Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
1716	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$	0.6066	0.7782	0.7795	[M:[0.9854, 1.0439, 0.7625], q:[0.7463, 0.2683], qb:[0.4911, 0.4649], phi:[0.5073]]	[M:[[4, 4], [-12, -12], [-13, -1]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.2 + t^2.278 + t^2.288 + t^2.956 + t^3.044 + 2*t^3.132 + t^3.634 + t^3.722 + t^3.8 + t^4.312 + t^4.39 + t^4.399 + t^4.469 + t^4.478 + t^4.487 + t^4.557 + t^4.566 + t^4.575 + t^5.156 + t^5.234 + 2*t^5.244 + t^5.322 + 2*t^5.332 + t^5.41 + 2*t^5.419 + t^5.834 + t^5.912 + t^5.921 - t^6. + t^6.009 + 2*t^6.088 + 2*t^6.176 + 3*t^6.264 + t^6.511 + t^6.59 + 2*t^6.599 + 2*t^6.678 + t^6.687 + t^6.747 + t^6.756 + 2*t^6.766 + t^6.775 + t^6.835 + 2*t^6.853 + t^6.863 + t^6.932 + t^7.268 + 2*t^7.355 + 3*t^7.443 + t^7.513 + t^7.522 + 3*t^7.531 + 2*t^7.601 + t^7.61 + 2*t^7.619 + t^7.688 + t^7.698 + 2*t^7.707 + t^7.945 + 2*t^8.033 + t^8.121 - t^8.2 + t^8.209 + t^8.269 - 2*t^8.278 - t^8.288 + t^8.297 + 3*t^8.375 + t^8.454 + 3*t^8.463 + t^8.542 + 3*t^8.551 + t^8.623 + t^8.702 + t^8.711 + t^8.78 + t^8.79 + 2*t^8.799 + t^8.859 + t^8.877 + 2*t^8.887 + t^8.938 - 3*t^8.956 + 2*t^8.965 + t^8.975 - t^4.522/y - t^6.81/y + t^7.39/y + t^7.478/y + t^7.487/y + t^7.566/y - t^7.654/y + t^8.156/y + (2*t^8.234)/y + (2*t^8.244)/y + t^8.322/y + (3*t^8.332)/y + (2*t^8.41)/y + (2*t^8.419)/y + t^8.834/y + t^8.912/y + (2*t^8.921)/y - t^4.522*y - t^6.81*y + t^7.39*y + t^7.478*y + t^7.487*y + t^7.566*y - t^7.654*y + t^8.156*y + 2*t^8.234*y + 2*t^8.244*y + t^8.322*y + 3*t^8.332*y + 2*t^8.41*y + 2*t^8.419*y + t^8.834*y + t^8.912*y + 2*t^8.921*y	(g2^7*t^2.2)/g1^5 + (g1^7*t^2.278)/g2^5 + t^2.288/(g1^13*g2) + g1^4*g2^4*t^2.956 + t^3.044/(g1^4*g2^4) + (2*t^3.132)/(g1^12*g2^12) + g1*g2^13*t^3.634 + (g2^5*t^3.722)/g1^7 + (g1^5*t^3.8)/g2^7 + (g2^22*t^4.312)/g1^2 + g1^10*g2^10*t^4.39 + (g2^14*t^4.399)/g1^10 + (g1^22*t^4.469)/g2^2 + g1^2*g2^2*t^4.478 + (g2^6*t^4.487)/g1^18 + (g1^14*t^4.557)/g2^10 + t^4.566/(g1^6*g2^6) + t^4.575/(g1^26*g2^2) + (g2^11*t^5.156)/g1 + (g1^11*t^5.234)/g2 + (2*g2^3*t^5.244)/g1^9 + (g1^3*t^5.322)/g2^9 + (2*t^5.332)/(g1^17*g2^5) + t^5.41/(g1^5*g2^17) + (2*t^5.419)/(g1^25*g2^13) + (g2^20*t^5.834)/g1^4 + g1^8*g2^8*t^5.912 + (g2^12*t^5.921)/g1^12 - t^6. + (g2^4*t^6.009)/g1^20 + (2*t^6.088)/(g1^8*g2^8) + (2*t^6.176)/(g1^16*g2^16) + (3*t^6.264)/(g1^24*g2^24) + (g2^29*t^6.511)/g1^7 + g1^5*g2^17*t^6.59 + (2*g2^21*t^6.599)/g1^15 + (2*g2^9*t^6.678)/g1^3 + (g2^13*t^6.687)/g1^23 + (g1^29*t^6.747)/g2^7 + (g1^9*t^6.756)/g2^3 + (2*g2*t^6.766)/g1^11 + (g2^5*t^6.775)/g1^31 + (g1^21*t^6.835)/g2^15 + (2*t^6.853)/(g1^19*g2^7) + t^6.863/(g1^39*g2^3) + t^6.932/(g1^7*g2^19) + g1^2*g2^26*t^7.268 + (2*g2^18*t^7.355)/g1^6 + (3*g2^10*t^7.443)/g1^14 + (g1^18*t^7.513)/g2^6 + t^7.522/(g1^2*g2^2) + (3*g2^2*t^7.531)/g1^22 + (2*g1^10*t^7.601)/g2^14 + t^7.61/(g1^10*g2^10) + (2*t^7.619)/(g1^30*g2^6) + (g1^2*t^7.688)/g2^22 + t^7.698/(g1^18*g2^18) + (2*t^7.707)/(g1^38*g2^14) + (g2^35*t^7.945)/g1 + (2*g2^27*t^8.033)/g1^9 + (g2^19*t^8.121)/g1^17 - (g2^7*t^8.2)/g1^5 + (g2^11*t^8.209)/g1^25 + (g1^27*t^8.269)/g2^9 - (2*g1^7*t^8.278)/g2^5 - t^8.288/(g1^13*g2) + (g2^3*t^8.297)/g1^33 + (3*t^8.375)/(g1^21*g2^9) + t^8.454/(g1^9*g2^21) + (3*t^8.463)/(g1^29*g2^17) + t^8.542/(g1^17*g2^29) + (3*t^8.551)/(g1^37*g2^25) + (g2^44*t^8.623)/g1^4 + g1^8*g2^32*t^8.702 + (g2^36*t^8.711)/g1^12 + g1^20*g2^20*t^8.78 + g2^24*t^8.79 + (2*g2^28*t^8.799)/g1^20 + g1^32*g2^8*t^8.859 + (g2^16*t^8.877)/g1^8 + (2*g2^20*t^8.887)/g1^28 + (g1^44*t^8.938)/g2^4 - 3*g1^4*g2^4*t^8.956 + (2*g2^8*t^8.965)/g1^16 + (g2^12*t^8.975)/g1^36 - t^4.522/(g1^2*g2^2*y) - t^6.81/(g1^15*g2^3*y) + (g1^10*g2^10*t^7.39)/y + (g1^2*g2^2*t^7.478)/y + (g2^6*t^7.487)/(g1^18*y) + t^7.566/(g1^6*g2^6*y) - t^7.654/(g1^14*g2^14*y) + (g2^11*t^8.156)/(g1*y) + (2*g1^11*t^8.234)/(g2*y) + (2*g2^3*t^8.244)/(g1^9*y) + (g1^3*t^8.322)/(g2^9*y) + (3*t^8.332)/(g1^17*g2^5*y) + (2*t^8.41)/(g1^5*g2^17*y) + (2*t^8.419)/(g1^25*g2^13*y) + (g2^20*t^8.834)/(g1^4*y) + (g1^8*g2^8*t^8.912)/y + (2*g2^12*t^8.921)/(g1^12*y) - (t^4.522*y)/(g1^2*g2^2) - (t^6.81*y)/(g1^15*g2^3) + g1^10*g2^10*t^7.39*y + g1^2*g2^2*t^7.478*y + (g2^6*t^7.487*y)/g1^18 + (t^7.566*y)/(g1^6*g2^6) - (t^7.654*y)/(g1^14*g2^14) + (g2^11*t^8.156*y)/g1 + (2*g1^11*t^8.234*y)/g2 + (2*g2^3*t^8.244*y)/g1^9 + (g1^3*t^8.322*y)/g2^9 + (3*t^8.332*y)/(g1^17*g2^5) + (2*t^8.41*y)/(g1^5*g2^17) + (2*t^8.419*y)/(g1^25*g2^13) + (g2^20*t^8.834*y)/g1^4 + g1^8*g2^8*t^8.912*y + (2*g2^12*t^8.921*y)/g1^12

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
2715	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$	0.597	0.7645	0.7809	[M:[0.9486, 1.1541, 0.8459], q:[0.7372, 0.3142], qb:[0.4169, 0.429], phi:[0.5257]]	t^2.193 + t^2.23 + t^2.538 + t^2.846 + t^3.154 + 2*t^3.462 + t^3.499 + t^3.77 + t^3.807 + t^4.078 + t^4.115 + t^4.151 + t^4.387 + t^4.423 + t^4.459 + t^4.731 + t^4.767 + t^5.039 + 2*t^5.076 + t^5.347 + 2*t^5.384 + t^5.655 + 3*t^5.692 + t^5.728 + t^6. - t^4.577/y - t^4.577*y	detail
2716	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6245	0.8105	0.7705	[M:[0.9922, 1.0234, 0.7637, 0.7637], q:[0.748, 0.2598], qb:[0.4883, 0.4883], phi:[0.5039]]	2*t^2.244 + 2*t^2.291 + t^2.977 + t^3.023 + 2*t^3.07 + 2*t^3.756 + 3*t^4.441 + 3*t^4.488 + 4*t^4.535 + 3*t^4.582 + 2*t^5.221 + 4*t^5.268 + 4*t^5.314 + 4*t^5.361 - t^6. - t^4.512/y - t^4.512*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
131	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$	0.5887	0.7456	0.7895	[M:[0.9784, 1.0648], q:[0.7446, 0.277], qb:[0.4676, 0.4676], phi:[0.5108]]	2*t^2.234 + t^2.935 + t^3.065 + 2*t^3.195 + 2*t^3.637 + 2*t^3.766 + 3*t^4.338 + 3*t^4.468 + 2*t^5.169 + 2*t^5.299 + 2*t^5.428 + 4*t^5.87 - t^6. - t^4.532/y - t^4.532*y	detail