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
347	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	0.6335	0.821	0.7716	[M:[1.0, 0.8714, 0.7339, 0.7339], q:[0.7661, 0.2339], qb:[0.5643, 0.5643], phi:[0.4678]]	[M:[[0, 0], [-8, -8], [-5, 3], [3, -5]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{1}\phi_{1}^{2}$	${}$	-5	2*t^2.202 + 2*t^2.395 + t^2.614 + 2*t^2.807 + t^3. + 2*t^3.991 + 3*t^4.404 + 4*t^4.596 + 6*t^4.789 + 2*t^4.816 + 4*t^5.009 + 6*t^5.202 + t^5.228 + 2*t^5.395 + 2*t^5.421 + 4*t^5.614 + t^5.807 - 5*t^6. + 3*t^6.193 + 3*t^6.386 - 2*t^6.412 + 4*t^6.605 + 6*t^6.798 + 10*t^6.991 + 3*t^7.018 + 8*t^7.184 + 6*t^7.211 + 9*t^7.404 + 2*t^7.43 + 11*t^7.596 + 4*t^7.623 + 2*t^7.789 + 8*t^7.816 + t^7.843 + 8*t^8.009 + 2*t^8.035 - 8*t^8.202 + 4*t^8.228 - 8*t^8.395 + 5*t^8.421 - 5*t^8.614 + 8*t^8.78 - 7*t^8.807 - t^4.404/y - (2*t^6.605)/y - t^7.018/y - t^7.211/y + t^7.404/y + (5*t^7.596)/y + (2*t^7.789)/y + (2*t^7.816)/y + (6*t^8.009)/y + (8*t^8.202)/y + (2*t^8.395)/y + (2*t^8.421)/y + (2*t^8.614)/y - t^8.807/y - t^4.404*y - 2*t^6.605*y - t^7.018*y - t^7.211*y + t^7.404*y + 5*t^7.596*y + 2*t^7.789*y + 2*t^7.816*y + 6*t^8.009*y + 8*t^8.202*y + 2*t^8.395*y + 2*t^8.421*y + 2*t^8.614*y - t^8.807*y	(g1^3*t^2.202)/g2^5 + (g2^3*t^2.202)/g1^5 + (g1^7*t^2.395)/g2 + (g2^7*t^2.395)/g1 + t^2.614/(g1^8*g2^8) + (2*t^2.807)/(g1^4*g2^4) + t^3. + g1^9*g2*t^3.991 + g1*g2^9*t^3.991 + (g1^6*t^4.404)/g2^10 + t^4.404/(g1^2*g2^2) + (g2^6*t^4.404)/g1^10 + (g1^10*t^4.596)/g2^6 + 2*g1^2*g2^2*t^4.596 + (g2^10*t^4.596)/g1^6 + (2*g1^14*t^4.789)/g2^2 + 2*g1^6*g2^6*t^4.789 + (2*g2^14*t^4.789)/g1^2 + t^4.816/(g1^5*g2^13) + t^4.816/(g1^13*g2^5) + (2*t^5.009)/(g1*g2^9) + (2*t^5.009)/(g1^9*g2) + (3*g1^3*t^5.202)/g2^5 + (3*g2^3*t^5.202)/g1^5 + t^5.228/(g1^16*g2^16) + (g1^7*t^5.395)/g2 + (g2^7*t^5.395)/g1 + (2*t^5.421)/(g1^12*g2^12) + (4*t^5.614)/(g1^8*g2^8) + t^5.807/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + (g1^12*t^6.193)/g2^4 + g1^4*g2^4*t^6.193 + (g2^12*t^6.193)/g1^4 + g1^16*t^6.386 + g1^8*g2^8*t^6.386 + g2^16*t^6.386 - t^6.412/(g1^3*g2^11) - t^6.412/(g1^11*g2^3) + (g1^9*t^6.605)/g2^15 + (g1*t^6.605)/g2^7 + (g2*t^6.605)/g1^7 + (g2^9*t^6.605)/g1^15 + (g1^13*t^6.798)/g2^11 + (2*g1^5*t^6.798)/g2^3 + (2*g2^5*t^6.798)/g1^3 + (g2^13*t^6.798)/g1^11 + (2*g1^17*t^6.991)/g2^7 + 3*g1^9*g2*t^6.991 + 3*g1*g2^9*t^6.991 + (2*g2^17*t^6.991)/g1^7 + t^7.018/(g1^2*g2^18) + t^7.018/(g1^10*g2^10) + t^7.018/(g1^18*g2^2) + (2*g1^21*t^7.184)/g2^3 + 2*g1^13*g2^5*t^7.184 + 2*g1^5*g2^13*t^7.184 + (2*g2^21*t^7.184)/g1^3 + (2*g1^2*t^7.211)/g2^14 + (2*t^7.211)/(g1^6*g2^6) + (2*g2^2*t^7.211)/g1^14 + (3*g1^6*t^7.404)/g2^10 + (3*t^7.404)/(g1^2*g2^2) + (3*g2^6*t^7.404)/g1^10 + t^7.43/(g1^13*g2^21) + t^7.43/(g1^21*g2^13) + (4*g1^10*t^7.596)/g2^6 + 3*g1^2*g2^2*t^7.596 + (4*g2^10*t^7.596)/g1^6 + (2*t^7.623)/(g1^9*g2^17) + (2*t^7.623)/(g1^17*g2^9) + (g1^14*t^7.789)/g2^2 + (g2^14*t^7.789)/g1^2 + (4*t^7.816)/(g1^5*g2^13) + (4*t^7.816)/(g1^13*g2^5) + t^7.843/(g1^24*g2^24) + (4*t^8.009)/(g1*g2^9) + (4*t^8.009)/(g1^9*g2) + (2*t^8.035)/(g1^20*g2^20) - (g1^11*t^8.202)/g2^13 - (3*g1^3*t^8.202)/g2^5 - (3*g2^3*t^8.202)/g1^5 - (g2^11*t^8.202)/g1^13 + (4*t^8.228)/(g1^16*g2^16) - (4*g1^7*t^8.395)/g2 - (4*g2^7*t^8.395)/g1 + (5*t^8.421)/(g1^12*g2^12) + (g1^19*t^8.588)/g2^5 - g1^11*g2^3*t^8.588 - g1^3*g2^11*t^8.588 + (g2^19*t^8.588)/g1^5 - t^8.614/g1^16 - t^8.614/g2^16 - (3*t^8.614)/(g1^8*g2^8) + (2*g1^23*t^8.78)/g2 + 2*g1^15*g2^7*t^8.78 + 2*g1^7*g2^15*t^8.78 + (2*g2^23*t^8.78)/g1 + (g1^12*t^8.807)/g2^20 - (g1^4*t^8.807)/g2^12 - (7*t^8.807)/(g1^4*g2^4) - (g2^4*t^8.807)/g1^12 + (g2^12*t^8.807)/g1^20 - t^4.404/(g1^2*g2^2*y) - (g1*t^6.605)/(g2^7*y) - (g2*t^6.605)/(g1^7*y) - t^7.018/(g1^10*g2^10*y) - t^7.211/(g1^6*g2^6*y) + t^7.404/(g1^2*g2^2*y) + (g1^10*t^7.596)/(g2^6*y) + (3*g1^2*g2^2*t^7.596)/y + (g2^10*t^7.596)/(g1^6*y) + (2*g1^6*g2^6*t^7.789)/y + t^7.816/(g1^5*g2^13*y) + t^7.816/(g1^13*g2^5*y) + (3*t^8.009)/(g1*g2^9*y) + (3*t^8.009)/(g1^9*g2*y) + (4*g1^3*t^8.202)/(g2^5*y) + (4*g2^3*t^8.202)/(g1^5*y) + (g1^7*t^8.395)/(g2*y) + (g2^7*t^8.395)/(g1*y) + (2*t^8.421)/(g1^12*g2^12*y) + (2*t^8.614)/(g1^8*g2^8*y) - (g1^4*t^8.807)/(g2^12*y) + t^8.807/(g1^4*g2^4*y) - (g2^4*t^8.807)/(g1^12*y) - (t^4.404*y)/(g1^2*g2^2) - (g1*t^6.605*y)/g2^7 - (g2*t^6.605*y)/g1^7 - (t^7.018*y)/(g1^10*g2^10) - (t^7.211*y)/(g1^6*g2^6) + (t^7.404*y)/(g1^2*g2^2) + (g1^10*t^7.596*y)/g2^6 + 3*g1^2*g2^2*t^7.596*y + (g2^10*t^7.596*y)/g1^6 + 2*g1^6*g2^6*t^7.789*y + (t^7.816*y)/(g1^5*g2^13) + (t^7.816*y)/(g1^13*g2^5) + (3*t^8.009*y)/(g1*g2^9) + (3*t^8.009*y)/(g1^9*g2) + (4*g1^3*t^8.202*y)/g2^5 + (4*g2^3*t^8.202*y)/g1^5 + (g1^7*t^8.395*y)/g2 + (g2^7*t^8.395*y)/g1 + (2*t^8.421*y)/(g1^12*g2^12) + (2*t^8.614*y)/(g1^8*g2^8) - (g1^4*t^8.807*y)/g2^12 + (t^8.807*y)/(g1^4*g2^4) - (g2^4*t^8.807*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
550	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$	0.6253	0.8097	0.7722	[M:[1.0, 0.9511, 0.7439, 0.7439, 1.0489], q:[0.7561, 0.2439], qb:[0.5244, 0.5244], phi:[0.4878]]	2*t^2.232 + 2*t^2.305 + 2*t^2.927 + t^3. + t^3.147 + 2*t^3.842 + 3*t^4.463 + 4*t^4.537 + 6*t^4.61 + 2*t^5.158 + 6*t^5.232 + 2*t^5.305 + 2*t^5.378 + 2*t^5.452 + 3*t^5.853 + t^5.927 - 5*t^6. - t^4.463/y - t^4.463*y	detail
1806	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6543	0.8625	0.7586	[M:[1.0, 0.8707, 0.7335, 0.7342, 0.6689], q:[0.7662, 0.2338], qb:[0.565, 0.5643], phi:[0.4677]]	t^2.007 + t^2.201 + t^2.203 + t^2.394 + t^2.396 + t^2.612 + 2*t^2.806 + t^3. + t^3.991 + t^4.013 + t^4.207 + t^4.209 + 2*t^4.401 + 2*t^4.403 + t^4.405 + t^4.595 + 2*t^4.597 + t^4.599 + t^4.619 + 2*t^4.789 + 2*t^4.791 + 2*t^4.793 + 3*t^4.813 + t^4.815 + 3*t^5.007 + 2*t^5.009 + 3*t^5.201 + 3*t^5.203 + t^5.224 + t^5.394 + t^5.396 + 2*t^5.418 + 4*t^5.612 + t^5.806 - 3*t^6. - t^4.403/y - t^4.403*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
217	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$	0.614	0.7856	0.7817	[M:[1.0, 0.8753, 0.7244], q:[0.7656, 0.2344], qb:[0.5724, 0.5523], phi:[0.4688]]	t^2.173 + t^2.36 + t^2.42 + t^2.626 + 2*t^2.813 + t^3. + t^3.767 + t^3.954 + t^4.014 + t^4.346 + t^4.533 + t^4.593 + 2*t^4.72 + 2*t^4.78 + t^4.799 + 2*t^4.841 + 2*t^4.986 + 3*t^5.173 + 2*t^5.233 + t^5.252 + t^5.36 + t^5.42 + 2*t^5.439 + 4*t^5.626 + t^5.813 - 3*t^6. - t^4.407/y - t^4.407*y	detail