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 |
---|---|---|---|---|---|---|---|---|---|
50843 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.625 | 0.8101 | 0.7715 | [M:[1.0193, 0.9615, 1.0, 1.0193, 0.7356, 0.7548], q:[0.5096, 0.5289], qb:[0.7548, 0.2452], phi:[0.4904]] | [M:[[-4], [8], [0], [-4], [3], [-1]], q:[[-2], [-6]], qb:[[-1], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$ | ${}$ | -2 | t^2.207 + 2*t^2.264 + t^2.322 + t^2.884 + t^3. + 2*t^3.058 + t^3.793 + t^3.851 + t^4.413 + 2*t^4.471 + 5*t^4.529 + 3*t^4.587 + 2*t^4.644 + t^5.091 + t^5.149 + t^5.207 + 4*t^5.264 + 5*t^5.322 + 2*t^5.38 + t^5.769 + t^5.884 - 2*t^6. + 3*t^6.058 + 5*t^6.116 + t^6.173 + t^6.678 + 3*t^6.736 + 6*t^6.793 + 8*t^6.851 + 6*t^6.909 + 2*t^6.967 + t^7.298 + t^7.356 + 2*t^7.413 + t^7.471 + 5*t^7.529 + 10*t^7.587 + 7*t^7.644 + 4*t^7.702 + t^7.975 + t^8.033 + t^8.091 + t^8.149 - 4*t^8.207 - 6*t^8.264 + 3*t^8.322 + 9*t^8.38 + 6*t^8.438 + 2*t^8.496 + t^8.653 + t^8.769 + t^8.827 - 2*t^8.884 + t^8.942 - t^4.471/y - t^6.678/y - t^6.736/y - t^7.356/y + t^7.413/y + (2*t^7.471)/y + t^7.529/y + (3*t^7.587)/y + t^8.091/y + (2*t^8.149)/y + (3*t^8.207)/y + (5*t^8.264)/y + (5*t^8.322)/y + (2*t^8.38)/y + t^8.942/y - t^4.471*y - t^6.678*y - t^6.736*y - t^7.356*y + t^7.413*y + 2*t^7.471*y + t^7.529*y + 3*t^7.587*y + t^8.091*y + 2*t^8.149*y + 3*t^8.207*y + 5*t^8.264*y + 5*t^8.322*y + 2*t^8.38*y + t^8.942*y | g1^3*t^2.207 + (2*t^2.264)/g1 + t^2.322/g1^5 + g1^8*t^2.884 + t^3. + (2*t^3.058)/g1^4 + t^3.793/g1^3 + t^3.851/g1^7 + g1^6*t^4.413 + 2*g1^2*t^4.471 + (5*t^4.529)/g1^2 + (3*t^4.587)/g1^6 + (2*t^4.644)/g1^10 + g1^11*t^5.091 + g1^7*t^5.149 + g1^3*t^5.207 + (4*t^5.264)/g1 + (5*t^5.322)/g1^5 + (2*t^5.38)/g1^9 + g1^16*t^5.769 + g1^8*t^5.884 - 2*t^6. + (3*t^6.058)/g1^4 + (5*t^6.116)/g1^8 + t^6.173/g1^12 + g1^5*t^6.678 + 3*g1*t^6.736 + (6*t^6.793)/g1^3 + (8*t^6.851)/g1^7 + (6*t^6.909)/g1^11 + (2*t^6.967)/g1^15 + g1^14*t^7.298 + g1^10*t^7.356 + 2*g1^6*t^7.413 + g1^2*t^7.471 + (5*t^7.529)/g1^2 + (10*t^7.587)/g1^6 + (7*t^7.644)/g1^10 + (4*t^7.702)/g1^14 + g1^19*t^7.975 + g1^15*t^8.033 + g1^11*t^8.091 + g1^7*t^8.149 - 4*g1^3*t^8.207 - (6*t^8.264)/g1 + (3*t^8.322)/g1^5 + (9*t^8.38)/g1^9 + (6*t^8.438)/g1^13 + (2*t^8.496)/g1^17 + g1^24*t^8.653 + g1^16*t^8.769 + g1^12*t^8.827 - 2*g1^8*t^8.884 + g1^4*t^8.942 - (g1^2*t^4.471)/y - (g1^5*t^6.678)/y - (g1*t^6.736)/y - (g1^10*t^7.356)/y + (g1^6*t^7.413)/y + (2*g1^2*t^7.471)/y + t^7.529/(g1^2*y) + (3*t^7.587)/(g1^6*y) + (g1^11*t^8.091)/y + (2*g1^7*t^8.149)/y + (3*g1^3*t^8.207)/y + (5*t^8.264)/(g1*y) + (5*t^8.322)/(g1^5*y) + (2*t^8.38)/(g1^9*y) + (g1^4*t^8.942)/y - g1^2*t^4.471*y - g1^5*t^6.678*y - g1*t^6.736*y - g1^10*t^7.356*y + g1^6*t^7.413*y + 2*g1^2*t^7.471*y + (t^7.529*y)/g1^2 + (3*t^7.587*y)/g1^6 + g1^11*t^8.091*y + 2*g1^7*t^8.149*y + 3*g1^3*t^8.207*y + (5*t^8.264*y)/g1 + (5*t^8.322*y)/g1^5 + (2*t^8.38*y)/g1^9 + g1^4*t^8.942*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 |
---|---|---|---|---|---|---|---|---|
56150 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ | 0.6055 | 0.7749 | 0.7813 | [M:[1.0141, 0.9717, 1.0, 1.0141, 0.7394, 0.7535, 1.2606], q:[0.5071, 0.5212], qb:[0.7535, 0.2465], phi:[0.4929]] | 2*t^2.261 + t^2.303 + t^2.915 + t^3. + 2*t^3.042 + 2*t^3.782 + t^3.824 + 4*t^4.521 + 3*t^4.564 + 2*t^4.606 + t^5.176 + 2*t^5.261 + 5*t^5.303 + 2*t^5.345 + t^5.83 + t^5.915 - 3*t^6. - t^4.479/y - t^4.479*y | detail | |
56151 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6447 | 0.8459 | 0.7621 | [M:[1.0239, 0.9521, 1.0, 1.0239, 0.732, 0.756, 0.732], q:[0.512, 0.5359], qb:[0.756, 0.244], phi:[0.488]] | 2*t^2.196 + 2*t^2.268 + t^2.34 + t^2.856 + t^3. + 2*t^3.072 + t^3.876 + 3*t^4.392 + 4*t^4.464 + 6*t^4.536 + 3*t^4.608 + 2*t^4.68 + 2*t^5.052 + t^5.124 + 2*t^5.196 + 6*t^5.268 + 5*t^5.34 + 2*t^5.412 + t^5.713 + t^5.856 - 3*t^6. - t^4.464/y - t^4.464*y | detail | |
56152 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6453 | 0.8481 | 0.761 | [M:[1.0259, 0.9482, 1.0, 1.0259, 0.7306, 0.7565, 0.7047], q:[0.5129, 0.5388], qb:[0.7565, 0.2435], phi:[0.4871]] | t^2.114 + t^2.192 + 2*t^2.269 + t^2.347 + t^2.845 + t^3. + 2*t^3.078 + t^3.808 + t^4.228 + t^4.306 + 3*t^4.383 + 3*t^4.461 + 5*t^4.539 + 3*t^4.617 + 2*t^4.694 + t^4.959 + t^5.036 + 2*t^5.114 + 3*t^5.192 + 4*t^5.269 + 5*t^5.347 + 2*t^5.425 + t^5.689 + t^5.845 + t^5.922 - 2*t^6. - t^4.461/y - t^4.461*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 |
---|---|---|---|---|---|---|---|---|---|
47255 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6062 | 0.7757 | 0.7814 | [M:[1.0213, 0.9574, 1.0, 1.0213, 0.734], q:[0.5106, 0.5319], qb:[0.7553, 0.2447], phi:[0.4894]] | t^2.202 + t^2.266 + t^2.33 + t^2.872 + t^3. + 2*t^3.064 + t^3.734 + t^3.798 + t^3.862 + t^4.404 + t^4.468 + 3*t^4.532 + 2*t^4.596 + 2*t^4.66 + t^5.074 + t^5.202 + 3*t^5.266 + 3*t^5.33 + 2*t^5.394 + t^5.744 + t^5.872 + t^5.936 - t^6. - t^4.468/y - t^4.468*y | detail |