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
345	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$	0.6019	0.7721	0.7795	[M:[0.9502, 1.1494, 0.9502, 0.8506], q:[0.7376, 0.3122], qb:[0.4253, 0.4253], phi:[0.5249]]	[M:[[4, 4], [-12, -12], [4, 4], [12, 12]], 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
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	-1	2*t^2.213 + t^2.552 + 2*t^2.851 + t^3.448 + 2*t^3.489 + 2*t^3.787 + 3*t^4.127 + 3*t^4.425 + 2*t^4.764 + 4*t^5.063 + t^5.104 + 2*t^5.402 + 6*t^5.701 - t^6. + 2*t^6.04 + 8*t^6.339 + 4*t^6.638 + 3*t^6.678 + t^6.896 - 2*t^6.937 + 9*t^6.977 + 5*t^7.276 + 2*t^7.316 - 2*t^7.575 + 8*t^7.615 + t^7.655 - t^7.873 + 10*t^7.914 + 2*t^7.954 - 6*t^8.213 + 11*t^8.253 - 4*t^8.511 + 10*t^8.552 + 2*t^8.592 - 6*t^8.851 + 8*t^8.891 - t^4.575/y + t^7.724/y + (2*t^7.764)/y + (4*t^8.063)/y + (2*t^8.402)/y + (2*t^8.661)/y + (5*t^8.701)/y - t^4.575*y + t^7.724*y + 2*t^7.764*y + 4*t^8.063*y + 2*t^8.402*y + 2*t^8.661*y + 5*t^8.701*y	(g1^7*t^2.213)/g2^5 + (g2^7*t^2.213)/g1^5 + g1^12*g2^12*t^2.552 + 2*g1^4*g2^4*t^2.851 + t^3.448/(g1^12*g2^12) + g1^13*g2*t^3.489 + g1*g2^13*t^3.489 + (g1^5*t^3.787)/g2^7 + (g2^5*t^3.787)/g1^7 + (g1^22*t^4.127)/g2^2 + g1^10*g2^10*t^4.127 + (g2^22*t^4.127)/g1^2 + (g1^14*t^4.425)/g2^10 + g1^2*g2^2*t^4.425 + (g2^14*t^4.425)/g1^10 + g1^19*g2^7*t^4.764 + g1^7*g2^19*t^4.764 + (2*g1^11*t^5.063)/g2 + (2*g2^11*t^5.063)/g1 + g1^24*g2^24*t^5.104 + 2*g1^16*g2^16*t^5.402 + (g1^20*t^5.701)/g2^4 + 4*g1^8*g2^8*t^5.701 + (g2^20*t^5.701)/g1^4 - t^6. + g1^25*g2^13*t^6.04 + g1^13*g2^25*t^6.04 + (g1^29*t^6.339)/g2^7 + 3*g1^17*g2^5*t^6.339 + 3*g1^5*g2^17*t^6.339 + (g2^29*t^6.339)/g1^7 + (g1^21*t^6.638)/g2^15 + (g1^9*t^6.638)/g2^3 + (g2^9*t^6.638)/g1^3 + (g2^21*t^6.638)/g1^15 + g1^34*g2^10*t^6.678 + g1^22*g2^22*t^6.678 + g1^10*g2^34*t^6.678 + t^6.896/(g1^24*g2^24) - (g1*t^6.937)/g2^11 - (g2*t^6.937)/g1^11 + 3*g1^26*g2^2*t^6.977 + 3*g1^14*g2^14*t^6.977 + 3*g1^2*g2^26*t^6.977 + (2*g1^18*t^7.276)/g2^6 + g1^6*g2^6*t^7.276 + (2*g2^18*t^7.276)/g1^6 + g1^31*g2^19*t^7.316 + g1^19*g2^31*t^7.316 - (2*t^7.575)/(g1^2*g2^2) + (g1^35*t^7.615)/g2 + 3*g1^23*g2^11*t^7.615 + 3*g1^11*g2^23*t^7.615 + (g2^35*t^7.615)/g1 + g1^36*g2^36*t^7.655 - t^7.873/(g1^10*g2^10) + (2*g1^27*t^7.914)/g2^9 + 3*g1^15*g2^3*t^7.914 + 3*g1^3*g2^15*t^7.914 + (2*g2^27*t^7.914)/g1^9 + 2*g1^28*g2^28*t^7.954 - (3*g1^7*t^8.213)/g2^5 - (3*g2^7*t^8.213)/g1^5 + (g1^44*t^8.253)/g2^4 + 2*g1^32*g2^8*t^8.253 + 5*g1^20*g2^20*t^8.253 + 2*g1^8*g2^32*t^8.253 + (g2^44*t^8.253)/g1^4 - (2*t^8.511)/(g1*g2^13) - (2*t^8.511)/(g1^13*g2) + 2*g1^24*t^8.552 + (g1^36*t^8.552)/g2^12 + 4*g1^12*g2^12*t^8.552 + 2*g2^24*t^8.552 + (g2^36*t^8.552)/g1^12 + g1^37*g2^25*t^8.592 + g1^25*g2^37*t^8.592 + (g1^28*t^8.851)/g2^20 - (g1^16*t^8.851)/g2^8 - 6*g1^4*g2^4*t^8.851 - (g2^16*t^8.851)/g1^8 + (g2^28*t^8.851)/g1^20 + g1^41*g2^5*t^8.891 + 3*g1^29*g2^17*t^8.891 + 3*g1^17*g2^29*t^8.891 + g1^5*g2^41*t^8.891 - t^4.575/(g1^2*g2^2*y) + t^7.724/(g1^6*g2^6*y) + (g1^19*g2^7*t^7.764)/y + (g1^7*g2^19*t^7.764)/y + (2*g1^11*t^8.063)/(g2*y) + (2*g2^11*t^8.063)/(g1*y) + (2*g1^16*g2^16*t^8.402)/y + t^8.661/(g1^5*g2^17*y) + t^8.661/(g1^17*g2^5*y) + (g1^20*t^8.701)/(g2^4*y) + (3*g1^8*g2^8*t^8.701)/y + (g2^20*t^8.701)/(g1^4*y) - (t^4.575*y)/(g1^2*g2^2) + (t^7.724*y)/(g1^6*g2^6) + g1^19*g2^7*t^7.764*y + g1^7*g2^19*t^7.764*y + (2*g1^11*t^8.063*y)/g2 + (2*g2^11*t^8.063*y)/g1 + 2*g1^16*g2^16*t^8.402*y + (t^8.661*y)/(g1^5*g2^17) + (t^8.661*y)/(g1^17*g2^5) + (g1^20*t^8.701*y)/g2^4 + 3*g1^8*g2^8*t^8.701*y + (g2^20*t^8.701*y)/g1^4

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
545	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$	0.6216	0.8089	0.7684	[M:[0.9496, 1.1511, 0.9496, 0.8489, 0.7292], q:[0.7374, 0.313], qb:[0.4326, 0.4162], phi:[0.5252]]	2*t^2.188 + t^2.237 + t^2.547 + 2*t^2.849 + t^3.453 + t^3.461 + t^3.51 + t^3.763 + t^4.073 + t^4.122 + t^4.171 + 3*t^4.375 + 2*t^4.424 + t^4.474 + 2*t^4.734 + t^4.783 + 4*t^5.036 + 2*t^5.086 + t^5.093 + 2*t^5.395 + t^5.641 + 2*t^5.649 + 5*t^5.698 + t^5.747 + t^5.951 - 2*t^6. - t^4.576/y - t^4.576*y	detail
1783	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.617	0.7971	0.7742	[M:[0.9586, 1.1242, 0.9586, 0.8758, 0.8061], q:[0.7396, 0.3018], qb:[0.4542, 0.4215], phi:[0.5207]]	t^2.17 + t^2.268 + t^2.418 + t^2.627 + 2*t^2.876 + t^3.373 + t^3.484 + t^3.732 + t^3.83 + t^4.091 + t^4.189 + t^4.288 + t^4.34 + t^4.438 + t^4.536 + t^4.588 + t^4.686 + t^4.797 + t^4.837 + t^4.895 + 3*t^5.046 + 2*t^5.144 + t^5.255 + 2*t^5.294 + 2*t^5.503 + t^5.653 + 3*t^5.752 + t^5.791 + t^5.902 - t^6. - t^4.562/y - t^4.562*y	detail
1784	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	0.5983	0.7653	0.7818	[M:[0.9618, 1.1147, 0.9618, 0.8853], q:[0.7404, 0.2978], qb:[0.4809, 0.4044], phi:[0.5191]]	t^2.107 + t^2.336 + t^2.656 + 2*t^2.885 + t^3.344 + t^3.435 + 2*t^3.664 + t^3.893 + t^3.984 + 2*t^4.213 + 2*t^4.443 + t^4.672 + t^4.763 + 3*t^4.992 + 2*t^5.221 + t^5.312 + 3*t^5.541 + 4*t^5.771 - t^4.557/y - t^4.557*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
216	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$	0.5911	0.7501	0.788	[M:[0.9703, 1.0891, 0.9703], q:[0.7426, 0.2871], qb:[0.4555, 0.4555], phi:[0.5148]]	2*t^2.228 + 2*t^2.911 + 2*t^3.267 + 2*t^3.594 + 2*t^3.772 + 3*t^4.277 + 3*t^4.455 + 4*t^5.139 + 2*t^5.495 + 6*t^5.822 - 2*t^6. - t^4.545/y - t^4.545*y	detail