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
50979	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6534	0.8169	0.7999	[M:[1.1525, 0.7287, 0.8475, 0.8079, 0.8475, 1.1921, 0.7287], q:[0.404, 0.4436], qb:[0.8673, 0.7485], phi:[0.3842]]	[M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [3, 3], [6, 8], [-11, -13]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}q_{2}$, ${ }M_{6}\phi_{1}^{2}$	${}\phi_{1}^{3}q_{1}q_{2}$	-2	2*t^2.186 + t^2.305 + 2*t^2.543 + 2*t^3.576 + t^3.695 + t^3.933 + 3*t^4.372 + 2*t^4.491 + t^4.61 + 4*t^4.729 + 3*t^4.848 + 3*t^5.085 + 3*t^5.762 + 2*t^5.881 - 2*t^6. + 4*t^6.119 + 2*t^6.238 + 2*t^6.475 + 4*t^6.559 + 3*t^6.677 + 2*t^6.796 + 6*t^6.915 + 4*t^7.034 + 3*t^7.152 + 4*t^7.271 + 2*t^7.39 + 4*t^7.628 + t^7.865 + 4*t^7.949 + 2*t^8.067 - 4*t^8.186 + 3*t^8.305 + 2*t^8.424 - 5*t^8.543 + 4*t^8.661 + 5*t^8.745 + 3*t^8.78 + 4*t^8.864 + 3*t^8.982 - t^4.152/y - (2*t^6.339)/y - t^6.457/y - t^6.695/y + t^7.372/y + (2*t^7.491)/y + t^7.61/y + (4*t^7.729)/y + (3*t^7.848)/y + (2*t^7.966)/y + t^8.085/y - (3*t^8.525)/y - (2*t^8.644)/y + (3*t^8.762)/y + (2*t^8.881)/y - t^4.152*y - 2*t^6.339*y - t^6.457*y - t^6.695*y + t^7.372*y + 2*t^7.491*y + t^7.61*y + 4*t^7.729*y + 3*t^7.848*y + 2*t^7.966*y + t^8.085*y - 3*t^8.525*y - 2*t^8.644*y + 3*t^8.762*y + 2*t^8.881*y	t^2.186/(g1^11*g2^13) + g1^2*g2^4*t^2.186 + t^2.305/(g1^2*g2^2) + 2*g1^3*g2^3*t^2.543 + t^3.576/(g1^7*g2^9) + g1^6*g2^8*t^3.576 + g1^2*g2^2*t^3.695 + g1^7*g2^7*t^3.933 + t^4.372/(g1^22*g2^26) + t^4.372/(g1^9*g2^9) + g1^4*g2^8*t^4.372 + t^4.491/(g1^13*g2^15) + g2^2*t^4.491 + t^4.61/(g1^4*g2^4) + (2*t^4.729)/(g1^8*g2^10) + 2*g1^5*g2^7*t^4.729 + 3*g1*g2*t^4.848 + 3*g1^6*g2^6*t^5.085 + t^5.762/(g1^18*g2^22) + t^5.762/(g1^5*g2^5) + g1^8*g2^12*t^5.762 + t^5.881/(g1^9*g2^11) + g1^4*g2^6*t^5.881 - 2*t^6. + (2*t^6.119)/(g1^4*g2^6) + 2*g1^9*g2^11*t^6.119 + 2*g1^5*g2^5*t^6.238 + 2*g1^10*g2^10*t^6.475 + t^6.559/(g1^33*g2^39) + t^6.559/(g1^20*g2^22) + t^6.559/(g1^7*g2^5) + g1^6*g2^12*t^6.559 + t^6.677/(g1^24*g2^28) + t^6.677/(g1^11*g2^11) + g1^2*g2^6*t^6.677 + t^6.796/g1^2 + t^6.796/(g1^15*g2^17) + (2*t^6.915)/(g1^19*g2^23) + (2*t^6.915)/(g1^6*g2^6) + 2*g1^7*g2^11*t^6.915 + (2*t^7.034)/(g1^10*g2^12) + 2*g1^3*g2^5*t^7.034 + t^7.152/(g1^14*g2^18) + t^7.152/(g1*g2) + g1^12*g2^16*t^7.152 + (2*t^7.271)/(g1^5*g2^7) + 2*g1^8*g2^10*t^7.271 + 2*g1^4*g2^4*t^7.39 + 4*g1^9*g2^9*t^7.628 + g1^14*g2^14*t^7.865 + t^7.949/(g1^29*g2^35) + t^7.949/(g1^16*g2^18) + t^7.949/(g1^3*g2) + g1^10*g2^16*t^7.949 + t^8.067/(g1^20*g2^24) + g1^6*g2^10*t^8.067 - (2*t^8.186)/(g1^11*g2^13) - 2*g1^2*g2^4*t^8.186 + (2*t^8.305)/(g1^15*g2^19) - t^8.305/(g1^2*g2^2) + 2*g1^11*g2^15*t^8.305 + t^8.424/(g1^6*g2^8) + g1^7*g2^9*t^8.424 - 5*g1^3*g2^3*t^8.543 + (2*t^8.661)/(g1*g2^3) + 2*g1^12*g2^14*t^8.661 + t^8.745/(g1^44*g2^52) + t^8.745/(g1^31*g2^35) + t^8.745/(g1^18*g2^18) + t^8.745/(g1^5*g2) + g1^8*g2^16*t^8.745 + 3*g1^8*g2^8*t^8.78 + t^8.864/(g1^35*g2^41) + t^8.864/(g1^22*g2^24) + t^8.864/(g1^9*g2^7) + g1^4*g2^10*t^8.864 + t^8.982/(g1^26*g2^30) + t^8.982/(g1^13*g2^13) + g2^4*t^8.982 - t^4.152/(g1*g2*y) - t^6.339/(g1^12*g2^14*y) - (g1*g2^3*t^6.339)/y - t^6.457/(g1^3*g2^3*y) - (g1^2*g2^2*t^6.695)/y + t^7.372/(g1^9*g2^9*y) + t^7.491/(g1^13*g2^15*y) + (g2^2*t^7.491)/y + t^7.61/(g1^4*g2^4*y) + (2*t^7.729)/(g1^8*g2^10*y) + (2*g1^5*g2^7*t^7.729)/y + (3*g1*g2*t^7.848)/y + t^7.966/(g1^3*g2^5*y) + (g1^10*g2^12*t^7.966)/y + (g1^6*g2^6*t^8.085)/y - t^8.525/(g1^23*g2^27*y) - t^8.525/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.525)/y - t^8.644/(g1^14*g2^16*y) - (g2*t^8.644)/(g1*y) + t^8.762/(g1^18*g2^22*y) + t^8.762/(g1^5*g2^5*y) + (g1^8*g2^12*t^8.762)/y + t^8.881/(g1^9*g2^11*y) + (g1^4*g2^6*t^8.881)/y - (t^4.152*y)/(g1*g2) - (t^6.339*y)/(g1^12*g2^14) - g1*g2^3*t^6.339*y - (t^6.457*y)/(g1^3*g2^3) - g1^2*g2^2*t^6.695*y + (t^7.372*y)/(g1^9*g2^9) + (t^7.491*y)/(g1^13*g2^15) + g2^2*t^7.491*y + (t^7.61*y)/(g1^4*g2^4) + (2*t^7.729*y)/(g1^8*g2^10) + 2*g1^5*g2^7*t^7.729*y + 3*g1*g2*t^7.848*y + (t^7.966*y)/(g1^3*g2^5) + g1^10*g2^12*t^7.966*y + g1^6*g2^6*t^8.085*y - (t^8.525*y)/(g1^23*g2^27) - (t^8.525*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.525*y - (t^8.644*y)/(g1^14*g2^16) - (g2*t^8.644*y)/g1 + (t^8.762*y)/(g1^18*g2^22) + (t^8.762*y)/(g1^5*g2^5) + g1^8*g2^12*t^8.762*y + (t^8.881*y)/(g1^9*g2^11) + g1^4*g2^6*t^8.881*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
56301	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$	0.6717	0.85	0.7902	[M:[1.1474, 0.7211, 0.8526, 0.8088, 0.8526, 1.1912, 0.7211, 0.7649], q:[0.4044, 0.4482], qb:[0.8745, 0.743], phi:[0.3825]]	2*t^2.163 + 2*t^2.295 + 2*t^2.558 + 2*t^3.574 + t^3.968 + 3*t^4.326 + 4*t^4.458 + 3*t^4.59 + 4*t^4.721 + 5*t^4.853 + 3*t^5.116 + 3*t^5.737 + 2*t^5.868 - 3*t^6. - t^4.147/y - t^4.147*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
48214	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$	0.6342	0.7831	0.8099	[M:[1.1646, 0.7243, 0.8354, 0.8285, 0.8354, 1.1715], q:[0.4143, 0.4211], qb:[0.8614, 0.7504], phi:[0.3882]]	t^2.173 + t^2.329 + 2*t^2.506 + t^3.514 + t^3.65 + t^3.671 + t^3.691 + t^3.848 + t^4.346 + t^4.502 + t^4.658 + 2*t^4.679 + 3*t^4.835 + 3*t^5.012 + t^5.687 + t^5.844 + t^5.864 - 2*t^6. - t^4.165/y - t^4.165*y	detail