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
79445	SO5a2nf1	${}A_{2}^{2}$ + ${ }A_{1}^{2}X_{1}$	1.1741	1.206	0.9736	[X:[1.5686], M:[], q:[0.3528], qb:[], phi:[], S:[], Sb:[], A:[0.2157, 1.0], Ab:[]]	[X:[[2]], M:[], q:[[3]], qb:[], phi:[], S:[], Sb:[], A:[[-1], [0]], Ab:[]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}^{2}$, ${ }A_{1}^{2}q_{1}$, ${ }A_{1}^{4}$, ${ }A_{1}^{2}q_{1}^{2}$, ${ }q_{1}^{4}$, ${ }A_{1}^{2}q_{1}^{3}$, ${ }A_{1}^{4}q_{1}^{2}$, ${ }X_{1}$, ${ }A_{1}^{6}q_{1}$, ${ }A_{1}^{8}$, ${ }A_{1}^{2}q_{1}^{4}$, ${ }A_{1}^{4}q_{1}^{3}$	${}A_{1}^{6}q_{1}^{2}$	0	t^2.117 + t^2.353 + t^2.589 + t^3.411 + t^4.234 + t^4.47 + 3*t^4.706 + t^4.941 + t^5.177 + t^5.528 + t^5.764 - t^6.236 + t^6.351 + t^6.587 + 4*t^6.823 + 3*t^7.059 + 3*t^7.294 + t^7.53 + t^7.645 + t^7.766 + t^7.881 + t^8.117 + t^8.468 + t^8.704 - 2*t^8.764 - t^8.824 + 4*t^8.94 + t^8.353/y^2 + t^8.589/y^2 - t^8.764/y^2 - t^3.647/y - t^4.706/y - t^4.941/y - t^5.764/y - t^6./y - t^6.236/y - t^6.823/y - (2*t^7.059)/y - t^7.294/y + t^7.47/y - t^7.53/y + t^7.706/y - t^7.881/y + t^7.941/y - (2*t^8.117)/y - (2*t^8.353)/y + t^8.528/y + t^8.764/y - t^8.824/y - t^8.94/y - t^3.647*y - t^4.706*y - t^4.941*y - t^5.764*y - t^6.*y - t^6.236*y - t^6.823*y - 2*t^7.059*y - t^7.294*y + t^7.47*y - t^7.53*y + t^7.706*y - t^7.881*y + t^7.941*y - 2*t^8.117*y - 2*t^8.353*y + t^8.528*y + t^8.764*y - t^8.824*y - t^8.94*y + t^8.353*y^2 + t^8.589*y^2 - t^8.764*y^2	g1^6*t^2.117 + g1*t^2.353 + t^2.589/g1^4 + g1^4*t^3.411 + g1^12*t^4.234 + g1^7*t^4.47 + 3*g1^2*t^4.706 + t^4.941/g1^3 + t^5.177/g1^8 + g1^10*t^5.528 + g1^5*t^5.764 - t^6.236/g1^5 + g1^18*t^6.351 + g1^13*t^6.587 + 4*g1^8*t^6.823 + 3*g1^3*t^7.059 + (3*t^7.294)/g1^2 + t^7.53/g1^7 + g1^16*t^7.645 + t^7.766/g1^12 + g1^11*t^7.881 + g1^6*t^8.117 + g1^24*t^8.468 + g1^19*t^8.704 - 2*g1^5*t^8.764 - t^8.824/g1^9 + 4*g1^14*t^8.94 + (g1*t^8.353)/y^2 + t^8.589/(g1^4*y^2) - (g1^5*t^8.764)/y^2 - t^3.647/(g1*y) - (g1^2*t^4.706)/y - t^4.941/(g1^3*y) - (g1^5*t^5.764)/y - t^6./y - t^6.236/(g1^5*y) - (g1^8*t^6.823)/y - (2*g1^3*t^7.059)/y - t^7.294/(g1^2*y) + (g1^7*t^7.47)/y - t^7.53/(g1^7*y) + (g1^2*t^7.706)/y - (g1^11*t^7.881)/y + t^7.941/(g1^3*y) - (2*g1^6*t^8.117)/y - (2*g1*t^8.353)/y + (g1^10*t^8.528)/y + (g1^5*t^8.764)/y - t^8.824/(g1^9*y) - (g1^14*t^8.94)/y - (t^3.647*y)/g1 - g1^2*t^4.706*y - (t^4.941*y)/g1^3 - g1^5*t^5.764*y - t^6.*y - (t^6.236*y)/g1^5 - g1^8*t^6.823*y - 2*g1^3*t^7.059*y - (t^7.294*y)/g1^2 + g1^7*t^7.47*y - (t^7.53*y)/g1^7 + g1^2*t^7.706*y - g1^11*t^7.881*y + (t^7.941*y)/g1^3 - 2*g1^6*t^8.117*y - 2*g1*t^8.353*y + g1^10*t^8.528*y + g1^5*t^8.764*y - (t^8.824*y)/g1^9 - g1^14*t^8.94*y + g1*t^8.353*y^2 + (t^8.589*y^2)/g1^4 - g1^5*t^8.764*y^2

