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
3663	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.5958	0.764	0.7799	[M:[0.9557, 1.1329, 1.0443, 0.8671, 1.1329, 0.7879], q:[0.7389, 0.3054], qb:[0.394, 0.4732], phi:[0.5221]]	[M:[[4], [-12], [-4], [12], [-12], [-26]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$	${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	-2	t^2.098 + t^2.336 + t^2.364 + 2*t^3.133 + 3*t^3.399 + t^3.664 + t^3.902 + t^3.93 + t^4.168 + t^4.196 + t^4.405 + t^4.434 + t^4.462 + t^4.671 + t^4.699 + t^4.728 + 2*t^5.231 + 2*t^5.468 + 4*t^5.497 + t^5.734 + 3*t^5.762 - 2*t^6. + 2*t^6.028 + 2*t^6.266 + 2*t^6.294 + 6*t^6.532 + t^6.56 + t^6.741 + 6*t^6.797 + t^6.826 + t^7.007 + 4*t^7.063 + t^7.091 - t^7.272 + t^7.301 + 4*t^7.329 + t^7.538 + t^7.566 + 5*t^7.595 + 3*t^7.804 + t^7.832 + 5*t^7.86 - t^8.098 + 4*t^8.126 + t^8.307 - 2*t^8.336 - t^8.364 + 3*t^8.392 + t^8.573 + 5*t^8.63 + 2*t^8.658 + t^8.811 + 7*t^8.895 + t^8.924 - t^4.566/y - t^6.93/y + t^7.168/y + (2*t^7.434)/y + t^7.462/y - t^7.965/y + t^8.203/y + (2*t^8.231)/y + (2*t^8.468)/y + (5*t^8.497)/y + (3*t^8.734)/y + (4*t^8.762)/y - t^4.566*y - t^6.93*y + t^7.168*y + 2*t^7.434*y + t^7.462*y - t^7.965*y + t^8.203*y + 2*t^8.231*y + 2*t^8.468*y + 5*t^8.497*y + 3*t^8.734*y + 4*t^8.762*y	t^2.098/g1^18 + g1^20*t^2.336 + t^2.364/g1^26 + (2*t^3.133)/g1^4 + (3*t^3.399)/g1^12 + t^3.664/g1^20 + g1^18*t^3.902 + t^3.93/g1^28 + g1^10*t^4.168 + t^4.196/g1^36 + g1^48*t^4.405 + g1^2*t^4.434 + t^4.462/g1^44 + g1^40*t^4.671 + t^4.699/g1^6 + t^4.728/g1^52 + (2*t^5.231)/g1^22 + 2*g1^16*t^5.468 + (4*t^5.497)/g1^30 + g1^8*t^5.734 + (3*t^5.762)/g1^38 - 2*t^6. + (2*t^6.028)/g1^46 + (2*t^6.266)/g1^8 + (2*t^6.294)/g1^54 + (6*t^6.532)/g1^16 + t^6.56/g1^62 + g1^68*t^6.741 + (6*t^6.797)/g1^24 + t^6.826/g1^70 + g1^60*t^7.007 + (4*t^7.063)/g1^32 + t^7.091/g1^78 - g1^52*t^7.272 + g1^6*t^7.301 + (4*t^7.329)/g1^40 + g1^44*t^7.538 + t^7.566/g1^2 + (5*t^7.595)/g1^48 + 3*g1^36*t^7.804 + t^7.832/g1^10 + (5*t^7.86)/g1^56 - t^8.098/g1^18 + (4*t^8.126)/g1^64 + g1^66*t^8.307 - 2*g1^20*t^8.336 - t^8.364/g1^26 + (3*t^8.392)/g1^72 + g1^58*t^8.573 + (5*t^8.63)/g1^34 + (2*t^8.658)/g1^80 + g1^96*t^8.811 + (7*t^8.895)/g1^42 + t^8.924/g1^88 - t^4.566/(g1^2*y) - t^6.93/(g1^28*y) + (g1^10*t^7.168)/y + (2*g1^2*t^7.434)/y + t^7.462/(g1^44*y) - t^7.965/(g1^14*y) + (g1^24*t^8.203)/y + (2*t^8.231)/(g1^22*y) + (2*g1^16*t^8.468)/y + (5*t^8.497)/(g1^30*y) + (3*g1^8*t^8.734)/y + (4*t^8.762)/(g1^38*y) - (t^4.566*y)/g1^2 - (t^6.93*y)/g1^28 + g1^10*t^7.168*y + 2*g1^2*t^7.434*y + (t^7.462*y)/g1^44 - (t^7.965*y)/g1^14 + g1^24*t^8.203*y + (2*t^8.231*y)/g1^22 + 2*g1^16*t^8.468*y + (5*t^8.497*y)/g1^30 + 3*g1^8*t^8.734*y + (4*t^8.762*y)/g1^38

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
3932	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$	0.6138	0.7955	0.7716	[M:[0.9535, 1.1395, 1.0465, 0.8605, 1.1395, 0.8023, 0.7675], q:[0.7384, 0.3081], qb:[0.4012, 0.4593], phi:[0.5233]]	t^2.128 + 2*t^2.302 + t^2.407 + 2*t^3.14 + 3*t^3.419 + t^3.872 + t^3.977 + t^4.151 + t^4.256 + t^4.326 + 2*t^4.43 + t^4.535 + 3*t^4.605 + 2*t^4.709 + t^4.814 + 2*t^5.267 + 4*t^5.442 + 4*t^5.546 + 4*t^5.721 + 2*t^5.826 - 3*t^6. - t^4.57/y - t^4.57*y	detail
3933	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	0.6166	0.8041	0.7668	[M:[0.955, 1.1349, 1.045, 0.8651, 1.1349, 0.7922, 0.6853], q:[0.7388, 0.3062], qb:[0.3961, 0.469], phi:[0.5225]]	t^2.056 + t^2.107 + t^2.326 + t^2.377 + 2*t^3.135 + 3*t^3.405 + t^3.674 + t^3.893 + t^4.112 + 2*t^4.163 + t^4.214 + 2*t^4.382 + 2*t^4.433 + t^4.483 + t^4.651 + t^4.702 + t^4.753 + 2*t^5.191 + 2*t^5.242 + 5*t^5.461 + 4*t^5.511 + 2*t^5.73 + 3*t^5.781 + t^5.949 - 2*t^6. - t^4.567/y - t^4.567*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
3241	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$	0.5793	0.7341	0.7892	[M:[0.9519, 1.1444, 1.0481, 0.8556, 1.1444], q:[0.738, 0.3102], qb:[0.4064, 0.4492], phi:[0.5241]]	t^2.15 + t^2.278 + 2*t^3.144 + 3*t^3.433 + t^3.561 + t^3.722 + t^3.85 + t^4.011 + t^4.139 + t^4.267 + t^4.299 + t^4.428 + t^4.556 + 2*t^5.294 + 2*t^5.422 + 2*t^5.583 + 2*t^5.711 + t^5.84 - 2*t^6. - t^4.572/y - t^4.572*y	detail