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 |
|---|---|---|---|---|---|---|---|---|---|
| 55312 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6493 | 0.8027 | 0.8089 | [M:[0.9348, 1.1478, 1.0927, 0.8522, 0.6942, 1.0927], q:[0.505, 0.5601], qb:[0.3471, 0.7732], phi:[0.4536]] | [M:[[-10], [-8], [4], [8], [-6], [4]], q:[[11], [-1]], qb:[[-3], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.083 + t^2.556 + t^2.804 + 2*t^3.278 + t^3.361 + t^3.444 + t^3.835 + t^4. + t^4.083 + t^4.165 + t^4.391 + t^4.556 + t^4.639 + t^4.722 + t^4.887 + t^5.113 + 2*t^5.361 + t^5.444 + t^5.609 + t^5.835 + 2*t^5.917 - 2*t^6. + 2*t^6.083 + t^6.165 + 2*t^6.248 + t^6.391 + 2*t^6.556 + 2*t^6.639 + t^6.722 + 2*t^6.804 + t^6.887 + t^6.948 + t^6.97 + 2*t^7.113 + t^7.196 + t^7.278 + t^7.361 + 3*t^7.444 + 2*t^7.526 + 3*t^7.669 + t^7.692 + t^7.835 + t^7.917 + 2*t^8. - 2*t^8.083 + 3*t^8.165 + t^8.226 + t^8.248 + t^8.331 + 2*t^8.391 + t^8.413 + t^8.474 - t^8.556 + 2*t^8.722 + t^8.782 - 2*t^8.804 + 2*t^8.887 + 2*t^8.948 + t^8.97 - t^4.361/y - t^6.444/y + t^7.083/y - t^7.165/y + t^7.556/y + t^7.887/y + t^8.278/y + (3*t^8.361)/y + t^8.444/y + (2*t^8.835)/y + (2*t^8.917)/y - t^4.361*y - t^6.444*y + t^7.083*y - t^7.165*y + t^7.556*y + t^7.887*y + t^8.278*y + 3*t^8.361*y + t^8.444*y + 2*t^8.835*y + 2*t^8.917*y | t^2.083/g1^6 + g1^8*t^2.556 + t^2.804/g1^10 + 2*g1^4*t^3.278 + t^3.361/g1^2 + t^3.444/g1^8 + g1^12*t^3.835 + t^4. + t^4.083/g1^6 + t^4.165/g1^12 + g1^20*t^4.391 + g1^8*t^4.556 + g1^2*t^4.639 + t^4.722/g1^4 + t^4.887/g1^16 + g1^16*t^5.113 + (2*t^5.361)/g1^2 + t^5.444/g1^8 + t^5.609/g1^20 + g1^12*t^5.835 + 2*g1^6*t^5.917 - 2*t^6. + (2*t^6.083)/g1^6 + t^6.165/g1^12 + (2*t^6.248)/g1^18 + g1^20*t^6.391 + 2*g1^8*t^6.556 + 2*g1^2*t^6.639 + t^6.722/g1^4 + (2*t^6.804)/g1^10 + t^6.887/g1^16 + g1^28*t^6.948 + t^6.97/g1^22 + 2*g1^16*t^7.113 + g1^10*t^7.196 + g1^4*t^7.278 + t^7.361/g1^2 + (3*t^7.444)/g1^8 + (2*t^7.526)/g1^14 + 3*g1^24*t^7.669 + t^7.692/g1^26 + g1^12*t^7.835 + g1^6*t^7.917 + 2*t^8. - (2*t^8.083)/g1^6 + (3*t^8.165)/g1^12 + g1^32*t^8.226 + t^8.248/g1^18 + t^8.331/g1^24 + 2*g1^20*t^8.391 + t^8.413/g1^30 + g1^14*t^8.474 - g1^8*t^8.556 + (2*t^8.722)/g1^4 + g1^40*t^8.782 - (2*t^8.804)/g1^10 + (2*t^8.887)/g1^16 + 2*g1^28*t^8.948 + t^8.97/g1^22 - t^4.361/(g1^2*y) - t^6.444/(g1^8*y) + t^7.083/(g1^6*y) - t^7.165/(g1^12*y) + (g1^8*t^7.556)/y + t^7.887/(g1^16*y) + (g1^4*t^8.278)/y + (3*t^8.361)/(g1^2*y) + t^8.444/(g1^8*y) + (2*g1^12*t^8.835)/y + (2*g1^6*t^8.917)/y - (t^4.361*y)/g1^2 - (t^6.444*y)/g1^8 + (t^7.083*y)/g1^6 - (t^7.165*y)/g1^12 + g1^8*t^7.556*y + (t^7.887*y)/g1^16 + g1^4*t^8.278*y + (3*t^8.361*y)/g1^2 + (t^8.444*y)/g1^8 + 2*g1^12*t^8.835*y + 2*g1^6*t^8.917*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 |
|---|---|---|---|---|---|---|---|---|
| 56953 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.6449 | 0.7968 | 0.8093 | [M:[0.97, 1.176, 1.0787, 0.824, 0.7153, 1.0787, 1.03], q:[0.4663, 0.5637], qb:[0.3577, 0.7697], phi:[0.4607]] | t^2.146 + t^2.472 + t^3.09 + 2*t^3.236 + t^3.382 + t^3.528 + t^3.708 + t^4. + t^4.146 + t^4.18 + t^4.292 + t^4.472 + t^4.618 + t^4.764 + t^4.944 + t^5.236 + t^5.382 + t^5.528 + t^5.562 + t^5.708 + 2*t^5.854 - 2*t^6. - t^4.382/y - t^4.382*y | detail | |
| 56955 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6695 | 0.8409 | 0.7962 | [M:[0.9244, 1.1395, 1.0969, 0.8605, 0.688, 1.0969, 0.7093], q:[0.5165, 0.5591], qb:[0.344, 0.7742], phi:[0.4515]] | t^2.064 + t^2.128 + t^2.581 + t^2.773 + 2*t^3.291 + t^3.355 + t^3.419 + t^4. + t^4.064 + t^4.128 + t^4.192 + t^4.256 + t^4.454 + t^4.581 + t^4.645 + 2*t^4.709 + t^4.837 + t^4.901 + t^5.163 + 2*t^5.355 + 3*t^5.419 + t^5.482 + 2*t^5.546 + t^5.872 + t^5.936 - 2*t^6. - t^4.355/y - t^4.355*y | detail | |
| 56954 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6601 | 0.8212 | 0.8039 | [M:[0.941, 1.1528, 1.0902, 0.8472, 0.698, 1.0902, 0.8785], q:[0.4982, 0.5608], qb:[0.349, 0.7726], phi:[0.4549]] | t^2.094 + t^2.541 + t^2.635 + t^2.823 + 2*t^3.271 + t^3.459 + t^3.812 + t^4. + t^4.094 + t^4.188 + t^4.354 + t^4.541 + t^4.635 + 2*t^4.729 + t^4.917 + t^5.083 + t^5.177 + t^5.271 + 2*t^5.365 + t^5.459 + t^5.646 + t^5.812 + 3*t^5.906 - 2*t^6. - t^4.365/y - t^4.365*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46933 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.658 | 0.8173 | 0.8051 | [M:[0.9215, 1.1372, 1.098, 0.8628, 0.6863], q:[0.5196, 0.5588], qb:[0.3431, 0.7745], phi:[0.451]] | t^2.059 + t^2.588 + t^2.706 + t^2.765 + t^3.294 + t^3.353 + t^3.412 + t^3.882 + t^4. + t^4.059 + t^4.118 + t^4.471 + t^4.588 + t^4.647 + t^4.706 + t^4.765 + t^4.823 + t^5.177 + t^5.294 + t^5.353 + 2*t^5.412 + t^5.47 + t^5.529 + 2*t^5.941 - t^6. - t^4.353/y - t^4.353*y | detail |