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
79454	${}A_{2}^{2}$ + ${ }A_{1}^{2}X_{1}$ + ${ }A_{1}^{2}M_{1}q_{1}$	1.1567	1.1748	0.9846	[X:[1.5704], M:[1.2148], q:[0.3557], qb:[], phi:[], S:[], Sb:[], A:[0.2148, 1.0], Ab:[]]	t^2.134 + t^2.577 + t^3.423 + t^3.644 + t^4.268 + 2*t^4.711 + t^5.155 + t^5.557 + t^5.778 - t^3.644/y - t^4.711/y - t^4.933/y - t^5.778/y - t^3.644*y - t^4.711*y - t^4.933*y - t^5.778*y	detail
79463	${}A_{2}^{2}$ + ${ }A_{1}^{2}X_{1}$ + ${ }A_{1}^{2}M_{1}q_{1}^{2}$	1.187	1.2265	0.9678	[X:[1.5786], M:[0.8428], q:[0.3679], qb:[], phi:[], S:[], Sb:[], A:[0.2107, 1.0], Ab:[]]	t^2.208 + t^2.368 + 2*t^2.528 + t^4.415 + t^4.575 + 4*t^4.736 + 2*t^4.896 + 3*t^5.057 - t^6. - t^3.632/y - t^4.736/y - t^4.896/y - t^5.84/y - t^6./y - t^3.632*y - t^4.736*y - t^4.896*y - t^5.84*y - t^6.*y	detail
79457	${}A_{2}^{2}$ + ${ }A_{1}^{2}X_{1}$ + ${ }A_{1}^{4}M_{1}$	1.1628	1.19	0.9772	[X:[1.5574], M:[1.1148], q:[0.3361], qb:[], phi:[], S:[], Sb:[], A:[0.2213, 1.0], Ab:[]]	t^2.016 + t^2.336 + 2*t^3.344 + t^4.033 + t^4.353 + 2*t^4.672 + 2*t^5.361 + 2*t^5.68 - t^6. - t^3.664/y - t^4.672/y - t^4.992/y - t^5.68/y - t^6./y - t^3.664*y - t^4.672*y - t^4.992*y - t^5.68*y - t^6.*y	detail
79459	${}A_{2}^{2}$ + ${ }A_{1}^{2}X_{1}$ + ${ }A_{1}^{4}q_{1}^{3}$	1.167	1.192	0.979	[X:[1.6], M:[], q:[0.4], qb:[], phi:[], S:[], Sb:[], A:[0.2, 1.0], Ab:[]]	3*t^2.4 + t^3.6 + 7*t^4.8 + t^6. - t^3.6/y - (2*t^4.8)/y - (3*t^6.)/y - t^3.6*y - 2*t^4.8*y - 3*t^6.*y	detail	{a: 1167/1000, c: 149/125, X1: 8/5, q1: 2/5, A1: 1/5, A2: 1}
79462	${}A_{2}^{2}$ + ${ }A_{1}^{2}X_{1}$ + ${ }A_{1}^{8}$ + ${ }q_{1}^{2}X_{2}$	1.1265	1.1421	0.9863	[X:[1.5, 1.5], M:[], q:[0.25], qb:[], phi:[], S:[], Sb:[], A:[0.25, 1.0], Ab:[]]	t^2.25 + 2*t^3. + 3*t^4.5 + 2*t^5.25 + 2*t^6. - t^3.75/y - t^4.5/y - t^5.25/y - t^6./y - t^3.75*y - t^4.5*y - t^5.25*y - t^6.*y	detail	{a: 2307/2048, c: 2339/2048, X1: 3/2, X2: 3/2, q1: 1/4, A1: 1/4, A2: 1}
79461	${}A_{2}^{2}$ + ${ }A_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}^{2}$	1.1539	1.1671	0.9886	[X:[1.5746], M:[1.2761], q:[0.3619], qb:[], phi:[], S:[], Sb:[], A:[0.2127, 1.0], Ab:[]]	t^2.362 + t^2.552 + t^3.448 + t^3.828 + 2*t^4.724 + t^4.914 + t^5.104 + t^5.81 - t^3.638/y - t^4.724/y - t^4.914/y - t^6./y - t^3.638*y - t^4.724*y - t^4.914*y - t^6.*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
79439	SO5a2nf1	${}$	2.3273	2.3692	0.9823	[X:[], M:[], q:[0.5975], qb:[], phi:[], S:[], Sb:[], A:[0.5671, 0.5671], Ab:[]]	3*t^3.402 + t^3.585 + 3*t^5.195 - 4*t^6. - (2*t^4.701)/y - 2*t^4.701*y	detail