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
46005	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$	0.5615	0.7218	0.7778	[M:[0.7365, 1.1317, 0.7365], q:[0.2829, 0.9805], qb:[0.5853, 0.4147], phi:[0.4341]]	[M:[[9, 1], [-2, 2], [-1, -9]], q:[[-3, -2], [-6, 1]], qb:[[5, 0], [0, 5]], phi:[[1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}^{2}q_{1}^{4}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	1	t^2.093 + 2*t^2.21 + t^2.605 + 2*t^3. + 2*t^3.395 + 2*t^4.186 + 2*t^4.302 + 3*t^4.419 + 2*t^4.698 + 2*t^4.814 + 2*t^5.093 + 4*t^5.21 + 2*t^5.488 + 4*t^5.605 + t^6. + 2*t^6.278 + 4*t^6.395 + 2*t^6.512 + 4*t^6.629 + 2*t^6.79 + 2*t^6.907 + 3*t^7.024 + 2*t^7.186 + 2*t^7.302 + 6*t^7.419 + 3*t^7.581 + 2*t^7.698 + 6*t^7.814 + 3*t^8.371 + 2*t^8.488 + 3*t^8.605 + 2*t^8.722 + 5*t^8.838 + 2*t^8.883 - t^4.302/y - (2*t^6.512)/y + (2*t^7.302)/y + t^7.419/y + t^7.698/y + (2*t^7.814)/y + (4*t^8.093)/y + (4*t^8.21)/y + (2*t^8.488)/y + (6*t^8.605)/y - (3*t^8.722)/y - t^4.302*y - 2*t^6.512*y + 2*t^7.302*y + t^7.419*y + t^7.698*y + 2*t^7.814*y + 4*t^8.093*y + 4*t^8.21*y + 2*t^8.488*y + 6*t^8.605*y - 3*t^8.722*y	(g2^3*t^2.093)/g1^3 + t^2.21/(g1*g2^9) + g1^9*g2*t^2.21 + (g1^2*t^2.605)/g2^2 + t^3./(g1^5*g2^5) + g1^5*g2^5*t^3. + (2*g2^2*t^3.395)/g1^2 + (2*g2^6*t^4.186)/g1^6 + t^4.302/(g1^4*g2^6) + g1^6*g2^4*t^4.302 + t^4.419/(g1^2*g2^18) + (g1^8*t^4.419)/g2^8 + g1^18*g2^2*t^4.419 + (2*g2*t^4.698)/g1 + (g1*t^4.814)/g2^11 + (g1^11*t^4.814)/g2 + t^5.093/(g1^8*g2^2) + g1^2*g2^8*t^5.093 + t^5.21/(g1^6*g2^14) + (2*g1^4*t^5.21)/g2^4 + g1^14*g2^6*t^5.21 + (2*g2^5*t^5.488)/g1^5 + (2*t^5.605)/(g1^3*g2^7) + 2*g1^7*g2^3*t^5.605 - t^6. + t^6./(g1^10*g2^10) + g1^10*g2^10*t^6. + (2*g2^9*t^6.278)/g1^9 + (2*t^6.395)/(g1^7*g2^3) + 2*g1^3*g2^7*t^6.395 + t^6.512/(g1^5*g2^15) + g1^15*g2^5*t^6.512 + t^6.629/(g1^3*g2^27) + (g1^7*t^6.629)/g2^17 + (g1^17*t^6.629)/g2^7 + g1^27*g2^3*t^6.629 + (2*g2^4*t^6.79)/g1^4 + t^6.907/(g1^2*g2^8) + g1^8*g2^2*t^6.907 + g1^20*t^7.024 + t^7.024/g2^20 + (g1^10*t^7.024)/g2^10 + (g2*t^7.186)/g1^11 + (g2^11*t^7.186)/g1 + t^7.302/(g1^9*g2^11) + g1^11*g2^9*t^7.302 + t^7.419/(g1^7*g2^23) + (2*g1^3*t^7.419)/g2^13 + (2*g1^13*t^7.419)/g2^3 + g1^23*g2^7*t^7.419 + (3*g2^8*t^7.581)/g1^8 + t^7.698/(g1^6*g2^4) + g1^4*g2^6*t^7.698 + (2*t^7.814)/(g1^4*g2^16) + (2*g1^6*t^7.814)/g2^6 + 2*g1^16*g2^4*t^7.814 + t^8.093/(g1^13*g2^7) - (2*g2^3*t^8.093)/g1^3 + g1^7*g2^13*t^8.093 + t^8.21/(g1^11*g2^19) - t^8.21/(g1*g2^9) - g1^9*g2*t^8.21 + g1^19*g2^11*t^8.21 + (3*g2^12*t^8.371)/g1^12 + t^8.488/g1^10 + g2^10*t^8.488 + (2*t^8.605)/(g1^8*g2^12) - (g1^2*t^8.605)/g2^2 + 2*g1^12*g2^8*t^8.605 + t^8.722/(g1^6*g2^24) + g1^24*g2^6*t^8.722 + t^8.838/(g1^4*g2^36) + (g1^6*t^8.838)/g2^26 + (g1^16*t^8.838)/g2^16 + (g1^26*t^8.838)/g2^6 + g1^36*g2^4*t^8.838 + (2*g2^7*t^8.883)/g1^7 - (g1*t^4.302)/(g2*y) - (g1^10*t^6.512)/y - t^6.512/(g2^10*y) + t^7.302/(g1^4*g2^6*y) + (g1^6*g2^4*t^7.302)/y + (g1^8*t^7.419)/(g2^8*y) + (g2*t^7.698)/(g1*y) + (g1*t^7.814)/(g2^11*y) + (g1^11*t^7.814)/(g2*y) + (2*t^8.093)/(g1^8*g2^2*y) + (2*g1^2*g2^8*t^8.093)/y + t^8.21/(g1^6*g2^14*y) + (2*g1^4*t^8.21)/(g2^4*y) + (g1^14*g2^6*t^8.21)/y + (2*g2^5*t^8.488)/(g1^5*y) + (3*t^8.605)/(g1^3*g2^7*y) + (3*g1^7*g2^3*t^8.605)/y - t^8.722/(g1*g2^19*y) - (g1^9*t^8.722)/(g2^9*y) - (g1^19*g2*t^8.722)/y - (g1*t^4.302*y)/g2 - g1^10*t^6.512*y - (t^6.512*y)/g2^10 + (t^7.302*y)/(g1^4*g2^6) + g1^6*g2^4*t^7.302*y + (g1^8*t^7.419*y)/g2^8 + (g2*t^7.698*y)/g1 + (g1*t^7.814*y)/g2^11 + (g1^11*t^7.814*y)/g2 + (2*t^8.093*y)/(g1^8*g2^2) + 2*g1^2*g2^8*t^8.093*y + (t^8.21*y)/(g1^6*g2^14) + (2*g1^4*t^8.21*y)/g2^4 + g1^14*g2^6*t^8.21*y + (2*g2^5*t^8.488*y)/g1^5 + (3*t^8.605*y)/(g1^3*g2^7) + 3*g1^7*g2^3*t^8.605*y - (t^8.722*y)/(g1*g2^19) - (g1^9*t^8.722*y)/g2^9 - g1^19*g2*t^8.722*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
46158	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$	0.5633	0.7261	0.7758	[M:[0.698, 1.1313, 0.7766, 0.9607], q:[0.3025, 0.9995], qb:[0.5662, 0.3945], phi:[0.4343]]	t^2.091 + t^2.094 + t^2.33 + t^2.606 + 2*t^2.882 + 2*t^3.394 + 2*t^4.182 + t^4.185 + t^4.188 + t^4.421 + t^4.424 + t^4.66 + 2*t^4.697 + t^4.7 + t^4.936 + 2*t^4.973 + 2*t^4.976 + 2*t^5.212 + 2*t^5.485 + 3*t^5.488 + t^5.724 + 3*t^5.764 - 2*t^6. - t^4.303/y - t^4.303*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
45888	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$	0.5427	0.6891	0.7875	[M:[0.7357, 1.1204], q:[0.2918, 0.9724], qb:[0.5878, 0.3888], phi:[0.4398]]	t^2.042 + t^2.207 + t^2.639 + t^2.93 + t^3.07 + 2*t^3.361 + t^3.652 + 2*t^4.084 + t^4.249 + t^4.414 + 2*t^4.681 + t^4.846 + t^4.971 + t^5.112 + t^5.137 + t^5.278 + 2*t^5.403 + 2*t^5.568 + t^5.694 + 2*t^5.859 - t^6. - t^4.319/y - t^4.319*y	detail