879, 0.5073], qb:[0.5024, 0.4927], phi:[0.3349]] | t^2.01 + t^2.94 + t^2.97 + t^2.99 + t^3. + t^3.03 + t^3.95 + t^3.98 + t^4. + t^4.02 + t^4.03 + 2*t^4.95 + 2*t^4.98 + t^5. + 2*t^5.01 + 2*t^5.04 + t^5.45 + t^5.47 + t^5.5 + t^5.51 + t^5.88 + t^5.91 + t^5.93 + t^5.94 + 2*t^5.96 + 2*t^5.97 + 2*t^5.99 - 2*t^6. - t^4./y - t^5.01/y - t^4.*y - t^5.01*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
47867 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ | 1.4741 | 1.6835 | 0.8756 | [q:[0.4973, 0.4973], qb:[0.5027, 0.4919], phi:[0.3351]] | t^2.011 + 2*t^2.967 + 2*t^3. + t^3.016 + 2*t^3.973 + 2*t^4.005 + t^4.022 + 4*t^4.978 + 4*t^5.011 + t^5.027 + t^5.465 + 2*t^5.481 + t^5.497 + 3*t^5.935 + 3*t^5.967 + 4*t^5.984 - 3*t^6. - t^4.005/y - t^5.011/y - t^4.005*y - t^5.011*y | detail |