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 |
|---|---|---|---|---|---|---|---|---|---|
| 1513 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ | 0.6852 | 0.8517 | 0.8045 | [X:[1.3319], M:[1.1135, 0.6681, 0.7815, 1.0, 1.0, 0.7815, 0.8865], q:[0.5525, 0.334], qb:[0.666, 0.666], phi:[0.4454]] | [X:[[0, 6]], M:[[0, -10], [0, -6], [1, -19], [-1, 3], [1, -3], [-1, -13], [0, 10]], q:[[0, 13], [0, -3]], qb:[[-1, 6], [1, 0]], phi:[[0, -4]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$ | ${}M_{4}^{2}$, ${ }M_{5}^{2}$ | -2 | 2*t^2.345 + t^2.66 + t^2.672 + 2*t^3. + t^3.34 + 2*t^3.996 + 2*t^4.336 + t^4.651 + 3*t^4.689 + 2*t^4.992 + 2*t^5.017 + t^5.319 + 4*t^5.332 + 4*t^5.345 + 2*t^5.672 + 2*t^5.685 - 2*t^6. + t^6.013 + 2*t^6.34 + t^6.668 + 4*t^6.681 + 2*t^6.996 + 2*t^7.008 + 4*t^7.034 + t^7.311 + 4*t^7.336 - t^7.349 + 3*t^7.362 + 2*t^7.651 + 6*t^7.677 + 6*t^7.689 + 5*t^7.992 + 2*t^8.004 + 4*t^8.017 + 3*t^8.03 - 2*t^8.319 + 6*t^8.332 - 4*t^8.345 + 2*t^8.357 + t^8.647 - 6*t^8.66 + t^8.672 + 3*t^8.685 + 2*t^8.987 - t^4.336/y - (2*t^6.681)/y - t^7.008/y + t^7.664/y + t^7.689/y + (2*t^7.992)/y + (2*t^8.004)/y + (2*t^8.017)/y + t^8.332/y + (4*t^8.345)/y + (2*t^8.66)/y + (2*t^8.672)/y + (2*t^8.685)/y - t^4.336*y - 2*t^6.681*y - t^7.008*y + t^7.664*y + t^7.689*y + 2*t^7.992*y + 2*t^8.004*y + 2*t^8.017*y + t^8.332*y + 4*t^8.345*y + 2*t^8.66*y + 2*t^8.672*y + 2*t^8.685*y | (g1*t^2.345)/g2^19 + t^2.345/(g1*g2^13) + g2^10*t^2.66 + t^2.672/g2^8 + (g1*t^3.)/g2^3 + (g2^3*t^3.)/g1 + t^3.34/g2^10 + 2*g2^6*t^3.996 + (g1*t^4.336)/g2^7 + t^4.336/(g1*g2) + g2^22*t^4.651 + (g1^2*t^4.689)/g2^38 + t^4.689/g2^32 + t^4.689/(g1^2*g2^26) + g1*g2^9*t^4.992 + (g2^15*t^4.992)/g1 + (g1*t^5.017)/g2^27 + t^5.017/(g1*g2^21) + g2^20*t^5.319 + (g1^2*t^5.332)/g2^4 + 2*g2^2*t^5.332 + (g2^8*t^5.332)/g1^2 + (g1^2*t^5.345)/g2^22 + (2*t^5.345)/g2^16 + t^5.345/(g1^2*g2^10) + (g1*t^5.672)/g2^11 + t^5.672/(g1*g2^5) + (g1*t^5.685)/g2^29 + t^5.685/(g1*g2^23) - 2*t^6. + t^6.013/g2^18 + (g1*t^6.34)/g2^13 + t^6.34/(g1*g2^7) + t^6.668/g2^2 + (g1^2*t^6.681)/g2^26 + (2*t^6.681)/g2^20 + t^6.681/(g1^2*g2^14) + g1*g2^3*t^6.996 + (g2^9*t^6.996)/g1 + (g1*t^7.008)/g2^15 + t^7.008/(g1*g2^9) + (g1^3*t^7.034)/g2^57 + (g1*t^7.034)/g2^51 + t^7.034/(g1*g2^45) + t^7.034/(g1^3*g2^39) + g2^32*t^7.311 + (g1^2*t^7.336)/g2^10 + (2*t^7.336)/g2^4 + (g2^2*t^7.336)/g1^2 - t^7.349/g2^22 + (g1^2*t^7.362)/g2^46 + t^7.362/g2^40 + t^7.362/(g1^2*g2^34) + g1*g2^19*t^7.651 + (g2^25*t^7.651)/g1 + (g1^3*t^7.677)/g2^23 + (2*g1*t^7.677)/g2^17 + (2*t^7.677)/(g1*g2^11) + t^7.677/(g1^3*g2^5) + (g1^3*t^7.689)/g2^41 + (2*g1*t^7.689)/g2^35 + (2*t^7.689)/(g1*g2^29) + t^7.689/(g1^3*g2^23) + g1^2*g2^6*t^7.992 + 3*g2^12*t^7.992 + (g2^18*t^7.992)/g1^2 + t^8.004/g1^2 + (g1^2*t^8.004)/g2^12 + (g1^2*t^8.017)/g2^30 + (2*t^8.017)/g2^24 + t^8.017/(g1^2*g2^18) + (g1^2*t^8.03)/g2^48 + t^8.03/g2^42 + t^8.03/(g1^2*g2^36) - g1*g2^17*t^8.319 - (g2^23*t^8.319)/g1 + (g1^3*t^8.332)/g2^7 + (2*g1*t^8.332)/g2 + (2*g2^5*t^8.332)/g1 + (g2^11*t^8.332)/g1^3 - (2*g1*t^8.345)/g2^19 - (2*t^8.345)/(g1*g2^13) + (g1*t^8.357)/g2^37 + t^8.357/(g1*g2^31) + g2^28*t^8.647 - g1^2*g2^4*t^8.66 - 4*g2^10*t^8.66 - (g2^16*t^8.66)/g1^2 + (g1^2*t^8.672)/g2^14 - t^8.672/g2^8 + t^8.672/(g1^2*g2^2) + (g1^2*t^8.685)/g2^32 + t^8.685/g2^26 + t^8.685/(g1^2*g2^20) + g1*g2^15*t^8.987 + (g2^21*t^8.987)/g1 - t^4.336/(g2^4*y) - (g1*t^6.681)/(g2^23*y) - t^6.681/(g1*g2^17*y) - t^7.008/(g2^12*y) + (g2^4*t^7.664)/y + t^7.689/(g2^32*y) + (g1*g2^9*t^7.992)/y + (g2^15*t^7.992)/(g1*y) + (g1*t^8.004)/(g2^9*y) + t^8.004/(g1*g2^3*y) + (g1*t^8.017)/(g2^27*y) + t^8.017/(g1*g2^21*y) + (g2^2*t^8.332)/y + (g1^2*t^8.345)/(g2^22*y) + (2*t^8.345)/(g2^16*y) + t^8.345/(g1^2*g2^10*y) + (g1*g2^7*t^8.66)/y + (g2^13*t^8.66)/(g1*y) + (g1*t^8.672)/(g2^11*y) + t^8.672/(g1*g2^5*y) + (g1*t^8.685)/(g2^29*y) + t^8.685/(g1*g2^23*y) - (t^4.336*y)/g2^4 - (g1*t^6.681*y)/g2^23 - (t^6.681*y)/(g1*g2^17) - (t^7.008*y)/g2^12 + g2^4*t^7.664*y + (t^7.689*y)/g2^32 + g1*g2^9*t^7.992*y + (g2^15*t^7.992*y)/g1 + (g1*t^8.004*y)/g2^9 + (t^8.004*y)/(g1*g2^3) + (g1*t^8.017*y)/g2^27 + (t^8.017*y)/(g1*g2^21) + g2^2*t^8.332*y + (g1^2*t^8.345*y)/g2^22 + (2*t^8.345*y)/g2^16 + (t^8.345*y)/(g1^2*g2^10) + g1*g2^7*t^8.66*y + (g2^13*t^8.66*y)/g1 + (g1*t^8.672*y)/g2^11 + (t^8.672*y)/(g1*g2^5) + (g1*t^8.685*y)/g2^29 + (t^8.685*y)/(g1*g2^23) |
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 |
|---|---|---|---|---|---|---|---|---|
| 2611 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ | 0.6961 | 0.8694 | 0.8006 | [X:[1.3228], M:[1.1287, 0.6772, 0.8059, 1.0, 1.0, 0.8059, 0.8713, 0.8713], q:[0.5327, 0.3386], qb:[0.6614, 0.6614], phi:[0.4515]] | 2*t^2.418 + 2*t^2.614 + t^2.709 + 2*t^3. + 2*t^3.968 + 2*t^4.354 + t^4.551 + 3*t^4.835 + 2*t^4.937 + 2*t^5.032 + 2*t^5.127 + 3*t^5.228 + 5*t^5.323 + 4*t^5.418 + 2*t^5.614 + 2*t^5.709 - 3*t^6. - t^4.354/y - t^4.354*y | detail | |
| 2616 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{2}$ | 0.5883 | 0.7268 | 0.8095 | [X:[1.4118, 1.6078], M:[0.9804, 0.5882, 0.3922, 1.1765, 0.8235, 0.7451, 1.0196], q:[0.7255, 0.2941], qb:[0.8824, 0.5294], phi:[0.3922]] | t^2.235 + t^2.353 + t^2.471 + t^2.941 + t^3.059 + t^3.529 + t^3.647 + t^4.235 + t^4.353 + t^4.471 + t^4.588 + 2*t^4.706 + 2*t^4.824 + t^4.941 + t^5.176 + t^5.294 + t^5.412 + t^5.529 + t^5.765 + 2*t^5.882 - t^4.176/y - t^4.176*y | detail | {a: 8161/13872, c: 5041/6936, X1: 24/17, X2: 82/51, M1: 50/51, M2: 10/17, M3: 20/51, M4: 20/17, M5: 14/17, M6: 38/51, M7: 52/51, q1: 37/51, q2: 5/17, qb1: 15/17, qb2: 9/17, phi1: 20/51} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 976 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7686 | 0.9726 | 0.7902 | [M:[0.8603, 0.8907, 0.7511, 1.0, 1.0, 0.7511, 0.6715], q:[0.6943, 0.4454], qb:[0.5546, 0.5546], phi:[0.4378]] | t^2.015 + 2*t^2.253 + t^2.581 + t^2.627 + t^2.672 + 2*t^3. + t^4.029 + 2*t^4.268 + 2*t^4.313 + 3*t^4.506 + t^4.595 + 4*t^4.641 + t^4.687 + t^4.732 + 2*t^4.834 + 2*t^4.88 + 2*t^4.925 + 2*t^5.015 + 2*t^5.06 + t^5.162 + t^5.208 + 5*t^5.253 + t^5.299 + t^5.344 + t^5.479 + 2*t^5.627 - 3*t^6. - t^4.313/y - t^4.313*y | detail |